help-0

[opaque oracle]

im not sure where to start

[random pelican]

Calculate the value of x and y, knowing that the segments AM and BN are two of the measures of triangle ABC.
(Obs: Sorry for the many questions im trying to understand everything before the exams)

[glacial hedge]

@\

@random pelican

are there any properties of that triangle?

[random pelican]

Nope, everything about the triangle is at the question

[wary stream]

(S)He's asking if you can identify anything special about that triangle that was given

[glacial hedge]

r u sure thats not an incenter or one of the other thigns (i forgot the name)

[glacial hedge]

what he said

[random pelican]

ye im pretty sure

my teacher said somethings about identify other triangles in a triangle

[glacial hedge]

yep

1 sec lemme open my geo notes

yep its the centroid

because the segment's BN and AM bisect their respective sides

aka median

there is a theorem that states AG = 2/3 * AM

and BG = 2/3*BN

you can plug in and solve from there

[random pelican]

@glacial hedge i didnt understand

[terse iron]

is 864

[wary stream]

Channel taken

[wary stream]

That point is the centroid. The centroid is located 2/3 of the distance from the vertex to the midpoint

That equation, that had BG and BN, is how you solve it

[glacial hedge]

ty for explaining, i kinda suck at that xD

[wary stream]

I just Googled it and found the explanation

[random pelican]

Oh ok

[wary stream]

And that's what you should do @random pelican. Look up resources on this stuff, and attempt it yourself and if you don't understand what it's saying or know what to do, then you should ask

[random pelican]

I have did that, didnt find anything before, i am 4 hours trying to understand hw and still isnt even at the middle of it

[wary stream]

You didn't try hard enough because I looked up midpoint bisector, then realized it's called the centroid, then found the equation of the centroid

[random pelican]

Ok

[civic elbow]

Hey could anyone explain how to do this problem please?

[alpine sable]

guys i need some help

[glacial hedge]

go ahead

[alpine sable]

Idk how to solve this I just wanna get it over with 💀

[civic elbow]

Holy crap that’s a lot

[alpine sable]

Well these are just practice questions for a quiz

[glacial hedge]

dude

dafuq

do at least wanna take a screenshot

instead of tiny text

[alpine sable]

I’m just worried about the quiz tbh💀

Yea hold on

[civic elbow]

@glacial hedge um hello, if you are free currently would you mind helping me on a question?

[glacial hedge]

um

sure

[civic elbow]

Do you know how to solve this?

I am thinking the last one

Tbh

[glacial hedge]

is QPMN a rhombus

[alpine sable]

im not even worried about these its just whats on the quiz

the quiz is very similar

[wary stream]

Hold on, let @civic elbow finishing asking first. They were here first as well as you have like 5 questions while they have one

[wary stream]

I think the general shape is a parallelogram

[alpine sable]

yeah no problem

[civic elbow]

^

[glacial hedge]

@civic elbow then use properties of the parallelogram

[civic elbow]

So if MQV = 90 and I am trying to find VQP, I have to subtract MQV from the entire angle created by that vertex of the parallelogram, and that vertex would be MQP

So the last option right?

[alpine sable]

i have the answers to the questions bu that shit make no sense

[civic elbow]

idk if I am right tbh

I think it’s the last one

[alpine sable]

<@&286206848099549185>

[wary stream]

Please wait 15 minutes before pinging helpers

[alpine sable]

https://tenor.com/view/please-be-nice-server-staff-server-mods-discord-staff-discord-mods-gif-17497073

[wary stream]

Why?

[icy trail]

does angle ABD have to equal 90 degrees? otherwise there would be two possible places for B

i think we can use sin rule to find all the sides and angles of the larger triangle

[granite minnow]

angle ABD is 61 degrees tho

[somber oak]

Help?

[lethal stump]

it's weird that they're asking for 3 sig figs

but the way you work this out is easier than you think

first thing that you gotta do is find out how many numbers you're picking

in this case it's 7

so write like 7 of these _ things to make the process easier

like this

wait

how do i write seven underscores

ah whatever

anyways the first 5 numbers are selected from 1 to 50 yes?

[somber oak]

Yes

[lethal stump]

so you write down 50 * 50 * 50 * 50 * 50 first

do you realise why they multiply?

[somber oak]

Yes

I did this in school but the revision booklet doesn’t help

I remember now what I do

[lethal stump]

ah i c

nws then

[somber oak]

You just do the highest number and then to the power of the amount

But thank you for reminding me

[lethal stump]

yea thats what you do

nws nam

*man

[somber oak]

Wait actually I do need more help

@lethal stump

After I’ve done the first one what do I do with the second amount?

11 to the power of 2

Do I add it to the number?

[lethal stump]

you gotta multiply it

[somber oak]

Ok Thanks

[lethal stump]

nws

[dim vine]

How do I do this question? I tried using the tensions of the 2 boxes and then equalling them to each other to find acceleration but got it wrong

[dim vine]

<@&286206848099549185>

[wary stream]

Translate, please

[obtuse yoke]

yup can not read it

[winter flare]

beeing the partial derivatives of second order r^2>r continuous, find the value of m

[native temple]

when you get to(covert to latex) x=sqrt(c)plus or minus b/2

what does the plus or minus apply do

b/2 or c?

