help-0

[proper hare]

Yes I know it’s pre calc

[alpine sable]

I have so many good resonance

But they are all in hindi

[dense mirage]

Is that Spanish

Sin tan con

[alpine sable]

I can provide u with books

yk there are pdfs of books freely available online

[proper hare]

Alright than what’s wrong with my left side of the problem

[alpine sable]

lololol

[dense mirage]

Hola amigo

[proper hare]

See the 3 boxes, how are they not right

[dense mirage]

Uno dos tres

[alpine sable]

3B1B is also very good

If u want to do MCQ type practice, then I have a lot of good resources for calculus

[dense mirage]

Thanks man

Mind sending me a dictionary

[alpine sable]

Wut

[dense mirage]

Is that the urban dictionary wavelengths of Jewish syndrome

Of the speed of sped

[alpine sable]

http://libgen.is/book/index.php?md5=0C01DAC33B291C507414AC4F24820F13

Check out this book

Libgen

😎

There is a concise theory and a lot of questions

[dense mirage]

DOES IT MENTION EINSTEIN

[alpine sable]

Brug

Yeah now go and study calculus

how do I do this?

[alpine sable]

Is this from a test?

[harsh acorn]

how can I find the answer more effecient way?

[alpine sable]

its a practice test

[muted raft]

draw a triangle

[alpine sable]

Graded?

nah

big ideas

[alpine sable]

Take LCM probably

[karmic crypt]

Draw out the triangle

[harsh acorn]

I tried it but i was really messy

and did not help me at all

question must be solved without calc.

[karmic crypt]

And since you have 2 sides you can use Pythagorean theorem for the 3rd side

[muted raft]

Notice how they are multiples of 6

[harsh acorn]

so (1/6)(1+1/4 + 1/10 + 1/20 + 1/35 + 1/56) is still messy

[karmic crypt]

Factor out a 6

[muted raft]

4, 10, 20, 35, 56 are numbers of tetrahedral

or also known as triangular pyramid

[harsh acorn]

how it will help me can u explain me please

i am confused

[muted raft]

There is a formula for it

[harsh acorn]

@muted raft are u talking about this formula?

[muted raft]

yeah

[balmy sigil]

You can make a similar triangle and the sides would be lets say 6k 5k and by pythagorian theorem you can calculate the hypotenuse which would be sqrt(61)k I think. And by the definition of cosine, cos= 6k/ksqrt(61). Divide by k and you get cos(phi)=6/sqrt(61)

You can also rationalise it so you get 6*sqrt(61)/61

[karmic crypt]

Wouldn’t it be 5/root 61?

Also what’s the point of k in that?

[balmy sigil]

Right

[harsh acorn]

@muted raft is the answer 6/35? can u check please

i used the formula but my numbers was not integers

they was like (1/x)

[balmy sigil]

Terminologically speaking the triangle isn't defined so it can be any triangle with same rations. You can also write 6 and 5 but have to declare somewhere that the triangles were similar

[karmic crypt]

Oh yeah ig it doesn’t mean the sides are 6 and 5 it’s just the fraction in lowest terms

Makes sense

[muted raft]

no

ah shit do i need to write this all out?

ping me if you want me to @harsh acorn

[alpine sable]

is there a way to factor a quatic?

[karmic crypt]

Factor theorem?

[muted raft]

Did you mean quartic polynomial?

[alpine sable]

yea

still high school, my teacher is too stupid to know how to

[muted raft]

It is gonna depend on polynomial.

Then its just like fraser said, factor theorem, remainder theorem, whatever it is called.

[karmic crypt]

What’s the polynomial

[alpine sable]

hold up

P(x) = x^4 - 6x^3 - 19x^2 + 84x + 180

[karmic crypt]

Is there any number that you can sub into x to get 0?

[alpine sable]

U need to factor , so check the numbers that are factors of 180

is the method trial and error?

Yep

u start with the smallest values

like + and - 1

then + and -2

fortunately, -2 works

[muted raft]

You look at the factors of leading coefficient and the constant term

And then you check to see if any one of those factors are the polynomial's roots.

After that you can apply long division

or whatever other method works as well.

[alpine sable]

oh

yep if the leading coefficient is not one, then u take x to be factor of constant term / factor of leadin term

By hit and trial

ur roots turn out to be -2,-3,+5, and +6

[alpine sable]

this is a better approach

[muted raft]

Is it though?

lol

[alpine sable]

Thats exatly

what we all were saying

,-,

[muted raft]

That is literally what 7 Flowers wrote tho lol

[alpine sable]

Thats where u say presentation matters

[muted raft]

This is true.

[karmic crypt]

Once you find an integer that makes the function =0 let’s call it y then (x-y) is a factor

[alpine sable]

true. but the way u put it made more sense i guess

sigh

[muted raft]

I am simply amazing.

[alpine sable]

hey simply amazing

[zenith dust]

hello, may i ask a question here ??

let's assume i'm rolling a dice, so the probability of getting 1 is 1/6 and getting anything other than 1 is 5/6... so after 1000 trail, what will be the probability of getting 1 ? will it follow binomial distribution, just like = 1000Ck*(1/6)^k*(5/6)^(1000-k)

1000Ck * (1/6)^k * (5/6)^(1000-k) is it so ??

[alpine sable]

Tha probability will always stay the same no matter what

The*

[digital rivet]

Anybody knows the answer

[alpine sable]

Nope sry ):

[zenith dust]

but i read - A coin is tossed 10 times. What is the probability that exactly 6 heads will occur.
.
will give me : P(x=6) = 10C6 * 0.5^6 * 0.5^4 = 210 * 0.015625 * 0.0625 = 0.205078125

source : https://people.richland.edu/james/lecture/m113/binomial.html

[alpine sable]

From what I know the probabilities of the dice cannot change, I might be wrong but that's what I know

Say you flip a coin:
The chances are 50/50 even if you get 5 heads in a row, the chances are still 50/50

[surreal basalt]

this is from the Poisson distribution wiki page. I'm assuming V(X) means Var(X).

