#help-10 | Mathematics | Page 563

strong vale May 28, 2022, 6:19 AM

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Does it give us the constant of proportionality (mentioned in the definition) implicitly?

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If so, how?

hushed moat May 28, 2022, 6:20 AM

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the constant of proportionality should be 1

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if you have a point that is x units up, it gets moved x units to the right (since its 45 degrees)

obtuse pebbleBOT May 28, 2022, 6:34 AM

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@strong vale Has your question been resolved?

strong vale May 28, 2022, 6:40 AM

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hushed moat if you have a point that is x units up, it gets moved x units to the right (sinc...

Gotcha, thanks as always

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.close

obtuse pebbleBOT May 28, 2022, 6:40 AM

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static fulcrum May 28, 2022, 6:54 AM

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Could someone help me with this question? I'm not interested in a C program here. I need to understand the mathematical part. Thank You.

obtuse pebbleBOT May 28, 2022, 6:54 AM

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static fulcrum Could someone help me with this question? I'm not interested in a C program here...

supple pumice May 28, 2022, 6:58 AM

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have you looked up the form of lagrange interpolation polynomial

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$$ p(x) = \frac{(x-\pi/4)}{(\pi/2 - \pi/4)}\sin(\pi/2) + \frac{(x-\pi/2)}{(\pi/4-\pi/2)}\sin(\pi/4) $$

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hang on

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thats wrong

static fulcrum May 28, 2022, 7:05 AM

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supple pumice $$ p(x) = \frac{(x-\pi/4)}{(\pi/2 - \pi/4)}\sin(\pi/2) + \frac{(x-\pi/2)}{(\pi/4...

Yeah, but trig functions are confusing me. I'm not good at math.

dawn meteor May 28, 2022, 7:06 AM

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static fulcrum Yeah, but trig functions are confusing me. I'm not good at math.

what exactly is confusing?

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that expression is pretty much it

supple pumice May 28, 2022, 7:06 AM

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wait thats also wrong

static fulcrum May 28, 2022, 7:06 AM

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I don't know how to fit trig functions here which are mentioned in the question.

warm shaleBOT May 28, 2022, 7:07 AM

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please request a new nickname

dawn meteor May 28, 2022, 7:07 AM

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static fulcrum I don't know how to fit trig functions here which are mentioned in the question.

Lagrange interpolation doesn't need any function, it just needs a bunch of points

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so the only relevance that the trig function has is to generate those points

static fulcrum May 28, 2022, 7:09 AM

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I'm familiar with x and f(x) values

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here it is x and y= sin (x)

dawn meteor May 28, 2022, 7:10 AM

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so what's the issue?

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f(x) is just sin(x) here

supple pumice May 28, 2022, 7:11 AM

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interpolation is meant to approximate a function

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thats all this is

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we have an approximation to sin(x) in the form of p(x)

static fulcrum May 28, 2022, 7:12 AM

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how should I mention Pi/4 and Pi/2 ?

supple pumice May 28, 2022, 7:12 AM

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its part of the interpolation

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do you have code for an interpolation function

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1. Start

2. Read Number of Data (n)

3. Read Data:
   For i = 1 to n
     Read Xi and Yi
   Next i

4. Read xp
   
5. Initialize: yp = 0

6. For i = 1 to n
     p = 1
     For j =1 to n
       If i ≠ j 
         p = p * (xp - Xj)/(Xi - Xj)
       End If
     Next j
     yp = yp + p * Yi
   Next i

6. Print yp

7. Stop```

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some pseudocode

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or something similar

static fulcrum May 28, 2022, 7:14 AM

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#include<stdio.h>
main()
{
float x[100],y[100],a,s=1,t=1,k=0;
int n,i,j,d=1;
printf("\n\n Enter the number of the terms of the table: ");
scanf("%d",&n);
printf("\n\n Enter the respective values of the variables x and y: \n");
for(i=0; i<n; i++)
{
scanf ("%f",&x[i]);
scanf("%f",&y[i]);
}
printf("\n\n The table you entered is as follows :\n\n");
for(i=0; i<n; i++)
{
printf("%0.3f\t%0.3f",x[i],y[i]);
printf("\n");
}
while(d==1)
{
printf(" \n\n\n Enter the value of the x to find the respective value of y\n\n\n");
scanf("%f",&a);
for(i=0; i<n; i++)
{
s=1;
t=1;
for(j=0; j<n; j++)
{
if(j!=i)
{
s=s*(a-x[j]);
t=t*(x[i]-x[j]);
}
}
k=k+((s/t)*y[i]);
}
printf("\n\n The respective value of the variable y is: %f",k);
printf("\n\n Do you want to continue?\n\n Press 1 to continue and any other key to exit");
scanf("%d",&d);
}
}

supple pumice May 28, 2022, 7:17 AM

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damn sorry im not familiar with C

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its taking me a while

dawn meteor May 28, 2022, 7:17 AM

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@static fulcrum

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can you edit your code above

static fulcrum May 28, 2022, 7:18 AM

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supple pumice damn sorry im not familiar with C

No problem buddy. Let me show you something here.

dawn meteor May 28, 2022, 7:18 AM

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and put it inside a pair of ```

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it'll make it formatted on discord

supple pumice May 28, 2022, 7:19 AM

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#include<stdio.h>
main()
{
    float x[100],y[100],a,s=1,t=1,k=0;
    int n,i,j,d=1;
    printf("\n\n Enter the number of the terms of the table: ");
    scanf("%d",&n);
    printf("\n\n Enter the respective values of the variables x and y: \n");
    for(i=0; i<n; i++)
    {
        scanf ("%f",&x[i]);
        scanf("%f",&y[i]);
    }
    printf("\n\n The table you entered is as follows :\n\n");
    for(i=0; i<n; i++)
    {
        printf("%0.3f\t%0.3f",x[i],y[i]);
        printf("\n");
    }
    while(d==1)
    {
        printf(" \n\n\n Enter the value of the x to find the respective value of y\n\n\n");
        scanf("%f",&a);
        for(i=0; i<n; i++)
        {
            s=1;
            t=1;
            for(j=0; j<n; j++)
            {
                if(j!=i)
                {
                    s=s(a-x[j]);
                    t=t(x[i]-x[j]);
                }
            }
            k=k+((s/t)*y[i]);
        }
        printf("\n\n The respective value of the variable y is: %f",k);
        printf("\n\n Do you want to continue?\n\n Press 1 to continue and any other key to exit");
        scanf("%d",&d);
    }
}

static fulcrum May 28, 2022, 7:20 AM

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It is asking to enter the value of x; how should I enter Pi/4?

dawn meteor May 28, 2022, 7:20 AM

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static fulcrum how should I mention Pi/4 and Pi/2 ?

approximate it to some decimals I guess

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,w pi/4

warm shaleBOT May 28, 2022, 7:20 AM

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supple pumice May 28, 2022, 7:20 AM

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yeah that should work

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have you tried that

static fulcrum May 28, 2022, 7:21 AM

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yeah, but there is another confusion.

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in the question it is mentioned that "find the value of Sin (Pi/6)" how will this suppose to work here?

dawn meteor May 28, 2022, 7:22 AM

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just evaluate the lagrange polynomial at x=pi/6

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if you've constructed it like described above, the polynomial is meant to be an approximation for the function already

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so all you have to do is plug in the value of x that you want to evaluate

supple pumice May 28, 2022, 7:25 AM

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the function in C takes the data from the table and constructs a Lagrange polynomial function

static fulcrum May 28, 2022, 7:25 AM

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Does Sin (Pi/6) won't mean anything here?

supple pumice May 28, 2022, 7:25 AM

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then it asks for another input to evaluate for

static fulcrum May 28, 2022, 7:25 AM

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What changes should I do for Y coordinate?

dawn meteor May 28, 2022, 7:26 AM

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??

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it really feels that you do not get what Lagrange interpolation is doing, and are too hung up on the fact that it's a trig function..

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have you tried this lagrange interpolation with any other function?

static fulcrum May 28, 2022, 7:27 AM

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yeah

dawn meteor May 28, 2022, 7:27 AM

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so why is the fact that it's a sin function tripping you up?

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literally the only relevance sin has here is to provide the y values at pi/4 and pi/2

static fulcrum May 28, 2022, 7:28 AM

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bcz it is Pi/6 here?

dawn meteor May 28, 2022, 7:28 AM

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and pi is just a constant, but in the end its still a number

dawn meteor May 28, 2022, 7:28 AM

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static fulcrum bcz it is Pi/6 here?

so?

static fulcrum May 28, 2022, 7:28 AM

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What would I do if it is for example Pi/4?

supple pumice May 28, 2022, 7:28 AM

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"Enter the number of terms for the table"
3, since you are given three data points

"Enter the respective x and y values"
0,0 pi/2, sin(pi/2) pi/4,sin(pi/4)

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or something similar

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im not sure how your input works

dawn meteor May 28, 2022, 7:29 AM

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static fulcrum What would I do if it is for example Pi/4?

just use the value of Pi/4 instead??

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I really don't get what you're confused over

supple pumice May 28, 2022, 7:29 AM

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"Enter the value of x to find respective y"
pi/6

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what part of this is difficult to understand?

dawn meteor May 28, 2022, 7:30 AM

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supple pumice "Enter the value of x to find respective y" pi/6

specifically input the numerical value, which is known since we know Pi

supple pumice May 28, 2022, 7:30 AM

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oh yeah

dawn meteor May 28, 2022, 7:31 AM

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that's the only point I can think that's confusing.. and if so, just use PI = 3.14159 or smtn, should be enough for this

static fulcrum May 28, 2022, 7:33 AM

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Okay thanks buddies for your efforts. I'm trying to solve it this way. @dawn meteor @supple pumice Many Thanks

supple pumice May 28, 2022, 7:33 AM

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np

obtuse pebbleBOT May 28, 2022, 7:48 AM

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@static fulcrum Has your question been resolved?