[thin berry]

hey guys it is a dumb question real quick

[obtuse yoke]

x=√c±b/2?

[thin berry]

what was the sum infinite arethmetic sequence formula ?

ik im stupid but just trying to remember lol

[native temple]

yea

convert to latex

[thin berry]

bc i have a test tmr\

[obtuse yoke]

ok....

[sudden whale]

im sorry is there a way to solve this

pls help

[obtuse yoke]

infinity or negative infinity?

[thin berry]

infinity

the sum of all numbers

[obtuse yoke]

because it is infinite...

[wary stream]

$$x = \sqrt{c} \pm \frac{b}{2}$$

[ocean seal]

dldh06

[thin berry]

idk

[obtuse yoke]

I think...

[obtuse yoke]

because there is really no way to manually solve an equation that is infinite

[wary stream]

Yes, there is a way to solve this

[thin berry]

the arethmetic sum

arethmetic sequence sum

formula

[obtuse yoke]

wait can u put the formula in the chat

[thin berry]

idk it that is the problem lol

[sudden whale]

i dont have the values of b and d though

[obtuse yoke]

aN = a1+(n-1)d

?

[ornate arch]

someone?

[native temple]

Yea like that

[thin berry]

it is the formula to find the nth term

there is another one

[obtuse yoke]

because if d<0 then it is -infinity

and if it is greater it is infinity

I am pretty sure

[thin berry]

it is like the geometric infinite sum series

s=a1/1-r

there is a one for arethmetic i guess

[obtuse yoke]

oh...

lol we weren't on the same page lol

[thin berry]

kek

[native temple]

in $$ x = \sqrt{c}\pm\frac{b}{2} $$

[ocean seal]

Nerdy_Coder

[native temple]

what does $$/pm $$ apply to C pr $$/frac{b}{2}

[ocean seal]

Nerdy_Coder
Compile Error! Click the reaction for more information.
(You may edit your message to recompile.)

[wary stream]

Wrong slash

[obtuse yoke]

I'll see about the other formula

[thin berry]

aight

[obtuse yoke]

is it the a+ar+ar^2...

one

or is it a different one...

[native temple]

$$ what does \pm apply to \sqrt{c} or \frac{b}{2}$$

[obtuse yoke]

oh yah

[ocean seal]

Nerdy_Coder

[obtuse yoke]

it is the same one I think @thin berry

[native temple]

oh

nice

very nice

$$ what does. \pm apply to \sqrt{c} or \frac{b}{2}$$

[ocean seal]

Nerdy_Coder

[wary stream]

Put the $$ around the functions

What does $$\pm$$ apply to $$\sqrt{c}$$ or $$\frac{b}{2}$$

[ocean seal]

dldh06

[thin berry]

kinda

[obtuse yoke]

it is the expanded one

[native temple]

Thanks please answer my question

[thin berry]

ill make sure again

oh i only have the geometric one dang

lol

[obtuse yoke]

lol

[wary stream]

It should apply to the b/2

[thin berry]

ty tho

[native temple]

oh

[obtuse yoke]

ok ur welcome

[wary stream]

Is this a test?

[sudden whale]

no

its a quiz thingy

on udemy

but the video didnt explain it correctly

the course never explains it correcly, the quiz sometimes has questions not even related to the video prior

[wary stream]

You can look up the tangent secant theorem and tangent tangent theorem

[sudden whale]

ok i'll try

[rocky dock]

am i on the right track?

[native temple]

hmm active?

[lean gust]

how prouved that B(p,q) = integrate of x^p-1 (1-x)^q-1 dx from 0 to 1

[rocky dock]

@lean gust @native temple this channel is occupied

[gray isle]

you're domain for fog looks ok
not sure why you're setting that fraction to be > 0 for gof

[rocky dock]

the denominator cannot = 0

[glass lichen]

Denom will never be 0

[rocky dock]

oh you're right

because there's a + 1

ok so what should i do then.. im still a bit lost

[gray isle]

for the domain of $g\circ f$ you should be considering where \
$\sqrt{x}$ and $\frac{\sqrt{x}-9}{\sqrt{x}+1}$ are both defined

[ocean seal]

ℝamonov

[rocky dock]

what do you mean by defined?

[gray isle]

defined over the real numbers

(no imaginary, complex, no division by 0 etc)

[rocky dock]

the domain of f(x) is ≥ 0 and the domain for g(x) is x = -1

[gray isle]

you don't care about the domain of g when looking for the domain of gof

[rocky dock]

is this set up correctly?

[ionic jewel]

for whoch

that's g(f(x))

[rocky dock]

thats what im trying to solve

[ionic jewel]

it wants the domain

but you have the function right

[rocky dock]

thats what im confused about

how do i find the domain

[ionic jewel]

the domain restriction on sqrt(x) is that x can't be less than 0

and also dividing by 0 is against the rules

so find all values of x that don't have problems with either of those ^

[ionic jewel]

that's the same image

[viscid basalt]

no different, it's a bit left sided than the original

[rocky dock]

so greater than or equal to 0?