[alpine sable]

It's is a matter of luck, not chances

And I am pretty confident you can't measure luck

[zenith dust]

if i roll a dice for 10 times then, what is the count that i'll get 1

@alpine sable

[alpine sable]

It's is 1/10 but it will stay the same

No matter what

[zenith dust]

probability of getting 1 was 1/6, after 10 trail, how it became 1/10 ??

[digital rivet]

What's the final answer then?

[alpine sable]

Sry I got confused with a D10

[little frigate]

PLEASE HELP ME
Marie has 25 cards.
Each card has a differnt symbol on it.
Marie gives one card to Shelley and One card to Pauline.
In how many ways can Marie do this?

[zenith dust]

so answer is still 1/6

??

[alpine sable]

Yes

[alpine sable]

That is simple but I just woke up, and I can't do it lol

[surreal basalt]

The probability of the next die roll being 1 is always 1/6 since rolls are independent from eachother - previous die rolls have no impact on future rolls. What you saw was how to find the probability of getting a 1 exactly 6 times out of 10.

[alpine sable]

Thank you

[little frigate]

I don't know how to do it ☹

[alpine sable]

I'm pretty sure the solution is 25*25 but I'm not sure

[zenith dust]

thanks a lot @alpine sable , @surreal basalt

[alpine sable]

Cuz for each card on 1 person, there are 25 combinations

No

[little frigate]

What the heck. I never learned this

[alpine sable]

There are 24 combs

My brain hurts

[little frigate]

I guess it's better than no answer

[alpine sable]

Tru

[little frigate]

Thanks anyways

[surreal basalt]

oh yeah no I'm wrong, it should be 25*24. you can choose any of the 25 cards to give to shelley, then after you have chosen that one you have 24 left to choose from to give to pauline

[little frigate]

Oooo.

So it would be 24 × 25

[alpine sable]

Bc all the cards are different this can happen
Person 1: A card
Person 2: B card

Person 1: B card
Person 2: A crd

[little frigate]

So it is 24x25.

[alpine sable]

Yes

[little frigate]

Ok thanks man

[surreal basalt]

yeah, what I posted before was for if you didnt care which person got which card (of the two you would have chosen, definitely has a more complicated formula)

[zenith dust]

ok, one more thing based on the following question, what will be the number of occurrence after n trails ??

@alpine sable @surreal basalt ??

[alpine sable]

sry i was doing something else

wdym number of occurence?

[zenith dust]

how many times do i get 1

??

[alpine sable]

you cant predict that

[zenith dust]

after n-trails

[alpine sable]

the dice is luck based

unless u can predict the future

[zenith dust]

where did the math go, brother ??

[alpine sable]

there is no math needed here

bc u simply cannot predict the future

[surreal basalt]

are you asking for the expected value after n trials?

or the probability of getting something a certain number of times after n trials?

[zenith dust]

expected value of getting 1 after n trail

[zenith dust]

roll a dice 10 times, how many times do we roll on 3 ??

[surreal basalt]

well the chance of rolling a 3 is p = 1/6 for one roll, and you have n = 10 trials. You should be able to use the above formula for the expected number of 'successes' (times a 3 is rolled out of those 10 rolls)

[zenith dust]

this one ??

[surreal basalt]

yes

[zenith dust]

5/3, just like unitary method :3

[alpine sable]

what is the equation for this?

[agile atlas]

Hey anyone good with probability. (Bayes Theorom and Base Rate Fallacy)

Sensitivity = P(flag transaction as fraud l fraud = TRUE) = 0.985
Specificity = P(flag transaction as legitimate l fraud = FALSE)= 0.981

P(fraud) = 1/2500

Calculate the overall probability that the software will detect a transaction as FRAUD, to four decimal
places.

What equation do I use to work this out.

[graceful bloom]

Im not good at probability,

Only calculation

Calculas

[agile atlas]

Hate probability, that's why I'm doing excercises now to get better at them.

[alpine sable]

Fraud | fraud? What does that mean

[agile atlas]

Transaction flagged as fraud (given) that fraud is true

[alpine sable]

Oh conditional probability ok

[agile atlas]

screenshot if it helps

Yeah bro, its Bayes Theoreom

[alpine sable]

i dont know where im supposed to start

[agile atlas]

Tag me if anyone can help me with my question, thank you. I'll continue working on it.

[noble sinew]

1/2500 * 0.985+2499/2500 * (1-0.981)

[alpine sable]

The values are weird

Is this the situation

[noble sinew]

It is

[alpine sable]

So shouldn't the sum of all final four situation probability turn out to be 1

[noble sinew]

It also does

[alpine sable]

But we have two values 0.981 and 0.985

Those are two of the final four outcomes

[noble sinew]

Yes but look at the probability of it happening

Those are conditional probabilities

[noble sinew]

Here is the answer

[alpine sable]

Oh ok

i dont understand this question

[charred flint]

@alpine sable rewrite it so there's only theta in the parentheses

most of the questions have a minus theta, so you have to fix that

[balmy sigil]

Sort of like sin (-theta)= sin (theta+pi)

[alpine sable]

how did u get the pi?

Cos and sec are even functions. You can remove the minus

180 degree is pi radians

oh

so fir the first one

it would be -sin(theta)

right?

Yes

oh ok

ty

wait what happens if there is a degree next to -theta

nvm

i got it

[harsh acorn]

$\sqrt{8a+\sqrt{8a+\sqrt{8a+....}}}-\sqrt{a+\sqrt{a+\sqrt{a+....}}}=0$

asks for a

[ocean seal]

Hyl1s

[alpine sable]

i dont understandi dont understandi dont understandi dont understandi dont understandi dont understandi dont understandi dont understandi dont understandi dont understandi dont understandi dont understand

i dont get uit

i dont know why im wrong again

i followed the formula

[alpine sable]

?