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patent shell May 28, 2022, 8:03 AM

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Hi, can anyone explain what this sentence mean?

obtuse pebbleBOT May 28, 2022, 8:03 AM

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patent shell Hi, can anyone explain what this sentence mean?

limber wharf May 28, 2022, 8:05 AM

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Are you familiar with the idea that x^2 + y^2 ≤ 1 forms a disc, if graphed?

patent shell May 28, 2022, 8:06 AM

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I think I do?

limber wharf May 28, 2022, 8:07 AM

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patent shell May 28, 2022, 8:07 AM

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Is a circle of r=1?

limber wharf May 28, 2022, 8:07 AM

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Yes, it is

patent shell May 28, 2022, 8:07 AM

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I'm much more confused on the portion

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and the first quadrant

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I haven't heard of this two words before

haughty coyote May 28, 2022, 8:07 AM

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in black is the part in the first quadrant, i.e. the upper-right corner

patent shell May 28, 2022, 8:08 AM

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oooo

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make sence

limber wharf May 28, 2022, 8:08 AM

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Here you can see all the quadrant numbers

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The x and y axis split the surface into those four

patent shell May 28, 2022, 8:10 AM

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okay, so the disk in the first quadrant is the part of the circle lies in quadrant 1

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what does the portion of the disk mean?

limber wharf May 28, 2022, 8:10 AM

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Part of the disk

patent shell May 28, 2022, 8:11 AM

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o - o

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thanks a lot!

limber wharf May 28, 2022, 8:11 AM

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haughty coyote in black is the part in the first quadrant, i.e. the upper-right corner

So D lies in the dark part of the disk

limber wharf May 28, 2022, 8:11 AM

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patent shell thanks a lot!

No problem

patent shell May 28, 2022, 8:11 AM

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I got it ,thank you ~

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.close

obtuse pebbleBOT May 28, 2022, 8:11 AM

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timid silo May 28, 2022, 8:18 AM

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obtuse pebbleBOT May 28, 2022, 8:18 AM

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timid silo

timid silo May 28, 2022, 8:18 AM

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Should i choose a number that's less than - 1/a and put it in f''(x)?

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I know every part except finding the concavity

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Why is it concave and not convex

obtuse pebbleBOT May 28, 2022, 8:35 AM

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@timid silo Has your question been resolved?

obtuse pebbleBOT May 28, 2022, 9:08 AM

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@timid silo Has your question been resolved?

obtuse pebbleBOT May 28, 2022, 10:08 AM

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@timid silo Has your question been resolved?

cursive jolt May 28, 2022, 10:11 AM

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timid silo Why is it concave and not convex

A function is convex on I iff its second derivative f" is positive
Concave is the opposite (f negative)
||when f'' exists, that is.||

cursive jolt May 28, 2022, 10:12 AM

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timid silo Should i choose a number that's less than - 1/a and put it in f''(x)?

You can, or you can also make your reasoning with inequalities instead of equalities.
Here, you want to know when f" is negative (i.e when f is concave). So the equation you want to solve is

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$f^{''}(x) \leq 0$

warm shaleBOT May 28, 2022, 10:13 AM

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Twenty

timid silo May 28, 2022, 10:17 AM

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@cursive jolt

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Could i say its concave because of the positive sign?

cursive jolt May 28, 2022, 10:18 AM

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timid silo Could i say its concave because of the positive sign?

what do you mean ?

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That ?

timid silo May 28, 2022, 10:19 AM

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I mean without the a in the function

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Would the graph of the x^3 + 3x^2 +4x +5

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Not be positive

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Or does that not make sence

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Nevermind that's wronf

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@cursive jolt

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What number should i chose here to put in f``(x)

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The only thing that's bugging me is the (a)

cursive jolt May 28, 2022, 10:25 AM

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Oh, ok I think I see your problem
Yeah, actually the sign of a that changes the convexity of the function.

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In my opinion this way of writing things (the 1st screen) is a bit error-friendly
I'd have solved the inequality instead (because when you divide by a, you indeed need to separate the cases depending on the sign of a)

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It would become
$f''(x) \leq 0 \Longleftrightarrow 6ax + 6 \leq 0 \Longleftrightarrow ax \leq -1$

warm shaleBOT May 28, 2022, 10:28 AM

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Twenty

cursive jolt May 28, 2022, 10:28 AM

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And here :

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If $a>0$ then $f''(x) \leq 0 \Longleftrightarrow x \leq \frac{-1}{a}$

warm shaleBOT May 28, 2022, 10:28 AM

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Twenty

cursive jolt May 28, 2022, 10:28 AM

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If $a<0$ then $f''(x) \leq 0 \Longleftrightarrow x \geq \frac{-1}{a}$

warm shaleBOT May 28, 2022, 10:29 AM

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Twenty

cursive jolt May 28, 2022, 10:29 AM

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Wait

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,w plot -x^3 +3x^2 + 4x + 5 from -10 to 10

warm shaleBOT May 28, 2022, 10:34 AM

#

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cursive jolt May 28, 2022, 10:35 AM

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The function is clearly convex for x<1

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thinkies

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The right answer is C @timid silo

timid silo May 28, 2022, 10:40 AM

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A according to the answers

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This one is aswell 🤔

obtuse pebbleBOT May 28, 2022, 11:08 AM

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zenith sky May 28, 2022, 11:19 AM

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how do i get from the left to the right side?

obtuse pebbleBOT May 28, 2022, 11:19 AM

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zenith sky how do i get from the left to the right side?

tranquil arch May 28, 2022, 11:24 AM

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zenith sky how do i get from the left to the right side?

$3^{k+1} = 3 \times 3^k$

warm shaleBOT May 28, 2022, 11:24 AM

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秋水

zenith sky May 28, 2022, 11:25 AM

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yes, but i still don't see how to get the right side from this

timid silo May 28, 2022, 11:26 AM

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zenith sky how do i get from the left to the right side?

factor it

tranquil arch May 28, 2022, 11:26 AM

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$3^k+3\times 3^k = (1+3)\times 3^k$

warm shaleBOT May 28, 2022, 11:26 AM

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秋水

timid silo May 28, 2022, 11:26 AM

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warm shale **秋水**

yes like this

zenith sky May 28, 2022, 11:26 AM

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oooh yes of course

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my brain kinda died

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thansk

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.close

obtuse pebbleBOT May 28, 2022, 11:26 AM

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Remember:
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• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
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torpid scroll May 28, 2022, 11:30 AM

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obtuse pebbleBOT May 28, 2022, 11:30 AM

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torpid scroll

torpid scroll May 28, 2022, 11:31 AM

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Can Anyone help me with this question so its asking for the shortest lengt

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h

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length so its a1 = ?

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what i got is that the number of sequences are 9 and that a9= 6 and the sum of all is 45 if i am not wrong could someone walk me through the right directions for the next step?

tranquil arch May 28, 2022, 11:40 AM

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torpid scroll what i got is that the number of sequences are 9 and that a9= 6 and the sum of...

do you know $S_9 = \frac{(a_1 +a_9)\times 9}{2}$

warm shaleBOT May 28, 2022, 11:40 AM

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秋水

torpid scroll May 28, 2022, 11:40 AM

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let me check

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is that

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the same with one of these?

tranquil arch May 28, 2022, 11:44 AM

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yes, formula for a1+a2+...+an

torpid scroll May 28, 2022, 11:45 AM

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9 would be the number of terms

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id have all except a1

tranquil arch May 28, 2022, 11:46 AM

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you know a9, so you can solve a1

torpid scroll May 28, 2022, 11:49 AM

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so id do some substituting ??

tranquil arch May 28, 2022, 11:49 AM

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yes

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you know $a_9=6$, and you want to get $a_1$

warm shaleBOT May 28, 2022, 11:50 AM

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秋水

tranquil arch May 28, 2022, 11:51 AM

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and you know $S_9 = a_1+a_2+\dots+a_9 = \frac{(a_1 +a_9)\times 9}{2} = 45$

warm shaleBOT May 28, 2022, 11:51 AM

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秋水

torpid scroll May 28, 2022, 11:52 AM

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yes

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earlier I tried solving it like 9/2 ( a1 + 6)

torpid scroll May 28, 2022, 11:53 AM

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tranquil arch do you know $S_9 = \frac{(a_1 +a_9)\times 9}{2}$

would that be the same as this ?

tranquil arch May 28, 2022, 11:54 AM

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what do you mean?

torpid scroll May 28, 2022, 11:55 AM

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torpid scroll is that

like using this I used the second one

tranquil arch May 28, 2022, 11:57 AM

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torpid scroll like using this I used the second one

yes, it's the formula for the sum of form a_1 to a_n

torpid scroll May 28, 2022, 12:06 PM

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oh so it would be (4+6) (9) / 2

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that would be 45

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could ya help me with doing the substituting I find it my big weakness in math

tranquil arch May 28, 2022, 12:07 PM

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$\frac{(a_1 +6)\times 9}{2}=45$

torpid scroll May 28, 2022, 12:07 PM

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wheres the 9 ?

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oh nvm

warm shaleBOT May 28, 2022, 12:08 PM

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秋水

tranquil arch May 28, 2022, 12:08 PM

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you mean you don't know how to solve this equation?

torpid scroll May 28, 2022, 12:09 PM

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kinda yeah I always just did trial and error when it came to stuff like these

tranquil arch May 28, 2022, 12:11 PM

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$$\begin{aligned}
\frac{(a_1 +6)\times 9}{2}&=45 \
(a_1+6) \times9 &=90 \
a_1 +6&=10\
a_1 &= 4
\end{aligned}$$

warm shaleBOT May 28, 2022, 12:11 PM

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秋水

torpid scroll May 28, 2022, 12:12 PM

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ohh

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yeah i cant wrap my head arounf this when i was younger

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could i ask what lesson this is I believe it I learned this long ago I think i need to revisit my prev lessons

tranquil arch May 28, 2022, 12:13 PM

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you can watch this https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:solve-equations-inequalities

Khan Academy

Solving equations & inequalities | Algebra 1 | Math | Khan Academy

In this unit, we learn how to solve linear equations and inequalities that contain a single variable. For example, we'll solve equations like 2(x+3)=(4x-1)/2+7 and inequalities like 5x-2≥2(x-1).

torpid scroll May 28, 2022, 12:13 PM

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khan academy is free?

tranquil arch May 28, 2022, 12:13 PM

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torpid scroll could i ask what lesson this is I believe it I learned this long ago I think i n...

solve equations

tranquil arch May 28, 2022, 12:13 PM

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torpid scroll khan academy is free?

it's free

torpid scroll May 28, 2022, 12:13 PM

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I m working on it 😄

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gotta get my stuff together

obtuse pebbleBOT May 28, 2022, 12:28 PM

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@torpid scroll Has your question been resolved?