[alpine sable]

yes homework

[harsh acorn]

ah my bad i tought homework help is against the rules

just forgot what i said

lol

[alpine sable]

isnt that literally the enitre point of the help sections

u know what is X+U=25

nope

Why

oh wait is that for your stuff my bad

I think it X must be 15 becuase u sure are a 10

right

omfg

Lmfao

[vernal dragon]

how can i convert from MJ to kWh

[charred flint]

,w 1MJ to kWh

[ocean seal]

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

Requested by Plurmorant#1811

[charred flint]

multiply by that

[vernal dragon]

let say 1 MJ

to get that in kWh i need to multiply

[alpine sable]

1 kwH is 3600*1000 joules

[solar pebble]

what's the Laplace transform of sin(f(t))?

or just gf(t) in general

[alpine sable]

what does the bar mean?

[alpine sable]

I think thats the divides sign

oh ok

thanks

[alpine sable]

I am not sure tho...

[alpine sable]

From a test?

[harsh acorn]

it is not it is 2018 past paper

if u want i can share pdf

[alpine sable]

nah its fine

[dreamy timber]

can i get some help?

[alpine sable]

Well deal with each infinite radical separately @harsh acorn

[harsh acorn]

i tried and in first i get 8a+x=x^2
in second ax=x^2

idk is it correct

$\sqrt{a+\sqrt{a+\sqrt{a+....}}}=x$

$a+\sqrt{a+\sqrt{a+\sqrt{a+\cdots}}}=x^2$

$a+x=x^2$

[ocean seal]

Hyl1s

[alpine sable]

right

[harsh acorn]

same thing to other

[alpine sable]

Yeah its correct

[harsh acorn]

ahh btw i forgot 8

[alpine sable]

In this yeah

I get it

[harsh acorn]

so 8a+x=ax

[alpine sable]

This is right anyways

[harsh acorn]

but how can i find a there

i dont know what is x

[alpine sable]

yup pre sure u r right got the same answer

[alpine sable]

Find x in terms of a

Using quadratic formula

[harsh acorn]

ax-8a-x=0 and find x with quad.?

[noble sinew]

two equations and two unknowns so you can solve that - other way is just observing that it can only really be 12 or 9 since the other answers are too low. Then would start with 9 (because sqrt(9) is a nice number) and just write out the first 3 a's from both and you get that 9 is the correct answer

[alpine sable]

We know that $x^2 - x - 8a = 0$, hence, $x = \frac{1 \pm \sqrt{1+32a}}{2}$

[ocean seal]

omeganebula

[alpine sable]

We ignore the negative solution as the radicals dont return negatives over the reals

[harsh acorn]

after finding x i replace it with 1+root of 1+32...

like that?

[alpine sable]

so many smart bois

$x = \frac{1 + \sqrt{1+32a}}{2}$

[ocean seal]

omeganebula

[alpine sable]

So the first term is equal to the RHS

[harsh acorn]

what is the opening of RHS

english is not my native

[alpine sable]

oh

[alpine sable]

Well you understood this right?

[harsh acorn]

yep

[alpine sable]

And why we’ll take only the positive solution

[harsh acorn]

yep

[alpine sable]

So....

Remember how we had defined x?

[harsh acorn]

yep

[alpine sable]

$\sqrt{8a+\sqrt{8a+\sqrt{8a+ \dots}}} = x = \frac{1+\sqrt{32a+1}}{2}$

[ocean seal]

omeganebula

[harsh acorn]

oooooh

i tried to replace x in 8a+x=x^2 lol

my bad

[alpine sable]

that would just return 0 😅

Anyhow

Now onto the second equation

Let $\sqrt{a\sqrt{a\sqrt{a \cdots}}} = y$

[ocean seal]

omeganebula

[alpine sable]

so $ay = y^2$

[harsh acorn]

x = y

[ocean seal]

omeganebula

[alpine sable]

nononono

[harsh acorn]

why tho

when we subtract shouldnt we get 0

[alpine sable]

Because they are 2 distinct terms

[harsh acorn]

oooh

[harsh acorn]

a=y from this equation

[alpine sable]

Yesh

[harsh acorn]

so after what :s

[alpine sable]

So $\sqrt{a\sqrt{a\sqrt{a \cdots}}} = y = a$

[ocean seal]

omeganebula

[alpine sable]

Now let’s substitute these values back into our original question

[alpine sable]

This

[alpine sable]

And this

[harsh acorn]

(1+root of bla bla) - a = 0

right?

[alpine sable]

We get $\frac{1+\sqrt{32a+1}}{2} - a$

[ocean seal]

omeganebula

[harsh acorn]

i think it is equal to 0

[alpine sable]

Wait sorry yeah you’re correct

[harsh acorn]

didint we replace

oh okay :p

[alpine sable]

I misread 😅

[harsh acorn]

and common deminators and find a?

denominator*

[noble sinew]

way easier to isolate a in 8a+x=x^2 then plug that in ax=x^2 and solve. (but still with multiple choice it takes like 30 sec to find the correct answer since it can only really be 9 or 12 so just check either and if wrong then the other one is correct)

[harsh acorn]

can u explain to me why it must be 9or 12

i didint get that part

[noble sinew]

sqrt(6*sqrt(6 * sqrt(6...))) is too low

so will the other ones be

[harsh acorn]

oh right

but why did you choose 9 not 12

how did u know

[noble sinew]

didn't rly matter since if we chose 12 and found it was wrong then we know it is 9

but 9 is a nicer number than 12

[harsh acorn]

ah i understand

[noble sinew]

but okay 8a+x=x^2 <=> a=(x^2-x)/8. Plugging that in the other equation gives us (x^2-x)/8 * x=x^2 <=> x^3/8-x^2/8=x^2 <=> x^3/8-9x^2/8=0 <=> 1/8 * x^2(x-9)=0

which from zero rule gives us x=0 or x=9

plugging that in we get 8a+0=0^2 or 8a+9=9^2

which gives us a is 0 or a is 9

[harsh acorn]

oh yes

thank you man

idk why they give us hard questions like this

[noble sinew]

if you just have to reach the correct answer for multiple choice like that its probably just faster pulling out your calculator and calculating the first 3/4 of each

[harsh acorn]

no calculator allowed :d

[harsh acorn]

So, there are these cards in the box and question says what is the chance of taking 2 even cards in the box
but there are problem, in the first try i can take even or odd number i cant now that and chance's formula for this question is (4/9) x (3/8) (if we take even card in first try)
(4/9) x (4/8) ( if we take odd card in first try)
so which one should

[steel osprey]

what are those math joke in simpson

[harsh acorn]

which one should i choose or did i solve it right?

[indigo jetty]

normally such questions would mean taking without replacement, so the first solution should be the correct one

if you're wondering if your working is correct, it's basically the chance of taking an even card from the first draw, and another even card from the second draw

so it's 4/9 * 3/8

[harsh acorn]

so standard type is like that

okay thank you so much

[potent rock]

part c

[bleak ibex]

You have the area, you have the population

Go ahead and find the val

[normal steppe]

Population/Area

U will get answer

[left frigate]

Can someone explain to my dumb ass how this simplifies to

this

[indigo jetty]

$1 = \frac{(x+1)}{(x+1)}$

[ocean seal]

Ken G

[royal edge]

can anyone tell me what does this mean?

[left frigate]

ohhh wow that's so obvious in retrospect. I need to learn calculus in 2-3 weeks and I get stuck on basic precalc stuff like this I'm fucked

[oak chasm]

@left frigate You can practice up.

[left frigate]

That's the only talent that has gotten me ahead so far - smooth brain ape grinding it out until it's internalized. Any resource tips for exercises to do this?

[oak chasm]

Well, if you prefer paperback workbooks with lots of problems, there's Schaum's Outlines, which have short explanations and lots of problems and their answers. Not sure about online. You could try maybe Khan Academy.

[left frigate]

Thank you! I found the pdf online

[oak chasm]

No problem.

[noble sinew]

Look up Cochrans rule - says at most 20% must be below 5

[alpine sable]

.

Sorry if I interrupted something. I am new here

[steady hornet]

Don’t understand what d is asking

[oak chasm]

@alpine sable See #❓how-to-get-help for how to use the questions channels.

@steady hornet How far have you gotten in understanding it?

[steady hornet]

Nothing

Absolutely nothing

[oak chasm]

OK, do you understand there are 6 cards?

[steady hornet]

Yes

[oak chasm]

OK, and they split the cards into two halves.

[steady hornet]

Yep

[oak chasm]

Then, they sum the numbers on each half.

[icy fox]

He has 6 cards.
He splits them into 2 groups 3 cards each.
He finds the lcm of the sum of both pairs of 3.
What’s the smallest attainable lcm

He finds the lcm of the 2 triple sums

So that means he finds the lcm of the 2 numbers he gets after adding the sets of 3 in each pair

[oak chasm]

@steady hornet Does it make sense now?

[steady hornet]

Yep

[icy fox]

@oak chasm can u help me in #help-1

[steady hornet]

Confusion hits me again

[alpine sable]

pls tell

[steady hornet]

Yes

[alpine sable]

someone tell

pls

[steady hornet]

But, that serves no answer to my question, but it raises another question, and since I answered your question, I request you to explain what it means

[alpine sable]

@steady hornet ?

[steady hornet]

STOP

[alpine sable]

ohk

[steady hornet]

JEZUZ

[alpine sable]

i am new here

so idk

[steady hornet]

READ THE RULES

[alpine sable]

wdym

how

[steady hornet]

IDIOT

[alpine sable]

how

howwwwwwwwwwwwwwww

telllllllllllllll

[steady hornet]

She*

[alpine sable]

give reasonnnnnnnnnnnn

@alpine sable

[steady hornet]

Great, now because of you @alpine sable you’re flooding the channel and my question is lost

[gray isle]

<@&268886789983436800>

[alpine sable]

oh srry

[sly mantle]

@alpine sable watch your language

[alpine sable]

i am new here so i know nthing

[sly mantle]

bye troll

[fading zephyr]

looks like a ban to me

[steady hornet]

Someone’s cocky

Sigh

[sly mantle]

yes 👢

[alpine sable]

wth happened

[steady hornet]

Btw can someone explain this

[sly mantle]

troll

[steady hornet]

This whole thing is making my brain mushy

[spare ingot]

Welp

[proper hare]

Real quick I need help with the boxes on the left

If I can see how those are I have a couple other problems that are similar which I can learn from

<@&286206848099549185>

[lament wyvern]

read the rules

[tight basin]

this is what i've done so far

how do u answer a ?

[acoustic shadow]

Check continuity if they’re cont.(must be) take the derivative and put x=1

[acoustic shadow]

Do you know how to resolve vectors

[tight basin]

yea

guess it would be like that?

not sure what angles to use ...

[acoustic shadow]

Along the incline the angle is always the sin component you can remember this or it’ll automatically get printed in your brain

[tight basin]

so.. R = mgsin a?

[acoustic shadow]

Along the incline is the sin component

In direction of the incline

[tight basin]

along the incline?

soooooooooooo r = mg cos a

where a = 36.87?

[alpine sable]

Normal force equals mg cos theta yes

mg sin theta= mg cos theta μ so μ= tan theta which is just 3/4

Although this is a question meant for the physics server

[cinder sundial]

ayyy

[worldly pike]

Sickle cell anemia is an autosomal recessive disorder that affects about 1 in 3000 Americans.

Determine the frequency of the dominant allele.

^ please help, thank u

[oak wigeon]

I need help, Is this correct

[alpine sable]

Well yes assuming it's a parabola

Can't be sure with just some random points

[worldly pike]

Sickle cell anemia is an autosomal recessive disorder that affects about 1 in 3000 Americans.

Determine the frequency of the dominant allele.

[clever sail]

/help

,help

[ocean seal]

A brief description and guide on how to use me was sent to your DMs!
Please use ,list to see a list of all my commands, and ,help cmd to get detailed help on a command!