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nocturne zealot May 28, 2022, 1:13 PM

#

obtuse pebbleBOT May 28, 2022, 1:13 PM

#

nocturne zealot

nocturne zealot May 28, 2022, 1:13 PM

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#

question 6 c

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What is the alternative way other than subtracting? Like using nPr instead of subtracting b from total

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Thanks

obtuse pebbleBOT May 28, 2022, 1:30 PM

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@nocturne zealot Has your question been resolved?

twilit ivy May 28, 2022, 1:39 PM

#

nocturne zealot What is the alternative way other than subtracting? Like using nPr instead of su...

select 1 boy from 10 boys and select 1 girl from 7 girls
then arrange them
¹⁰ P₁⁷P₁2!

nocturne zealot May 28, 2022, 1:39 PM

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@twilit ivy why do you times it by 2!?

twilit ivy May 28, 2022, 1:40 PM

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arranging

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for example

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if u select boy A and girl B
then A can play the hero and B can play the villain or A can play the villain and B can play the hero

nocturne zealot May 28, 2022, 1:41 PM

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ohhhhhh

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got it thank you

#

.close

obtuse pebbleBOT May 28, 2022, 1:41 PM

#

Channel closed

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warm mortar May 28, 2022, 1:55 PM

#

Not sure of the formula or how to exactly solve.

obtuse pebbleBOT May 28, 2022, 1:55 PM

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warm mortar Not sure of the formula or how to exactly solve.

timid silo May 28, 2022, 1:56 PM

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A geometric progresion is when each next in the series is greater than the previous by a certain number of times

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so 4 * n = x

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where n is the geometric progression

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x * n = 25

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solve for x

hexed agate May 28, 2022, 1:58 PM

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common ratio, r = x/4 = 25/x

warped agate May 28, 2022, 1:58 PM

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warm mortar Not sure of the formula or how to exactly solve.

if a,b,c are in geometric progression , b^2=ac

warm mortar May 28, 2022, 1:58 PM

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timid silo solve for x

so we just solve for x and we find the answer?

timid silo May 28, 2022, 1:58 PM

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yup

warm mortar May 28, 2022, 1:59 PM

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alright thank you

#

.close

obtuse pebbleBOT May 28, 2022, 1:59 PM

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Channel closed

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hidden ridge May 28, 2022, 2:12 PM

#

Could I get help with these questions?

obtuse pebbleBOT May 28, 2022, 2:12 PM

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hidden ridge Could I get help with these questions?

floral canopy May 28, 2022, 2:14 PM

#

You have two equations and two variables

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2x+5y=81
5x+10y=175

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Because x is the amount of $2 coins and y is the amount of 5$ bills

warm shaleBOT May 28, 2022, 2:15 PM

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sloppymope

obtuse pebbleBOT May 28, 2022, 2:27 PM

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@hidden ridge Has your question been resolved?

obtuse pebbleBOT May 28, 2022, 2:42 PM

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Channel closed

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obtuse pebbleBOT May 28, 2022, 3:09 PM

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wide dust May 28, 2022, 3:25 PM

#

Topic : Numerical Differentiation
Find f'(0) if the graph of y f(x) pass through the point (−1.2,−5.76), (0.3,−5.61), and(1.1,-3.69).
Sorry if it's phrased weirdly, I translated this

obtuse pebbleBOT May 28, 2022, 3:25 PM

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wide dust Topic : Numerical Differentiation Find f'(0) if the graph of y f(x) pass through...

wide dust May 28, 2022, 3:25 PM

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Honestly I don't know where to begin

swift marsh May 28, 2022, 3:28 PM

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Do you know if the function is a quadratic? Or what form it takes?

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You can’t deduce that without more information

wide dust May 28, 2022, 3:29 PM

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That's the only information given

swift marsh May 28, 2022, 3:30 PM

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Then you’ve been given an impossible question…

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Or maybe you’re missing out something important

wide dust May 28, 2022, 3:30 PM

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there's no function or equation

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possibly, I'm still trying to understand it

swift marsh May 28, 2022, 3:36 PM

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Both of these functions satisfy your requirements and have clearly different gradients when x = 0

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And this question is completely different if they mention ‘parabola’ or anything like that

wide dust May 28, 2022, 3:40 PM

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Here's what I found with newton interpolation

swift marsh May 28, 2022, 3:43 PM

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Yep that’s the solution when it’s a quadratic

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But it doesn’t have to be, if they worded the question appropriately it should imply that

wide dust May 28, 2022, 3:45 PM

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I see, alright thxx then

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I'll go with that

swift marsh May 28, 2022, 3:48 PM

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Yea np man

wide dust May 28, 2022, 3:49 PM

#

.close

obtuse pebbleBOT May 28, 2022, 3:49 PM

#

Channel closed

Closed by @wide dust

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distant moth May 28, 2022, 3:57 PM

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obtuse pebbleBOT May 28, 2022, 3:57 PM

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distant moth

rancid dust May 28, 2022, 3:59 PM

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im guessing here {-2.3} = 0.7

distant moth May 28, 2022, 3:59 PM

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rancid dust im guessing here {-2.3} = 0.7

yes

rancid dust May 28, 2022, 4:00 PM

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hmm ok

distant moth May 28, 2022, 4:00 PM

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i can see its not option d

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cuz 0 is a solution

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am i supposed to draw the graph of the lhs?

brave bramble May 28, 2022, 4:01 PM

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Worth noticing that
{x} = x - [x]

rancid dust May 28, 2022, 4:01 PM

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ah ive got it

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just use casework

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positive negative x

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should yield ||2|| solutions

warped agate May 28, 2022, 4:05 PM

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distant moth

make cases

drowsy girder May 28, 2022, 4:09 PM

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#❓how-to-get-help

proper merlin May 28, 2022, 4:10 PM

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my bad sorryyy

obtuse pebbleBOT May 28, 2022, 4:15 PM

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@distant moth Has your question been resolved?

distant moth May 28, 2022, 4:37 PM

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.close

obtuse pebbleBOT May 28, 2022, 4:37 PM

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Channel closed

Closed by @distant moth

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distant moth May 28, 2022, 4:39 PM

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.reopen

obtuse pebbleBOT May 28, 2022, 4:39 PM

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✅

distant moth May 28, 2022, 4:40 PM

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rancid dust should yield ||2|| solutions

its given 3 solutions in the answer key

#

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how is the 2-2{x} coming, im guessing its from 2{-x} but i cant understand it

warm canopy May 28, 2022, 4:43 PM

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Because {-x} = 1 - {x}

distant moth May 28, 2022, 4:43 PM

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ah yes

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i did come to that

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smh

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ok i got 3 solutions thanks

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.close

obtuse pebbleBOT May 28, 2022, 4:49 PM

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Channel closed

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muted zodiac May 28, 2022, 4:54 PM

#

let f be a function f (x, y) = (xy) ^ 1/3

A person is on the surface at point 1,8. Which normalized H vector should he turn in order to remain at the same height Z = 2?

obtuse pebbleBOT May 28, 2022, 4:54 PM

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muted zodiac let f be a function f (x, y) = (xy) ^ 1/3 1) A person is on the surface at point...

timid silo May 28, 2022, 4:58 PM

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should he turn can you explain what exactly u mean here like turning by Hs angle and moving a length of 1 magnitude?

muted zodiac May 28, 2022, 4:59 PM

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@timid silo we need to find with direction H we should turn and still be in heights Z=2

timid silo May 28, 2022, 4:59 PM

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well turning

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and staying at same position

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will still have the same h

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coz ur at the same x, y, z point

muted zodiac May 28, 2022, 5:00 PM

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this is the solution but i could understand him..

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we have the (2,1/4) by the function giving.

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Why do we make a scalar product and equate to 0? @timid silo

timid silo May 28, 2022, 5:01 PM

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nvm this looks like vector calculus which is out of my knowledge

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sorry

warm canopy May 28, 2022, 5:03 PM

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muted zodiac Why do we make a scalar product and equate to 0? <@456226577798135808>

The dot product with the gradient is the directional derivative, how much the function is changing in the direction of the vector h

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We want to find h such that the function remains constant in that direction, so we need the directional derivative to be zero

obtuse pebbleBOT May 28, 2022, 5:16 PM

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@muted zodiac Has your question been resolved?

muted zodiac May 28, 2022, 5:19 PM

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@warm canopy But if I make a dot product and compare them to 0, does that not mean they are perpendicular to each other?

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Can you try to draw it for me?

obtuse pebbleBOT May 28, 2022, 5:50 PM

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@muted zodiac Has your question been resolved?

solar trellis May 28, 2022, 6:00 PM

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muted zodiac this is the solution but i could understand him..

You can also interpret this as follows. $\nabla f(1, 8)$ is perpendicular the the level set $f = 2$ at $(1, 8)$ so as $\bf{h}$ is parallel to the this level set at that point, $\nabla f (1, 8) \cdot \bf{h} = 0$.

muted zodiac May 28, 2022, 6:00 PM

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@solar trellis i cant see

warm shaleBOT May 28, 2022, 6:00 PM

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giannis_money

muted zodiac May 28, 2022, 6:05 PM

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@warm shale can you please try to draw the perpendicular vectors?

devout solar May 28, 2022, 6:28 PM

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muted zodiac <@510789298321096704> can you please try to draw the perpendicular vectors?