[clever sail]

,list

[alpine sable]

Do you know what that equation even signifies

[tacit breach]

Yea

[alpine sable]

Check it out and compare

In (x-k)^2 + (y-h)^2 = r^2 (k,h) is centre and r is radius

[tacit breach]

yeah

how do I find the center of this 🤔

[hexed warren]

Compare with the general equation, you will find value of h and k

[tacit breach]

should be (-5,2)

[harsh swallow]

other way around

5 -2

[alpine sable]

(5,-2) !!!

Check the signs

[tacit breach]

gotcha

inverse it

[oak wigeon]

@short epoch

Is this correct also what do I put for how you know this table represents a quadratic function

?

[alpine sable]

Well only because it's symmetric and satisfies a quadratic function. Try to find the function

[harsh swallow]

since the 0 point of the quadratic is at x = 0

[alpine sable]

Symmetry about x = 0

[harsh swallow]

you know that the function is ax^2 + c

[oak wigeon]

?

[harsh swallow]

c being -5

[oak wigeon]

Yes

So it’s not correct I’m guessing?

[round hawk]

what is P = 2a+b; find b

[harsh swallow]

the function is

f(x) = 2x^2 - 5

[oak wigeon]

So that is the function

But how do I explain it because it’s basically saying it’s a quadratic function

[harsh swallow]

the relationship between the numbers but for the life of me i cannot remember what it was

[hidden plover]

Guys when solvinf first order differentials using an integrating factor, ehat heppens when p(x) and q(x) are constants

Like is it possible to solve it

[harsh swallow]

idk what you mean

[hidden plover]

Do u know about differentials?

These

[harsh swallow]

i have never seen differential equations with p and q

sorry

[hidden plover]

No problem buddy

[alpine sable]

Uhhh

hmmm

Yea

[compact vigil]

Can anyone please solve this

[round hawk]

@harsh swallow how do you solve; P = 2a+b; find b

[harsh swallow]

you cannot

one equation 3 variables

[round hawk]

shit so how does it work

[harsh swallow]

too many degrees of freedom

unless you need to find b in terms of P and a

[round hawk]

im guessing thats how

[alpine sable]

WHAT the hell is this?

[harsh swallow]

if you isolate b then you have b in terms of P and a

[round hawk]

okay yes i think thats what i have to do

[woeful pulsar]

so you have a subspace of the cubic polynomials but it should be relatively easy to find a basis, like look at what m, q, n, p do in W, and then check if it is linearly independent

m=1, q=n=p=0 can give one vector

[woeful pulsar]

oh okay this is a bit weird

but basically what they are saying is for every increase in n, the total angle sum increases by 180 degrees

it's a bit weird they say it like that because it's rather discrete

[alpine sable]

so 90*7+180=810

but thats no the answer

answer is 900

[woeful pulsar]

wait a minute

how did you get 90*7 in the first place?

[alpine sable]

There are 7 N

and s is 360 when n=4

360/4

[woeful pulsar]

but why 360/4?

[alpine sable]

to find what 1 n is equal to

[woeful pulsar]

no no no

it's not a proportional relationship

it has a constant rate of change

but it is no proportional relation

[alpine sable]

okay

so how do we do it!

How does this relate to integration

this is an integration chapter

[woeful pulsar]

it doesn't

the only thing you need to know is that it's a y=mx+c function

yeah sure unless you say you want to integrate a constant

but that's like urgh using the continuous integration for this discrete problem is NO

[alpine sable]

hmm

Why would it be y=mx+c i thought the ralation was no proprotional

[woeful pulsar]

it's not proportional

that's why c is not 0

[alpine sable]

okay, so now how do we do?

[woeful pulsar]

try figuring out why m and c are?

there should be enough information there

[alpine sable]

m is the gradient

but what gradient?

no equation

unless its 360

[woeful pulsar]

the rate is given

the range of change is a constant 180 degrees

[alpine sable]

So m is 180

c is 360

[woeful pulsar]

no

c is not 360

[alpine sable]

90?

[woeful pulsar]

remember when x=4, y=360 degrees

[glass lichen]

dont guess

[alpine sable]

Yes

so 360=(180)(4)

[woeful pulsar]

wait

[alpine sable]

then you find c?

[glass lichen]

180(4)+c

[woeful pulsar]

360 is not equal to (180)(4)

[alpine sable]

but isnt 360 Y?

[glass lichen]

you forgot to type the +c. .

[alpine sable]

c=-360

[glass lichen]

yes

[woeful pulsar]

so what happens when x=7?

[alpine sable]

Yes

got 900

Thanks!

[woeful pulsar]

lots of reading comprehension lol

just need to understand the problem properly, right?

[alpine sable]

Uhh, yea

[next pulsar]

im not gonna lie to you my mathematics pals my diff eq exam starts in 14 hours 25 mins from now and i am not up to par with my fourier series. would anyone be able to guide me through this question?

Got dis far before i don’t know what to do

[woeful pulsar]

oh so it has period 4l?

[next pulsar]

Yeah this is the bit that I don’t understand, I think it does and the technique here is that they split up the function into this piece wise stuff

this question is from a practice app, i just clicked to get a hint and it said that the answer will be of the form

where A,B,C,D,E,F,G are cons

t

thanks c: professor told me i need to take pride in my notes

[woeful pulsar]

hmm, yeah looks like the period is 4l

[honest echo]

What is x(2) referring to in this case?

[alpine sable]

Function in terms of x

[next pulsar]

x is the name of the function in this case, notice the worked example will end with x = ...

[alpine sable]

When x is 2

[honest echo]

Ohh

So it’s the initial x condition

No

The final x condition

[gray isle]

what's the original question

[honest echo]

What is x(2) referring to

That was my original question anyway

[gray isle]

at a glance x seems to be a function of t

[honest echo]

r?

Or t?

[gray isle]

t sry typo

reading sideways

[honest echo]

mb for sending sideways lol

[gray isle]

i.e. what happens when t=2

[honest echo]

so x when t=2

[gray isle]

yeh

[honest echo]

But then the independent variable in this case is what?