Why woukd texit do it

obtuse pebbleBOT May 28, 2022, 7:05 PM

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@muted zodiac Has your question been resolved?

obtuse pebbleBOT May 28, 2022, 8:05 PM

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Channel closed

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white flame May 28, 2022, 8:20 PM

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obtuse pebbleBOT May 28, 2022, 8:20 PM

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white flame

white flame May 28, 2022, 8:20 PM

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I have a maths worksheet due tomorrow and i need help

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For the first wuestion i think its b

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I do know the answers for everything but i will be happy for someone to help me make sure my answers are tight

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<@&286206848099549185>

wintry cradle May 28, 2022, 8:26 PM

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i think n1 is 750cm squared lol

white flame May 28, 2022, 8:26 PM

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Do you mind explaining how

wintry cradle May 28, 2022, 8:27 PM

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the area of a parallelogram is just b x h

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im a lil unsure tho!!!

haughty coyote May 28, 2022, 8:29 PM

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wintry cradle the area of a parallelogram is just b x h

It is because you can cut a parallelogram into 2 triangles of area bh/2

white flame May 28, 2022, 8:30 PM

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So its 720 right?

wintry cradle May 28, 2022, 8:30 PM

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they dont actually give ya the height so i think theres some trigonometry involved 😭

white flame May 28, 2022, 8:31 PM

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Slant hieght

wintry cradle May 28, 2022, 8:31 PM

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i got 750 by doing a x b so im obviously wrong

haughty coyote May 28, 2022, 8:31 PM

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Pythagoras is enough

white flame May 28, 2022, 8:31 PM

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Themateo

wintry cradle May 28, 2022, 8:31 PM

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i love pythag

white flame May 28, 2022, 8:31 PM

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What do u think is the answer

haughty coyote May 28, 2022, 8:31 PM

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It is 720

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Because 7 24 25 is a Pythagorean triple and so the result is 24*30

white flame May 28, 2022, 8:32 PM

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Yeah okay

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I thought so too

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Can u tell me what u for for the second question

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Im trying to study for my exam next week and this is one of the worksheets that i need to study for the exam and im making sure my answers are correct

haughty coyote May 28, 2022, 8:33 PM

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It can be separated into two equal triangles whose height and base are known

white flame May 28, 2022, 8:34 PM

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So i got 7.5 x 15 is 112.5 and 112.5 x2= 225

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Thats my answer

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Is that correct

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@haughty coyote

haughty coyote May 28, 2022, 8:35 PM

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Correct result

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Disagree with the method though

white flame May 28, 2022, 8:35 PM

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Ok thanks what about the third question

haughty coyote May 28, 2022, 8:36 PM

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Simplifying 30/2 to 15 hides the reasoning

white flame May 28, 2022, 8:36 PM

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haughty coyote Disagree with the method though

As long as its right lol

haughty coyote May 28, 2022, 8:36 PM

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You should care about the method

white flame May 28, 2022, 8:36 PM

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Theneateo if u dont mind just telling me the answers and if i got it wrong just explain to me

white flame May 28, 2022, 8:37 PM

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haughty coyote You should care about the method

My method is my teachers method i swear

haughty coyote May 28, 2022, 8:37 PM

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Math builds upon itself, and that includes understanding, so making sure you understand matters

haughty coyote May 28, 2022, 8:37 PM

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white flame So i got 7.5 x 15 is 112.5 and 112.5 x2= 225

There is no method shown here. If I were to guess the method from that I would guess a wrong method

white flame May 28, 2022, 8:38 PM

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Whats the answer for the third one pls

haughty coyote May 28, 2022, 8:40 PM

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The 3rd one has me confused right now

white flame May 28, 2022, 8:41 PM

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YES ME TOO my answer is i think way off

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32750

haughty coyote May 28, 2022, 8:41 PM

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Breaking it up into a square and a triangle, that triangle is right because it's a trapezoid but it doesn't respect the Pythagorean equality

timid silo May 28, 2022, 8:47 PM

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in third one from point c drop a perpendicular to ab...it will create a right angle triangle

white flame May 28, 2022, 8:47 PM

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R u sure?

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Pls be sure

solar trellis May 28, 2022, 8:47 PM

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no

white flame May 28, 2022, 8:47 PM

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Pls

solar trellis May 28, 2022, 8:47 PM

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nvm

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how did you get that?

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it's wrong

white flame May 28, 2022, 8:50 PM

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I feel like its wrong

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Pls for the love of god give me the right answer and the solution

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<@&286206848099549185>

haughty coyote May 28, 2022, 8:51 PM

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haughty coyote Breaking it up into a square and a triangle, that triangle is right because it's...

I fail to see how this figure could exist

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To me its impossible

solar trellis May 28, 2022, 8:52 PM

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i agree

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such a shape cannot exist

timid silo May 28, 2022, 8:54 PM

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solar trellis i agree

is the length of AB=150

solar trellis May 28, 2022, 8:54 PM

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yes..

white flame May 28, 2022, 8:57 PM

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Guys

#

#

Can u help me with auestion 6,7 and 8 plsssss

hybrid gull May 28, 2022, 8:59 PM

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white flame Can u help me with auestion 6,7 and 8 plsssss

Bigger photo, and send what you've tried.

white flame May 28, 2022, 9:03 PM

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solar trellis May 28, 2022, 9:09 PM

#

#

what's a radar scope

white flame May 28, 2022, 9:10 PM

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I dont even know

solar trellis May 28, 2022, 9:12 PM

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assuming it's supposed to be the area of a circle with radius 6.3 miles, your answer is right. so is the second one. what's your answer for 8?

obtuse pebbleBOT May 28, 2022, 9:25 PM

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@white flame Has your question been resolved?

white flame May 28, 2022, 9:25 PM

#

solar trellis assuming it's supposed to be the area of a circle with radius 6.3 miles, your an...

A and b

solar trellis May 28, 2022, 9:28 PM

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white flame A and b

what's the lateral area?

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as in, what does it refer to

white flame May 28, 2022, 9:32 PM

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Idk

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U tell me

solar trellis May 28, 2022, 9:40 PM

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white flame U tell me

i haven't heard of this term in this context so idk. how did you get an answer if you don't know what lateral area means?

white flame May 28, 2022, 9:40 PM

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Im done with my work

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Heading to sleep

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Ty for the hell

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Help

hybrid gull May 28, 2022, 9:54 PM

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.close if Don e

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Done

tardy epoch May 28, 2022, 9:56 PM

#

.close

obtuse pebbleBOT May 28, 2022, 9:56 PM

#

Channel closed

Closed by @tardy epoch

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ocean karma May 28, 2022, 10:08 PM

#

Asking this for someone else, as I do not know the answer and am curious as well.

obtuse pebbleBOT May 28, 2022, 10:08 PM

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ocean karma Asking this for someone else, as I do not know the answer and am curious as well...

timid silo May 28, 2022, 10:12 PM

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is the answer to the first question not just 6 choose 4?

ocean karma May 28, 2022, 10:14 PM

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timid silo is the answer to the first question not just 6 choose 4?

If I understand it correctly, it’s how many different 4-digit numbers can be made with no digits being 0 nor higher than 6.

timid silo May 28, 2022, 10:14 PM

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I can't tell for sure what the "one sequential repetition" condition means in the second part

timid silo May 28, 2022, 10:15 PM

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ocean karma If I understand it correctly, it’s how many different 4-digit numbers can be mad...

question says sets though, so I assumed order did not matter

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If order matters the first part is 6^4

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Wait no it’s not

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Missed the non-repeating

haughty coyote May 28, 2022, 10:16 PM

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It'd be 6*5*4*3

timid silo May 28, 2022, 10:16 PM

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Yeah 6x5x4x3

drifting wraith May 28, 2022, 10:17 PM

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it does phrase it like it's sets

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but the second one makes it clear

haughty coyote May 28, 2022, 10:17 PM

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But the examples + question 2 meant it look a lot like numbers

drifting wraith May 28, 2022, 10:17 PM

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that it's not

fierce lagoon May 28, 2022, 10:17 PM

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haughty coyote It'd be 6\*5\*4*3

Isn't that permutation?

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Which was what I was thinking

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6 P 4

haughty coyote May 28, 2022, 10:18 PM

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Yes

fierce lagoon May 28, 2022, 10:18 PM

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Oh my original message of 6 P 4 didn't send

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Lmao whoops

drifting wraith May 28, 2022, 10:18 PM

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there's only 3 cases, as far I can tell would make sense to do that

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1 repeated digit, 2 repeat, no repeat

ocean karma May 28, 2022, 10:19 PM

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timid silo I can't tell for sure what the "one sequential repetition" condition means in th...

I’m thinking the second question is how to calculate how many 4-digit numbers there are with the same digit occurring twice in a row (but not more). I agree that it’s not clear.

timid silo May 28, 2022, 10:19 PM

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is 1144 valid?

drifting wraith May 28, 2022, 10:19 PM

#

6P4 +
6P3 × 3C1 +
6P2

timid silo May 28, 2022, 10:20 PM

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I’m interpreting the second part to mean it can either have no repeated digit or the same digit twice in a row but only once

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So you can’t have 1122

drifting wraith May 28, 2022, 10:20 PM

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i interpreted it as you can't have 1112 but you can 1122

timid silo May 28, 2022, 10:20 PM

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But then it’s also using “set” to mean a collection where order matters so idk 🤷‍♂️

drifting wraith May 28, 2022, 10:22 PM

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no yeah, mine makes less sense

timid silo May 28, 2022, 10:22 PM

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I interpret 1144 to not be valid but I can't tell

drifting wraith May 28, 2022, 10:22 PM

#

6P4 +
6P3 × 3C1

timid silo May 28, 2022, 10:23 PM

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I think it is 6*3*5*4 (plus 6*5*4*3)

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for one of the 6 digits (call it n), there are 3*5*4*3 ways to make an arrangement that has an nn and the other 2 digits are not n

ocean karma May 28, 2022, 10:26 PM

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timid silo is 1144 valid?

I don’t think so, but I’m not fully sure. I’ve asked the user who originally asked the question, but he’s offline now.
Edit: it's not.

timid silo May 28, 2022, 10:27 PM

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3 places to put the nn and 5*4 to permute 5 other digits in the last 2 places

drifting wraith May 28, 2022, 10:27 PM

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timid silo for one of the 6 digits (call it n), there are 3\*5\*4\*3 ways to make an arrang...

that excludes 1234 but otherise yeah

timid silo May 28, 2022, 10:28 PM

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ok yea throw in the permutations from the first questions too

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catThink aren't sets unordered

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so we shouldn't be counting the permutations right?

drifting wraith May 28, 2022, 10:33 PM

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the "harder version" is doing order, so it's just ordered everywhere

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learn to ignore words at will, it's a requirement for too many problems

obtuse pebbleBOT May 28, 2022, 10:41 PM

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@ocean karma Has your question been resolved?

ocean karma May 28, 2022, 10:41 PM

#

.close

obtuse pebbleBOT May 28, 2022, 10:41 PM

#

Channel closed

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worn yacht May 29, 2022, 12:08 AM

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im confused with limiting values in the image above the guy said it is 2 but couldn't it be 1.9999 or something?

obtuse pebbleBOT May 29, 2022, 12:08 AM

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worn yacht im confused with limiting values in the image above the guy said it is 2 but cou...

sage iron May 29, 2022, 12:09 AM

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yeah it could be anything

rancid dust May 29, 2022, 12:09 AM

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we don't know the axes

sage iron May 29, 2022, 12:09 AM

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I know nothing about the graph

worn yacht May 29, 2022, 12:11 AM

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rancid dust we don't know the axes

would the axes help?

rancid dust May 29, 2022, 12:11 AM

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yeah

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but as of now we dont know how distorted the graph is

worn yacht May 29, 2022, 12:11 AM

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oh

worn yacht May 29, 2022, 12:12 AM

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rancid dust but as of now we dont know how distorted the graph is

and also how do you find out where to put those random dots to create a line?

rancid dust May 29, 2022, 12:13 AM

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idk what the diagram is trying to show ngl

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so i cant say for sure

worn yacht May 29, 2022, 12:14 AM

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rancid dust idk what the diagram is trying to show ngl

its the limiting value in calculus

rancid dust May 29, 2022, 12:15 AM

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that term doesn't ring a bell

worn yacht May 29, 2022, 12:16 AM

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rancid dust that term doesn't ring a bell

instantaneous rate of change i should say

cursive jolt May 29, 2022, 12:17 AM

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Like the slope of the tangent, right

rancid dust May 29, 2022, 12:18 AM

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~~u mean the derivative~~

cursive jolt May 29, 2022, 12:18 AM

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I think this is just an attempt to explain how to find that tangent (and especially the slope, which seems to two)

cursive jolt May 29, 2022, 12:19 AM

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rancid dust ~~u mean the derivative~~

Yeah, but when you're learning what a derivative is, it's the vocabulary you use in general

worn yacht May 29, 2022, 12:19 AM

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this is the video https://www.youtube.com/watch?v=jTvTthjtIrk&list=PL7HbxnIjedJvnxGd6FNeBVKzPAWHnXZAr&index=3

YouTube

MySecretMathTutor

Calculus - Approximating the instantaneous Rate of Change of a Func...

In this video I go over how you can approximate the instantaneous rate of change of a function. This is also the same as approximating the slope of a tangent line. You'll see that the key for doing this process is to use the average rate of change with two points, and then simply move the two points closer together.

For more videos check ou...

▶ Play video

cursive jolt May 29, 2022, 12:20 AM

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Oh okay, so this is a video not an actual lesson of class

worn yacht May 29, 2022, 12:20 AM

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cursive jolt Oh okay, so this is a video not an actual lesson of class

yeah

worn yacht May 29, 2022, 12:21 AM

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cursive jolt Oh okay, so this is a video not an actual lesson of class

so?

cursive jolt May 29, 2022, 12:22 AM

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Well, nothing tells you that the guys on YouTube have the qualifications
This guy seems to know what he's talking about, but still

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Anyways

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Without values on the axis you can't check what he says

worn yacht May 29, 2022, 12:23 AM

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oh

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.close

obtuse pebbleBOT May 29, 2022, 12:26 AM

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Channel closed

Closed by @worn yacht

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worn yacht May 29, 2022, 12:26 AM

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.reopen

obtuse pebbleBOT May 29, 2022, 12:26 AM

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✅

worn yacht May 29, 2022, 12:27 AM

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cursive jolt Well, nothing tells you that the guys on YouTube have the qualifications This gu...

and one last thing how does he know where to put the lines?

cursive jolt May 29, 2022, 12:29 AM

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worn yacht and one last thing how does he know where to put the lines?

Oh right, that you can tell without values.
The "lines" are defined by the two points he puts on the graph. The idea is to fix one of the points, and to put the second point closer and closer of that first point (but not exactly at the first point's position)

obtuse pebbleBOT May 29, 2022, 12:42 AM

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@worn yacht Has your question been resolved?

obtuse pebbleBOT May 29, 2022, 12:57 AM

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Channel closed

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obtuse pebbleBOT May 29, 2022, 3:21 AM

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blissful pollen May 29, 2022, 3:42 AM

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obtuse pebbleBOT May 29, 2022, 3:42 AM

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blissful pollen

blissful pollen May 29, 2022, 3:42 AM

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https://cdn.discordapp.com/attachments/868674292446027808/980314952378224661/IMG_4174.png

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is this correct?

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the answer would be (A) A

finite vector May 29, 2022, 3:50 AM

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Yes looks correct

blissful pollen May 29, 2022, 3:52 AM

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alright

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.close

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timid silo May 29, 2022, 4:30 AM

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In some article I have seen a notation $^nC_m$ where n and m are Integers. What does notation signify?

obtuse pebbleBOT May 29, 2022, 4:30 AM

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timid silo In some article I have seen a notation $^nC_m$ where n and m are Integers. What ...

warm shaleBOT May 29, 2022, 4:30 AM

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Pencil

drifting wraith May 29, 2022, 4:31 AM

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https://en.wikipedia.org/wiki/Binomial_coefficient

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not necessarily but not unlikely

timid silo May 29, 2022, 4:32 AM

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Ohh thank you o7

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.close

obtuse pebbleBOT May 29, 2022, 4:32 AM

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Channel closed

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timid silo May 29, 2022, 4:34 AM

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.reopen

obtuse pebbleBOT May 29, 2022, 4:34 AM

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✅

timid silo May 29, 2022, 4:34 AM

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One more thing, is this the choose function?

high lily May 29, 2022, 4:34 AM

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yes

timid silo May 29, 2022, 4:35 AM

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👍 ty

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.close

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shrewd stream May 29, 2022, 4:54 AM

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Need help with this logarithm. I'm halfway through, but stuck here.

obtuse pebbleBOT May 29, 2022, 4:54 AM

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shrewd stream Need help with this logarithm. I'm halfway through, but stuck here.

cursive jolt May 29, 2022, 4:57 AM

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shrewd stream Need help with this logarithm. I'm halfway through, but stuck here.

You should pass the 2^4 on the other side first

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Do you know how to use logarithm ?

shrewd stream May 29, 2022, 5:05 AM

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cursive jolt Do you know how to use logarithm ?

So I get 2^(4x) = 10

shrewd stream May 29, 2022, 5:05 AM

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cursive jolt Do you know how to use logarithm ?

I'm supposed to, but I can't figure out how to show the answer like they want me to

haughty echo May 29, 2022, 5:06 AM

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Take log to the base 10 on both sides

cursive jolt May 29, 2022, 5:11 AM

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👆

shrewd stream May 29, 2022, 5:11 AM

#

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Got here

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Ah no. Figured it out

cursive jolt May 29, 2022, 5:12 AM

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Wait shouldn't it be log_2

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Log_2(10)

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All you need to know about logarithm is that :
$\log_a(a^x) = x$ for any positive number a

warm shaleBOT May 29, 2022, 5:14 AM

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Twenty

cursive jolt May 29, 2022, 5:15 AM

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Well actually $log_a(x)=1/\log_x(a)$ so the result of your exercise is indeed correct

warm shaleBOT May 29, 2022, 5:15 AM

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Twenty

shrewd stream May 29, 2022, 5:16 AM

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cursive jolt Wait shouldn't it be log_2

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Ah

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Thanks @cursive jolt

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Thanks @fallow glen

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!close

haughty echo May 29, 2022, 5:17 AM

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shrewd stream Thanks <@838384200461320222>

._.

shrewd stream May 29, 2022, 5:17 AM

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.close

obtuse pebbleBOT May 29, 2022, 5:17 AM

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pallid grail May 29, 2022, 5:19 AM

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Hi

obtuse pebbleBOT May 29, 2022, 5:19 AM

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pallid grail Hi

pallid grail May 29, 2022, 5:19 AM

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I really need help with math

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im stuck on a question

scarlet locust May 29, 2022, 5:23 AM

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pallid grail im stuck on a question

send it

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and close this channel or the other one you opened

warped agate May 29, 2022, 5:29 AM

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@pallid grail #❓how-to-get-help

pallid grail May 29, 2022, 5:30 AM

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ok one sec

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The selling price of snowboards fluctuates bwtween a maximum of $150 and a minimum of $100 over a year. If the peak selling month is January (t=0) and the slowest time is in July (t=0).
a) determine an equation in the form y=acosk(x-p)+q
b) Determine when the selling price is $125 (there will bw 2 months).