[next pulsar]

t

[gray isle]

t

[next pulsar]

x depends on t

just like f depends on x if the function is f(x)

[honest echo]

second derivative of x with respect to t is dy/dt tho so you get this thing

So how would I use the initial and final conditions for x+2y

[next pulsar]

oh man i remember doing this in high school, euler method was torture, numerical methods in general fuck me up 😔

[hollow merlin]

what grade question is that

[honest echo]

I’m in my senior year

[hollow merlin]

ah no wonder i was so confused, never seen dy/dx for y

[honest echo]

but yeah idk how to do this

Bc we have initial conditions in terms of t...

[misty bobcat]

what is 7x doing on top right

and how did it become 28

is that book’s mistake?

[wary stream]

It's saying $$4x + 3x = 7x$$

[ocean seal]

dldh06

[wary stream]

Then it sets $$7x = 28$$ with the given information

[ocean seal]

dldh06

[tired geyser]

1+2=

[alpine sable]

3

[scenic crystal]

What are ordinary numbers?
And why 1,2 and 99 consider ordinary numbers?

[glass lichen]

ordinal numbers?

[scenic crystal]

I don't know difference between ordinal numbers or ordinary numbers, I only try to solve a question where I need to find ordinary numbers in a list of numbers?

The question is exactly "Find ordinary numbers"

Let's call a positive integer n
ordinary if in the decimal notation all its digits are the same. For example, 1
, 2
and 99
are ordinary numbers, but 719
and 2021
are not ordinary numbers.

For a given number n
, find the number of ordinary numbers among the numbers from 1
to n.

It is a programming question?

[vale wigeon]

and it defines exactly what "ordinary number" means

[glass lichen]

ok so ordinary numbers are numbers comprised solely of 1 digit

[vale wigeon]

only for the purposes of this question

[glass lichen]

I mean obviously you have 9 ordinary numbers per number of digits in the number

since we exclude 0

But yes my guess is it's a coding question

[scenic crystal]

@glass lichen yes it is!

[alpine sable]

Thank you

[gray isle]

is that 4 supposed to be part of the equation?

[toxic dust]

umm any ideas

[alpine sable]

Yes

The . Is a times

Can I ask a question?

Thank you

[wet fulcrum]

no u dont need 2 values

take - 9 to the other side

then take the 4 below 9 on the other side

square root both sides

ah shit mb

lmao

i forgot ±

[alpine sable]

If x + 1/3
= √3 then find the value of x3
+1/3^3

This is new concept to me so idk pls help me 🙏

[low crypt]

Ques 4

[alpine sable]

Aaaa I'm just starting w vectors

Tks a tone

Vector is for which class

??

Starts from which class ?

[low crypt]

Hmm basics@little sequoia @alpine sable

[alpine sable]

Oh

[alpine sable]

Did u see my question?

Ye I am in 9th

[low crypt]

Idk but I remembered 9 or 10 standard

Anyway plz help with the ques

[alpine sable]

Yes this starts in 9th

The answer is b

Lol

[low crypt]

Explain plz

[alpine sable]

I just rolled my pencil and it says b lol

[brittle grove]

is this server taken?

[alpine sable]

Ye

ROFL

If x-√ is a factor of the polynomial ax2
+bx-3 and a+b = 2- √ then find the value of a
and b

3

3

Oh got it

Tks a ton bro 🙏

This server is really helpful

Occupied?

Nah

Ayt bet help

U can ask

Look...

We are back at school but I forgot everything

I can't even answer something so basic

It's sending

I need help with question 3.3.1

Omg I feel stupid

I have exam tomorrow and learned things that we learned over 3 months in 2h with Khan Academy

Maybe you should try it out too

Khan academy is a hit or miss sometimes

One question they show how to do
1+1
Next question they show how to do hyperbola like chill

Anyone gonna help with my question

Well I'm a 7th grader sorry

[wet fulcrum]

grade?

[alpine sable]

11

@wet fulcrum

I forgot everything

[wet fulcrum]

mind sharing with country?

[gloomy lintel]

Constant speed implies in equilibrium vertically and horizontally.
So resolving vertically means R(normal reaction force)+ Fsin20=50g
Now resolve horizontally, Fcos20 -0.4 R=0

You now have simultaneous equations which you can solve

Hope that makes sense

[alpine sable]

Thx

[cloud valley]

I juste have one question:
Why I'm so bad with mathematics?😭😭😭

[gloomy lintel]

What are you stuck on exactly?

[cloud valley]

Integrals 😵

[glass lichen]

Well are you gonna post a specific question? cause we cant help you on why you're bad at math

[gloomy lintel]

Could you send the specific question you need help with?

[cloud valley]

😂😂 it's a joke 😂
Just for make everyone happy here 😂

[stark jungle]

anyone wanna help me with some gr 8 math questions?

[cloud valley]

Yeah how can I help u ? 😜

[stark jungle]

idek where to start to figure out the question

[cloud valley]

Who can prove me that P != NP ?

[stark jungle]

Interpret each equation in words.
Solve the equation.
Verify the solution.
a) x + 5 = 3x - 9
b) 2x - 5 = 10

that’s the question

[cloud valley]

@stark jungle are u kidding me 😂 it's so easy

[stark jungle]

im slow 💀

[limpid spade]

P!=NP Is easier

[cloud valley]

@stark jungle I see

[cloud valley]

Prove me

[limpid spade]

I don't give answers right away

[cloud valley]

@limpid spade 😂😂

[stark jungle]

still tho idk what to do…

[cloud valley]

@stark jungle

[undone rain]

bruh u did 3 * -9 instead of 3x - 9

[cloud valley]

@stark jungle

Don't read 😂😂 I'm French

[stark jungle]

oh lol

[glass lichen]

@cloud valley dont give away answers

it doesnt do anything to help.