#

.close

obtuse pebbleBOT May 29, 2022, 5:38 AM

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Channel closed

Closed by @pallid grail

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torpid scroll May 29, 2022, 5:40 AM

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how would i go about this question?

obtuse pebbleBOT May 29, 2022, 5:40 AM

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torpid scroll how would i go about this question?

civic zealot May 29, 2022, 5:41 AM

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If Sn is the sum of the first n terms, how might you find the first term?

torpid scroll May 29, 2022, 5:42 AM

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first n terms im confused on how this one worded so first n terms meaning a1

civic zealot May 29, 2022, 5:43 AM

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so Sn = a1+a2+a3+...+an

torpid scroll May 29, 2022, 5:43 AM

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yes

civic zealot May 29, 2022, 5:43 AM

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the first term is a1

torpid scroll May 29, 2022, 5:44 AM

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ok

civic zealot May 29, 2022, 5:44 AM

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civic zealot so Sn = a1+a2+a3+...+an

can you pick a value for n that will give you a1?

torpid scroll May 29, 2022, 5:44 AM

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1 right?

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oh

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sooo

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I kinda get it now

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im just weak at word problems and trying to formulate how it is so techinically it was asking for N the number of terms such as 1st 2nd 3rd

civic zealot May 29, 2022, 5:49 AM

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it was asking for the first term.
If Sn is the sum of the first n terms, then picking n=1, you have S1 = a1

torpid scroll May 29, 2022, 5:50 AM

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wait im still getting something wrong here

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I plug in 2 since that is the second term?

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it gives me 26

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but 10 - 26 isnt the difference 6 ?

royal basin May 29, 2022, 5:52 AM

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$S_n$ is the sum of the first $n$ terms, so $S_1 = a_1$ and $S_2 = a_1 + a_2$

warm shaleBOT May 29, 2022, 5:52 AM

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Ann

royal basin May 29, 2022, 5:52 AM

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so $10 - 26 = -a_2$, the second term times $-1$

warm shaleBOT May 29, 2022, 5:52 AM

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Ann

royal basin May 29, 2022, 5:52 AM

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@torpid scroll

torpid scroll May 29, 2022, 5:54 AM

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ohh so i missed a step id have to get s_2 first

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then that is a2

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then subtract getting the difference 6?

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am i right?

royal basin May 29, 2022, 5:54 AM

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yes, the common difference is $a_2 - a_1$

warm shaleBOT May 29, 2022, 5:54 AM

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Ann

torpid scroll May 29, 2022, 5:56 AM

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royal basin yes, the common difference is $a_2 - a_1$

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i wa given this

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i didnt realize it was the one i was gonig to use

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so basically the 2nd term a2 = a +d

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but i didnt have d

civic zealot May 29, 2022, 5:58 AM

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torpid scroll

which means S2 = a+(a+d) = 2a+d
And you just found a, right?

torpid scroll May 29, 2022, 5:58 AM

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yes

civic zealot May 29, 2022, 5:58 AM

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you have S2 from the given funciton. So solve for d

brazen warren May 29, 2022, 5:59 AM

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wow

dawn meteor May 29, 2022, 5:59 AM

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bruh

brazen warren May 29, 2022, 5:59 AM

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no

torpid scroll May 29, 2022, 5:59 AM

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lmao

dawn meteor May 29, 2022, 5:59 AM

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go to #help-0 @analog sable

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these are all occupied by someone else

torpid scroll May 29, 2022, 6:00 AM

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wrong help sectioin haha

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alright i understand it now just give a little time for me to take some notes so idont forget Thanks a lot guys

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.close

obtuse pebbleBOT May 29, 2022, 6:26 AM

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Channel closed

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shadow lava May 29, 2022, 6:29 AM

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obtuse pebbleBOT May 29, 2022, 6:29 AM

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shadow lava

shadow lava May 29, 2022, 6:29 AM

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I can’t figure out how the solution is 1/x^5

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I must have mis calculated on the first attempt, but can anybody help me to understand where I went wrong with the 2nd and 3rd attempts?

dawn meteor May 29, 2022, 6:30 AM

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in attempt 1, this step is wrong

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the second bracket is entirely incorrect; try that part again

shadow lava May 29, 2022, 6:30 AM

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Yeah i suppose this is to do with 2nd and 3rd attempts as I got the same answers

dawn meteor May 29, 2022, 6:31 AM

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you keep flipping the 1/y for some reason

shadow lava May 29, 2022, 6:31 AM

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dawn meteor

Looks like I forgot to use x² on first attempt

dawn meteor May 29, 2022, 6:31 AM

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$$\frac{\frac{1}{x^2}}{y} = \frac{1}{x^2} \cdot \frac{1}{y}$$

warm shaleBOT May 29, 2022, 6:32 AM

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FlynnXD

dawn meteor May 29, 2022, 6:32 AM

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shadow lava Looks like I forgot to use x² on first attempt

thats only one error; the other is that you flipped the 1/y randomly

shadow lava May 29, 2022, 6:33 AM

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dawn meteor thats only one error; the other is that you flipped the 1/y randomly

Are you referring to 1, 2 or 3?

dawn meteor May 29, 2022, 6:33 AM

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dawn meteor

here

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but you've made the same mistake in all three

shadow lava May 29, 2022, 6:33 AM

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Oh yeah

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You are right

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Thanks

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I will try this one more time

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Thank you!

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I got the correct answer on the 4th attempt

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Looks like I forgot to flip y/1 when dividing fractions

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Is this stuff useful for graphing?

dawn meteor May 29, 2022, 6:39 AM

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shadow lava Looks like I forgot to flip y/1 when dividing fractions

nice

shadow lava May 29, 2022, 6:39 AM

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Just curious, I believe that this is why I am learning it but just making sure…

dawn meteor May 29, 2022, 6:39 AM

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shadow lava Is this stuff useful for graphing?

knowing to do this arithmetic gymnastics is useful to simplify complicated expressions you may encounter while solving things

shadow lava May 29, 2022, 6:39 AM

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OK

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I may be brute forcing it the long way but I don’t mind as long as I get to the same answer

dawn meteor May 29, 2022, 6:40 AM

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you can use some 'tricks' to get there quicker

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for example

shadow lava May 29, 2022, 6:40 AM

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Swapping num with den

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With negative exponents

dawn meteor May 29, 2022, 6:40 AM

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right^

shadow lava May 29, 2022, 6:40 AM

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I believe would speed things up

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But I am still new and like to know why that is done rather than just following orders

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Hopefully I can re-learn my ways to use shortcuts

dawn meteor May 29, 2022, 6:41 AM

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you can prove it once, and use it for your calculations thereafter

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because the point of 'shortcuts' is to not have to prove the same identity over and over everytime you want to solve something

shadow lava May 29, 2022, 6:41 AM

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Yeah, kinda like dividing fractions

dawn meteor May 29, 2022, 6:42 AM

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right

shadow lava May 29, 2022, 6:42 AM

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Thanks for the help!

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.close

obtuse pebbleBOT May 29, 2022, 6:42 AM

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Channel closed

Closed by @shadow lava

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obtuse pebbleBOT May 29, 2022, 7:31 AM

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obtuse pebbleBOT May 29, 2022, 8:55 AM

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jolly knoll May 29, 2022, 9:08 AM

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In Q1 direction cosines have been used as direction ratios. I don't understand why

obtuse pebbleBOT May 29, 2022, 9:08 AM

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jolly knoll In Q1 direction cosines have been used as direction ratios. I don't understand w...

warm shaleBOT May 29, 2022, 9:15 AM

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jolly knoll May 29, 2022, 9:15 AM

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u get me?

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<@&286206848099549185>

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...

limber quartz May 29, 2022, 9:24 AM

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Wouldn't the direction cosines be the coordinates of the direction vector?

jolly knoll May 29, 2022, 9:25 AM

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i thought those were direction ratios

limber quartz May 29, 2022, 9:25 AM

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And couldn't you show that they are mutually perpendicular by taking the cross product?

jolly knoll May 29, 2022, 9:25 AM

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yea i get the cross product part

limber quartz May 29, 2022, 9:25 AM

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I think its the same

jolly knoll May 29, 2022, 9:26 AM

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ratios and cosines are same

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?

limber quartz May 29, 2022, 9:26 AM

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cosines are ratios but not all ratios are cosines

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the cosines of the angles that the vectors make with the coordinate axes will be the coordinates of the unit vector pointing in the same direction.

jolly knoll May 29, 2022, 9:26 AM

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ok...

limber quartz May 29, 2022, 9:26 AM

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The book already says they are mutually perpendicular

jolly knoll May 29, 2022, 9:27 AM

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yea

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direction cosines can be used as cordinates?

limber quartz May 29, 2022, 9:27 AM

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So we should be able to see that each of the 3 pairs have ~~cross products~~ of...zero? (Checking) dot products. duh.

jolly knoll May 29, 2022, 9:27 AM

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i know that they can be used for unit vectors

jolly knoll May 29, 2022, 9:27 AM

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limber quartz So we should be able to see that each of the 3 pairs have ~~cross products~~ of....

yes

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direction cosines can be used as cordinates?

limber quartz May 29, 2022, 9:29 AM

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jolly knoll yes

yes

jolly knoll May 29, 2022, 9:30 AM

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my question is can direction cosines can be used as cordinates?

limber quartz May 29, 2022, 9:30 AM

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they are coordinates for the unit vector in the same direction so I think we can just use this for the purpose of proving all 3 lines are mutually orthogonal

limber quartz May 29, 2022, 9:30 AM

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jolly knoll my question is can direction cosines can be used as cordinates?