[cloud valley]

Ooh sorry 🤣🤣

I didn't know 😂

[glass lichen]

cool, well now you do.

read the rules next time

[stark jungle]

yeah the answer won’t rly help unless i actually know how to get it lmao

[cloud valley]

I'm working too much, I can't read the rules

[undone rain]

1. they probably want you to use terms as addition, subtraction here
2. just solve for x, x + 5 = 3x - 9, subtract x from both sides, add 9 to both sides
3. try the solution you got for x and see if they are equal

[cloud valley]

@glass lichen can we play minecraft together 😂
🤫🤫😅

[undone rain]

last one is important if you are working with squareroots later cuz you might end up with answers that will have a negative number under the squareroot and since we are (probably) not in the complex world for you yet you would get an error

[glass lichen]

Keep the channel to help, if you're not going to help dont type

[cloud valley]

Bruh 😂 sorry 😅

[trim schooner]

hi lol

o btw if u want nitro dm me i have a gift in my inventory

[alpine sable]

Isn't the mean simply sum of X* P(X)

[oak imp]

I need help with a inequality assignment pls help me

[alpine sable]

Are you trying to use sandwich theorem?

Can I prove it in an easier way?

[civic warren]

for mine?

[alpine sable]

Yes

The limit

[civic warren]

supposed to use epsilon delta

but I thought this was the right way to approach epsilon delta def

[alpine sable]

Not sure if I know this

[civic warren]

nvm I realize what I did wrong

damn..

[tranquil rock]

sorry for weird question, but i feel like someone here will know this

does anyone recognize this equation? i am trying to figure out what it is from a codebase i am using, d1/d2 are vectors and p1/p2 are points

i think it is some form of distance

[warm swallow]

f(2,2,1) = 4 * 2 - 2
f(2,2,2) = 6 * 2 - 2
f(2,2,3) = 10 * 2 - 4
f(2,2,4) = 16 * 2 - (4 * 2 - 2)
f(2,2,5) = 26 * 2 - (6 * 2 - 2)
f(2,2,6) = 42 * 2 - (10 * 2 - 4)
f(2,2,7) = 68 * 2 - (16 * 2 - (4 * 2 - 2))
f(2,2,8) = 110 * 2 - (26 * 2 - (6 * 2 - 2))
f(2,2,9) = 168 * 2 - (42 * 2 - (10 * 2 - 4))
f(2,2,10) = 278 * 2 - (68 * 2 - (16 * 2 - (4 * 2 - 2)))
f(2,2,11) = 446 * 2 - (110 * 2 - (26 * 2 - (6 * 2 - 2)))

how to derive function f(x,y,k)

[tranquil rock]

jesus, that is a really cool question

[remote temple]

The equation of the linear regression line is y = .73x + 1.3, What is the residual for the point (6,8)? Round to the nearest tenth.

anyone know?

[trim schooner]

yo

i have question

[swift igloo]

I'm doing something stupid here but why isn't the quotient rule working

$dy/dx = (2\sqrt{x})(8x+1) - (4x^2+x)(\frac{1}{\sqrt{x}}) - \frac{4}{x}$

no?

[ocean seal]

reaps

[swift igloo]

ah right

nice

[undone rain]

lemme check

[swift igloo]

forgot about the denominator 🤣

😭

[undone rain]

you didnt divide by the squared denominator ye lol

[bold panther]

Hey, for part a). I understand the 'range' is all possible y values from the function

so from there how do I determine the lowest y value and the highest value?

[strong furnace]

relate the function with exponential function e^x by shifting along y axis on graph and then make a visual observation

[swift igloo]

@bold panther one way is to look at the function. for example, what's the smallest value e^x can produce? sub that in and evaluate the value of the function there

[bold panther]

For this, I initially thought the smallest value would be when x = 0 so e^x is 1, however e^-1/10 is lower so I am not too sure on that one

[swift igloo]

what's e^{-99999}?

[bold panther]

0

oh damn

wow

ok so 0-5 = -5

[swift igloo]

a graph of e^x helps for cases where you don't have a calculator of course

[bold panther]

-5 <= f(x)

[swift igloo]

and it becomes visible that the function tends to 0 as x -> -inf

[bold panther]

Then for the upper bound its infinite?

• infinite?

[swift igloo]

right

[bold panther]

why - infinite and not + infinite?

[swift igloo]

try draw a sketch of e^x

[bold panther]

i know its very small for - x then for +x values it grows exponentially in the y axis

[swift igloo]

right

so the y value is positive on the grid, right?

[bold panther]

yep

[neat fable]

One white tile represents +1 and one black tile represents -1.

You have 5 black tiles and 4 white tiles. List all the ways you can combine the tiles to model these integers

[swift igloo]

so +infinity. it'd be -infinity if it was going below the x axis. for example -e^{x} (a reflection of e^x across the x axis) is -inf

[neat fable]

One white tile represents +1 and one black tile represents -1.

You have 5 black tiles and 4 white tiles. List all the ways you can combine the tiles to model these integers

[bold panther]

ah okay ty

[neat fable]

One white tile represents +1 and one black tile represents -1.

You have 5 black tiles and 4 white tiles. List all the ways you can combine the tiles to model these integers

can someone helpppp

[bold panther]

bro, if you send the same question 10 more times then maybe someone will help!! 🥴

[neat fable]

ok

sends 10 more time*****

[strong furnace]

option c feels incorrect just by looking at it , for a and b divide a^1/3.b^1/3.c^1/6 from Nr Dr

[alpine sable]

Can somebody help me with these

(A,B)

[strong furnace]

numerator denominator

are you asking for the method (which I provided ) or the thinking process?

[livid lintel]

is this right

[alpine sable]

Can I get help with 1 and 2

I have no understanding of it

[flat gust]

You're given the equation y = mx + c

You have a point which means you have x and y, as well you have m which is the slope (slope is infront of x). Find c, then write the final equation.

[alpine sable]

https://tenor.com/view/huh-what-confused-awkward-gif-4331504

How do i find c

[flat gust]

Let's do 1. (a)...

2 = 1(2) + c

Find c

2 = 2 + c
subtract 2 from each side (which doesn't actually change the actual value of the equation). 2 - 2 = 2 - 2 +c ---> 0 = 0 + c
so c is 0.