I think so. I would draw a picture

jolly knoll May 29, 2022, 9:31 AM

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limber quartz they are coordinates for the unit vector in the same direction so I think we can...

no cross product of orthogonal gives 0

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that part is ez

limber quartz May 29, 2022, 9:31 AM

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Oh, you have to mult by the magnitude tho

jolly knoll May 29, 2022, 9:31 AM

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yes

jolly knoll May 29, 2022, 9:31 AM

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limber quartz I think so. I would draw a picture

ok thanks manm

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thats all

limber quartz May 29, 2022, 9:31 AM

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Ok

jolly knoll May 29, 2022, 9:33 AM

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.close

obtuse pebbleBOT May 29, 2022, 9:33 AM

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Channel closed

Closed by @jolly knoll

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Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

eager star May 29, 2022, 10:53 AM

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i need help

obtuse pebbleBOT May 29, 2022, 10:53 AM

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eager star i need help

eager star May 29, 2022, 10:53 AM

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question 2d

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<@&286206848099549185>

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i dont know how to convert into radians

hexed agate May 29, 2022, 10:58 AM

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do you know the trig unit circle?

high lily May 29, 2022, 10:58 AM

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180° = pi (radians)

eager star May 29, 2022, 10:58 AM

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yes

high lily May 29, 2022, 10:58 AM

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180°/pi = pi/180° = 1
multiply by 1 depending on what you want to convert to and from

eager star May 29, 2022, 10:59 AM

#

but i dont know how to convert it into negative if you know what i mean

#

like x=90

#

i know that 90 = pi/2

#

but i need to find that in negative form aswell

high lily May 29, 2022, 11:00 AM

#

if you were asked to find solutions for 0<=x <=360° or 0<=x<=2pi,
would you be able to do it?

eager star May 29, 2022, 11:00 AM

#

of course

high lily May 29, 2022, 11:00 AM

#

in that case, what would be your other solution?

eager star May 29, 2022, 11:00 AM

#

3π/2

high lily May 29, 2022, 11:01 AM

#

the cos function is 2pi periodic, so you can add/subtract integer multiples of 2pi to find solutions in the specified interval

#

(or consider the unit circle, what clockwise rotation gets you to the same position as a 3pi/2 anti-clockwise rotation(

eager star May 29, 2022, 11:03 AM

#

obviously it cant be -3π/2 right?

#

but could it be -π/2

high lily May 29, 2022, 11:03 AM

#

yes.

#

cos(-pi/2) is 0 and -pi/2 is between -pi and pi

eager star May 29, 2022, 11:03 AM

#

eager star but could it be -π/2

so that and its π/2 is the answer

high lily May 29, 2022, 11:04 AM

#

you could also consider that cos is an even function

eager star May 29, 2022, 11:04 AM

#

how does that help the case?

high lily May 29, 2022, 11:05 AM

#

cos(a) = cos(-a)

eager star May 29, 2022, 11:05 AM

#

right

#

that doesnt change the answer of -π/2 and π/2

#

correct me if im wrong

high lily May 29, 2022, 11:08 AM

#

-pi/2,pi/2 are solutions to the equation

#

the comment about cos being an even function was to address that if you knew that
cos(pi/2) = 0
you'd be able to deduce that cos(-pi/2) = 0

eager star May 29, 2022, 11:10 AM

#

right

eager star May 29, 2022, 11:11 AM

#

eager star

would this be the same for sin?

#

in question 2f?

high lily May 29, 2022, 11:12 AM

#

if you can solve for [0, 2pi]
you can apply the appropriate period shift to find the solutions for [-pi, pi]

#

(or otherwise)

obtuse pebbleBOT May 29, 2022, 11:26 AM

#

@eager star Has your question been resolved?

obtuse pebbleBOT May 29, 2022, 11:41 AM

#

Channel closed

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hidden bronze May 29, 2022, 11:45 AM

#

obtuse pebbleBOT May 29, 2022, 11:45 AM

#

hidden bronze

hidden bronze May 29, 2022, 11:45 AM

#

lol anyone wanna give this a try

#

i cant do it

#

this is so sad

#

somene help

#

<@&286206848099549185>

obtuse pebbleBOT May 29, 2022, 12:00 PM

#

@hidden bronze Has your question been resolved?

hexed agate May 29, 2022, 12:02 PM

#

this seems to be a projectile motion problem. Have you tried sketching for visualization?

opaque hedge May 29, 2022, 12:03 PM

#

do you have a final answer for this ?

#

just to check if i did it right

#

my answer is
13' 8'' 2.48'''

hidden bronze May 29, 2022, 12:06 PM

#

hmm

#

i got 89' and 1'

#

but

#

the final answer is 89' and 8'

#

@opaque hedge\

hidden bronze May 29, 2022, 12:07 PM

#

opaque hedge my answer is 13' 8'' 2.48'''

there should be 2 answers since ur using quadratic formula

#

@hexed agatedo u know how to do it

hexed agate May 29, 2022, 12:10 PM

#

nah

opaque hedge May 29, 2022, 12:10 PM

#

hidden bronze the final answer is 89' and 8'

89 degree and 8 minutes????

#

really?

hidden bronze May 29, 2022, 12:15 PM

#

no

#

there r two answers

#

@opaque hedge

#

i got the 89 degrees

#

but not the 8 defrees

#

very weird :/

opaque hedge May 29, 2022, 12:18 PM

#

oh i get it

hexed agate May 29, 2022, 12:26 PM

#

lemme give this a try

opaque hedge May 29, 2022, 12:37 PM

#

@hidden bronze
can you show me how do you get 89??

obtuse pebbleBOT May 29, 2022, 12:47 PM

#

@hidden bronze Has your question been resolved?

hexed agate May 29, 2022, 12:52 PM

#

i got the correct answers

#

@hidden bronze @opaque hedge

opaque hedge May 29, 2022, 12:53 PM

#

show us then!

hexed agate May 29, 2022, 12:54 PM

#

velocity in the x direction is constant

opaque hedge May 29, 2022, 12:55 PM

#

good

hexed agate May 29, 2022, 12:55 PM

#

so, s=Vox * t

opaque hedge May 29, 2022, 12:55 PM

#

okay

hexed agate May 29, 2022, 12:55 PM

#

s being the horizontal distance

opaque hedge May 29, 2022, 12:55 PM

#

18m

hexed agate May 29, 2022, 12:56 PM

#

18 = 60 cos theta * t

#

so t is 18 / (cos theta)

opaque hedge May 29, 2022, 12:56 PM

#

okay

hexed agate May 29, 2022, 12:56 PM

#

t in the y direction is also the same

#

but the velocity is changing

opaque hedge May 29, 2022, 12:57 PM

#

ok

hexed agate May 29, 2022, 12:57 PM

#

s = Voyt + 1/2 gt^2 right?

#

s being the vertical distance here

opaque hedge May 29, 2022, 12:57 PM

#

thats right

#

2.1m

hexed agate May 29, 2022, 12:58 PM

#

sub in t here

#

so

#

2.1 = 60 sin theta * 18/ 60 cos theta + (-9.8/2 * 18^2 / (60^2 * cos^2 theta))

#

its messy but you get the point

#

more simplification leads to

#

2.1 = 18 tan theta - 0.441 sec^2 theta

#

now trig identities sec^2 theta = 1 + tan^2 theta

#

more simplification leads to

#

0.441 tan^2 theta - 18 tan theta + 2.541 = 0

#

now solve this quadratic equation

#

theta is 1.54621 or 0.14072

#

now convert these radians to degrees

#

88.6 degrees or 8 degrees

opaque hedge May 29, 2022, 1:05 PM

#

i am impressed

#

good job

hexed agate May 29, 2022, 1:05 PM

#

i spent a lot of time

opaque hedge May 29, 2022, 1:05 PM

#

👏

#

but i still dont get why my answer is wrong

#

i assumed that the final velocity in the y direction is 0.
isn't that right??

hexed agate May 29, 2022, 1:06 PM

#

yes?

opaque hedge May 29, 2022, 1:07 PM

#

sooooooooo

hexed agate May 29, 2022, 1:07 PM

#

on wait

opaque hedge May 29, 2022, 1:07 PM

#

what?

#

0 right?

#

the problem said to just cross the wall

hexed agate May 29, 2022, 1:08 PM

#

Vy is zero only at the maximum point in the air

#

after that its increasingly negative

opaque hedge May 29, 2022, 1:08 PM

#

i understand

hexed agate May 29, 2022, 1:09 PM

#

opaque hedge May 29, 2022, 1:09 PM

#

but i can take just the time form the hit to the wall

#

then the Vy = 0

#

like the drawing

#

who said it has to cross the wall by the end of the projectile motion

#

imagine the walls highest point at the point of Vy in this drawing

hexed agate May 29, 2022, 1:14 PM

#

well yeah we dont know the velocity when it crosses the wall

opaque hedge May 29, 2022, 1:14 PM

#

opaque hedge May 29, 2022, 1:14 PM

#

hexed agate well yeah we dont know the velocity when it crosses the wall

We do!!

#

If it was like my drawing

#

Then the wall is the highest point the ball Reach right

#

According to the proplem it didn't get any higher than the wall

obtuse pebbleBOT May 29, 2022, 1:17 PM

#

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

hexed agate May 29, 2022, 1:18 PM

#

.reopen

#

https://www.youtube.com/watch?v=krzC92hZ8pA&ab_channel=MichelvanBiezen

YouTube

Michel van Biezen

Physics 3: Motion in 2-D Projectile Motion (8 of 21) Example 3: Cle...

Visit http://ilectureonline.com for more math and science lectures!

In this video I will show you how to calculate the angle needed for a fired cannon ball with an initial velocity of 40m/sec to clear a 10m wall 100m away.

▶ Play video

obtuse pebbleBOT May 29, 2022, 1:18 PM

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opaque hedge May 29, 2022, 1:31 PM

#

i undestand this solution

obtuse pebbleBOT May 29, 2022, 1:31 PM

#

opaque hedge i undestand this solution

opaque hedge May 29, 2022, 1:32 PM

#

i am just saying what is wrong with mine

brave bramble May 29, 2022, 1:33 PM

#

What was your solution? I don't see any working out

opaque hedge May 29, 2022, 1:35 PM

#

i mean the idea

opaque hedge May 29, 2022, 1:35 PM

#

opaque hedge

assuming this

#

that the wall is the highest point the ball will reach

#

so the Vy = 0

#

it will give an angle in which the ball will just cross the wall

#

i don't see anything wrong with this

brave bramble May 29, 2022, 1:38 PM

#

The ball can still be gaining height over the wall

opaque hedge May 29, 2022, 1:38 PM

#

according to the proplem NO

#

it cant

brave bramble May 29, 2022, 1:39 PM

#

Fair!

opaque hedge May 29, 2022, 1:39 PM

#

just cross : means it will barely cross and then will decrease in height

#

of course the other solution is better

brave bramble May 29, 2022, 1:41 PM

#

I'm not an english teacher haha

opaque hedge May 29, 2022, 1:41 PM

#

because it did deal with the ultimate fact the time would be the same across x and y no matter what

obtuse pebbleBOT May 29, 2022, 1:56 PM

#

@opaque hedge Has your question been resolved?