[plush bear]

why isnt it y=mx+b

[wary stream]

You can do this way but point slope is another way to do it $$(y - y_1) = m(x - x_1)$$

[ocean seal]

dldh06

[flat gust]

Oh ya

[alpine sable]

?

[wary stream]

Can't you tell this channel is occupied?

[plush bear]

thought it was finished

[alpine sable]

Where did u get those from

[wary stream]

Plug in the value for x, y, and m, into $$y = mx + c$$

[ocean seal]

dldh06

[neon tinsel]

Hey guys can someone help me solve this integral

[alpine sable]

H is not a variable right

[neon tinsel]

Nope

[strong furnace]

what have you tried ?

[sand mountain]

is that pi?

or an "r"

[neon tinsel]

Tried change of variable

r

[strong furnace]

what did you change

[flat gust]

It's given to you. You have a point and a slope, m is the slope which just 1, point is (x, y) which you have is (2, 2) so x = 2 y = 2. Then you have this equation y = mx + c. You have everything already. Plug the numbers in which then you'll have this 2 = (1)(2) + c. ** WE DONT HAVE C SO WE MUST SOLVE FOR C ** 2 = 1x2 + c which is just 2 = 2 + c then subtract 2 from each side, becomes 0 = 0 + c. YOU HAVE NOW SOLVE FOR C WHICH IS C = 0. Final answer would be y = x

[neon tinsel]

I assumed the thing inside the sq root to be t and worked from there but it didn't solve anything

[strong furnace]

can you show your work?

[neon tinsel]

Yeah

A min

[sand mountain]

idk maybe integrate by parts

i have integration test in 2 weeks as well

[neon tinsel]

Nah tried that

[sand mountain]

hold up the squre root part looks like you can just complete the square

[sand mountain]

oh wait that's root 2

[neon tinsel]

There was nothing like that in numerator so I didn't do anything forward

[strong furnace]

you can still complete the square and that is the way of doing it

[sand mountain]

ohhhhhhhh yeaaaaaaaaa

[strong furnace]

since you have the expression for dt can you relate that with your numerator?

[neon tinsel]

I can but that root 2 h is posing a problem

I can add and subtract it in numerator maybe it will lead somewhere

[strong furnace]

give it a try

[neon tinsel]

Okay

Okay now there are 2 integral one could be solved using change of variable

[strong furnace]

lets focus on the other one then

[neon tinsel]

Second is integral of form (a²+x²)^-1

[strong furnace]

you can solve that I assume?

[neon tinsel]

I guess there is formula for that right

[strong furnace]

there is

[neon tinsel]

Aahhh Okay thanks

[tropic abyss]

can anyone help me w this

[alpine sable]

Can someone help me with this -

1+1

[tropic abyss]

did it not post

thats 3

off the top of my head 1+1 is the closest to 3

[alpine sable]

Oh, tks a ton, I got 1

👍

[tropic abyss]

ah ok maybe it was closer to 1

can u deadas help em tho

me?

[alpine sable]

Sometimes 4

[tropic abyss]

why not round it up to 5

its nicer

[alpine sable]

Ye lol

[tropic abyss]

can u help me?

can someone help em with this

[hollow merlin]

this is just quadratics

so use the quadratic formula to calculate h

[tropic abyss]

can you help me

[hollow merlin]

then to find the maximum value use the bigger value of h out of the 2

use this formula

[tropic abyss]

can you help me step by step

[hollow merlin]

but replace x by h

[tropic abyss]

so i use that equation rn

for a?

[hollow merlin]

ur solving for h

height

[tropic abyss]

yea

[hollow merlin]

a = -5, b = 30, c = 25

[tropic abyss]

so do I do this for 5a?

yea ik that

[hollow merlin]

u sub those numbers in the equation

and solve for x

which is basically h in this situation

[tropic abyss]

yea bro but do I do this for 5a?

to find the hieght of the balcony

[hollow merlin]

i just said how to above

use the equation

quadratic equation

[tropic abyss]

yea

ik

[hollow merlin]

so it would be h = -30+-sqrt(30^2-4x-5x25)/2(-5)

h = -30+-sqrt(900--500)/-10

-30+-sqrt(1400)/-10

-30+-37.4165738677/-10

-67.4165738677/-10

h = 6.74165738677, thats one of the possible answers

other is h = -0.74165738677

but h cannot be negative

so h = 6.74165738677

[tropic abyss]

isnt it 900-500

there isnt another - in any

@hollow merlin

nvm

its neg

[tranquil tulip]

Open or no?

[tropic abyss]

all u

[hollow merlin]

@tropic abyss did u understand how to do it?

[tropic abyss]

yup got it tysm

[safe sable]

Is this open?

[hollow merlin]

np 🤝

[tranquil tulip]

How do you do x^2 + 12x + 5

for x

[swift igloo]

use the quadratic formula

[tranquil tulip]

Ok thx

[swift igloo]

can anyone help with this Q

https://cdn.discordapp.com/attachments/269573202018041856/839554357833367552/Screenshot_2021-05-05_at_18.29.03.png

<@&286206848099549185> (pinging sooner since I waited at least 15 mins in another channel a few times)

my integral of dr/dt doesn't work (moving to #help-2 i guess...)

[tropic abyss]

yo but can you help me with the rest by any chnce?

[wanton turtle]

Pretty sure the order forming is 1, 3, 5, 7 and so on

You can see that when we add the terms, we get the square of the number of terms we have added

For example, if we had only 2 rows of cans, it would be 1+3 which is 4 cans (square of two)

Similarly, if we had three tows it would be 9 cans

Then 11 rows would be 11 squared which is 121 cans

(Be sure to double check, I might be making a mistake here)

[trim rose]

What is the formula of getting the sum from integers in the range from Number A to Number B inclusive?

like the sum of integer in range 1 -> 10 is

sum = sum + 1
sum = sum + 2
...
sum = sum + 10

So the sum is 55 at the end

[glass lichen]

integers or natural numbers?

[trim rose]

natural numbers

[glass lichen]

$\sum_{i=1}^n i =\frac{n(n-1)}{2}$