#

Channel closed

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timid silo May 29, 2022, 2:18 PM

#

Help with the second question please

obtuse pebbleBOT May 29, 2022, 2:18 PM

#

timid silo Help with the second question please

nocturne sun May 29, 2022, 2:19 PM

#

the question is tiny, at least for me

#

I guess still readable?

obtuse pebbleBOT May 29, 2022, 2:33 PM

#

@timid silo Has your question been resolved?

obtuse pebbleBOT May 29, 2022, 2:48 PM

#

Channel closed

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shell pivot May 29, 2022, 2:54 PM

#

Hello.
So I have trouble understanding some geometry related trick I saw in an anime.
https://i.imgur.com/ZZnTjCw.png <- This

The character in question has a trick to calculate how far someone is , by using his hand, arm and estimating their distance.

However, I have trouble understanding how that works exactly. I followed a "tutorial" online and got VERY inaccurate results

Imgur

obtuse pebbleBOT May 29, 2022, 2:54 PM

#

shell pivot Hello. So I have trouble understanding some geometry related trick I saw in an a...

shell pivot May 29, 2022, 2:54 PM

#

#

This was the explanation, which I used and got widly inaccurate results.

astral grove May 29, 2022, 2:54 PM

#

Hi

#

I need help

shell pivot May 29, 2022, 2:54 PM

#

Any help is appreciate.

#

@astral grove go to #❓how-to-get-help

#

This channel is kinda. . . occupied?

astral grove May 29, 2022, 2:55 PM

#

Ooh

#

Sorry

shell pivot May 29, 2022, 2:55 PM

#

No problem.

scarlet locust May 29, 2022, 3:03 PM

#

shell pivot Hello. So I have trouble understanding some geometry related trick I saw in an a...

this works on the concept of similar triangles, but i'm not sure how accurate it would be in practical conditions

#

$\frac{x}{y} = \frac{a}{b}$

warm shaleBOT May 29, 2022, 3:06 PM

#

Swas.py

scarlet locust May 29, 2022, 3:08 PM

#

so rearranging for a (distance to object), $\newline \newline$
$a = \frac{xb}{y} = \frac{\text{distance to arm} \times \text{height of object}}{\text{height of hand}}$

warm shaleBOT May 29, 2022, 3:08 PM

#

Swas.py

shell pivot May 29, 2022, 3:10 PM

#

so taking in the parameters from before. . .(65*180)/9 ?

scarlet locust May 29, 2022, 3:10 PM

#

yes

#

which is 1300 cm or 13m

shell pivot May 29, 2022, 3:10 PM

#

so 65*20= 650+650=1300?

scarlet locust May 29, 2022, 3:10 PM

#

yes

shell pivot May 29, 2022, 3:10 PM

#

Okay, thanks a lot

#

but before I close

#

I want to try it in real life

#

brb

scarlet locust May 29, 2022, 3:10 PM

#

good luck lmao

#

its inaccurate tho, you'll need to be about the same height as the object

#

otherwise there'll be a lot of error

shell pivot May 29, 2022, 3:12 PM

#

oh

#

OOHHH

#

That is why I am getting insanely inaccurate results with household appliances

scarlet locust May 29, 2022, 3:13 PM

#

this may be better https://youtu.be/C5X1J76InoQ

YouTube

Exploratorium Teacher Institute

Measure the height of a building or tree indirectly | Handy Measuri...

Many of the numbers we use in science have never been measured directly; we only know them from indirect measurements. How far is it to the sun? What is the diameter of Saturn’s rings? Here’s a way to use nonstandard measurements and simple ratios for estimating sizes or distances.

Full instructions for this activity are available at: http://w...

▶ Play video

shell pivot May 29, 2022, 3:13 PM

#

Oh gosh

#

I was just about to say how I have to go hunting for a better method

#

Thanks, amigo.

#

Cleared it up for me

#

.close

obtuse pebbleBOT May 29, 2022, 3:14 PM

#

Channel closed

Closed by @shell pivot

Use .reopen if this was a mistake.

shell pivot May 29, 2022, 3:14 PM

#

❤️

obtuse pebbleBOT May 29, 2022, 3:15 PM

#

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proper jolt May 29, 2022, 3:16 PM

#

How do I write the rule for the nth term of the sequence?

obtuse pebbleBOT May 29, 2022, 3:16 PM

#

proper jolt How do I write the rule for the nth term of the sequence?

proper jolt May 29, 2022, 3:27 PM

#

<@&286206848099549185>

#

Anyone there?

#

.close

obtuse pebbleBOT May 29, 2022, 3:43 PM

#

Channel closed

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timid silo May 29, 2022, 3:50 PM

#

Is this how u subtract complex numbers

obtuse pebbleBOT May 29, 2022, 3:50 PM

#

timid silo Is this how u subtract complex numbers

sage geode May 29, 2022, 3:57 PM

#

Just treat them like usual numbers, subtract real parts and then subtract imaginary parts

#

(a + bi) - (x + yi) = a - x + (b - y)i

teal prawn May 29, 2022, 3:59 PM

#

yeah

high lily May 29, 2022, 4:00 PM

#

issues with your signs

sage geode May 29, 2022, 4:00 PM

#

If we ignore the missing + symbol on the second line, everything is fine

#

Yeah

high lily May 29, 2022, 4:01 PM

#

not just that

#

there are other issues with signs

sage geode May 29, 2022, 4:01 PM

#

Oh I see

obtuse pebbleBOT May 29, 2022, 4:06 PM

#

@timid silo Has your question been resolved?

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whole spruce May 29, 2022, 4:26 PM

#

obtuse pebbleBOT May 29, 2022, 4:26 PM

#

whole spruce

whole spruce May 29, 2022, 4:27 PM

#

Focus on 11

vagrant wagon May 29, 2022, 4:28 PM

#

can you translate?

keen cave May 29, 2022, 4:30 PM

#

Notice we must have g(f(x)) = (f(x))^2 - 7 = 4x^2 + 16x + 9. So f(x) must have a constant that when added with -7 gets us 9 so the constant is what?

dense imp May 29, 2022, 4:30 PM

#

probably: Given g(x) = ... and g o f(x) = ..., find f(x)

vagrant wagon May 29, 2022, 4:30 PM

#

right

keen cave May 29, 2022, 4:30 PM

#

keen cave Notice we must have g(f(x)) = (f(x))^2 - 7 = 4x^2 + 16x + 9. So f(x) must have a...

This lets us eliminate 3 options.

#

after that you have to focus on 4x^2 + 16x + 9.

#

Namely all the coefficient are positive.

obtuse pebbleBOT May 29, 2022, 4:42 PM

#

@whole spruce Has your question been resolved?

whole spruce May 29, 2022, 4:44 PM

#

The text can be ignored

obtuse pebbleBOT May 29, 2022, 5:14 PM

#

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rough parrot May 29, 2022, 5:25 PM

#

How many possibilities to set on 12 chair , 6 boys and 4 girls

obtuse pebbleBOT May 29, 2022, 5:25 PM

#

rough parrot How many possibilities to set on 12 chair , 6 boys and 4 girls

rough parrot May 29, 2022, 5:26 PM

#

Without any restrictions

#

#

Thats my answer

nocturne sun May 29, 2022, 5:28 PM

#

does being a girl or a boy even matter?

#

each chair has a single person

#

you have 10 people

#

so I thought 12 choose 10

rough parrot May 29, 2022, 5:29 PM

#

Oh

nocturne sun May 29, 2022, 5:29 PM

#

I might be wrong though

rough parrot May 29, 2022, 5:29 PM

#

no they said no restrictions

nocturne sun May 29, 2022, 5:29 PM

#

is that the entire question?

rough parrot May 29, 2022, 5:29 PM

#

no

#

They ask they if dani and anna set together

#

And the same question ofc

#

#

Thats my answer

#

Like if we have 6 boys and 4 girls

#

So there is two from them want set together, lets combine it together like a one person

#

And so we have 9

#

And since they can swap their places we multiply by 2!

#

What you think

#

@nocturne sun 🙂

nocturne sun May 29, 2022, 5:38 PM

#

I think it's 10 choose 9 because you also take 2 chairs and give them to dani and anna

#

but I'm not sureeee

obtuse pebbleBOT May 29, 2022, 5:49 PM

#

@rough parrot Has your question been resolved?

rough parrot May 29, 2022, 6:12 PM

#

.close

obtuse pebbleBOT May 29, 2022, 6:12 PM

#

Channel closed

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timid silo May 29, 2022, 6:14 PM

#

obtuse pebbleBOT May 29, 2022, 6:14 PM

#

timid silo

timid silo May 29, 2022, 6:14 PM

#

Should i use integration by parts to solve this?

#

Omdss i got the answer

sage iron May 29, 2022, 6:21 PM

#

yes

#

why not

timid silo May 29, 2022, 6:22 PM

#

What about this one

#

The sqrt one

light berry May 29, 2022, 6:34 PM

#

you just do normal integration for that one

obtuse pebbleBOT May 29, 2022, 6:39 PM

#

@timid silo Has your question been resolved?

timid silo May 29, 2022, 6:50 PM

#

.close

obtuse pebbleBOT May 29, 2022, 6:50 PM

#

Channel closed

Closed by @fathom gate

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white flame May 29, 2022, 6:52 PM

#

obtuse pebbleBOT May 29, 2022, 6:52 PM

#

white flame

white flame May 29, 2022, 6:52 PM

#

Pls i need help with this question