[ionic jewel]

yes

[gray isle]

no

[ionic jewel]

no

[viscid basalt]

no

[gray isle]

the domain itself are values greater or equal to 0

[ionic jewel]

i misunderstood what you meant by "greater than or equal to 0"

[gray isle]

the domain is different from the value of the fraction

do not set the fraction to be greater or equal to 0

[rocky dock]

then what do i set it to?

[gray isle]

don't set it to anythign

domain is the set of values greater or equal to 0

write the symbolic equivalent to that

[rocky dock]

[0,∞)

?

[gray isle]

yes

[rocky dock]

ok but i still dont understand why

so

[gray isle]

the domain restriction on sqrt(x) is that x can't be less than 0
and also dividing by 0 is against the rules
so find all values of x that don't have problems with either of those ^

[rocky dock]

i know the domain of f was

[gray isle]

i mean it feels like you have an idea of what domain is...

but the way you're writing it means something completely different than what you think

[viscid basalt]

haha easy, https://google.com is a domain

[icy trail]

ok but what's the range O.o

[rocky dock]

im a bit confused bc here it says

g(f(x))

[viscid basalt]

[0,googol value]

[rocky dock]

so we know f's domain is greater than or equal to 0

@viscid basalt could you stop, pls??

[viscid basalt]

oksawy bye

[gray isle]

$\frac{\sqrt{x}-9}{\sqrt{x}+1} \red{\geq 0}$ \
is \red{NOT} a valid way of saying that the domain of $\frac{\sqrt{x}-9}{\sqrt{x}+1}$ are the values greater or equal to 0

[ocean seal]

ℝamonov

[rocky dock]

ok so heres whats confusing me... just stop me at any point where im wrong

[gray isle]

i've been telling you

[rocky dock]

first we need to gather the domain for the innermost function... in this case g of f

thats f

f's domain is greater than or equal to 0

then we put f(x) into g(x)

once we do that we need to find the composite domain

[gray isle]

f's domain are the set of values greater or equal to 0, represented by the inteveral [0, inf)

[rocky dock]

exactly

[gray isle]

and gof's domain is also the set of values greater or equal to 0

[rocky dock]

this is where i get stuck

[gray isle]

which is also represented by the interval [0,inf)

and their intersection is trivially [0, inf)

[rocky dock]

this is what we get when we put f(x) into g(x), yes or no?

[gray isle]

yes

and you've correctly identified that the domain of that is the set of values greater or equal to 0

[rocky dock]

ok, maybe im overcomplicating it

[gray isle]

the issue is that for some reason you're setting that fraction to be >= 0

[rocky dock]

i was thinking of it as a rational inequality

kinda like x-4/x+9

[alpine sable]

[gray isle]

if you've already identified the domain, you don't really need to do anything else

[rocky dock]

ok, im gonna try some additional practice problems

thanks

[icy trail]

how come you're writing [0,inf) instead of [0,inf]

just curious

[alpine sable]

what is 1+1 I need this answer quick?

[icy trail]

idk bro try #advanced-number-theory

[alpine sable]

thanks

[rocky dock]

@icy trail infinity isn't included seeing as it is something that cannot be reached

[icy trail]

never seen that before, cool!

[glass lichen]

you.. should've been taught that

[alpine sable]

?

[glass lichen]

inf and -inf is always excluded

[icy trail]

i don't think I've ever heard my teachers talk about inf as bounds

[eager fern]

khan academy is telling me this graph is correct but i just dont see it

how can it be

how is this one not right

[alpine sable]

um what

how is this right

[icy trail]

just a graph that approaches a y value of 3 as x gets closer and closer to -2 (from both directions)? i think most curves that pass through (-2,3) would be valid

[glass lichen]

cause the double sided limit doesnt even exist for x=-2

[alpine sable]

what degree of math is this?

looks painful as fuck to solve

[ionic jewel]

both are calc2

although the second one requires a background in hyperbolic trig

[alpine sable]

Oh god

How can those kinds of problems apply to real lifr?

like

[ionic jewel]

oh don't worry nothing looks that nice in real life

[alpine sable]

bruh

that nice

i was expecting a that detrimental

or a that depressing

or that painful

[ionic jewel]

it was a joke

[alpine sable]

oh

[ionic jewel]

you don't solve integrals by hand usually

but integrals in general come up in my daily life more than I'd expect

[alpine sable]

o thats interesting

[humble anchor]

if theres a 0.35% chance of winning

how many times do i have to try on average

[alpine sable]

hey guys im very confused, i have a question w initial pt of 2,0 and terminal 5,2
it asks me to write this vector as a linear combination of i and j
why is it not 3i+2j

[wraith cairn]

idk well it doesn't seem wrong

I have a question

I don't understand what the question is asking

I don't understand how it is true

I mean here u dot v = 0 but clearly the line doesn't pass through the origin

what does it want me to do.

nevermind P is on the line, ignore this.

[tame thorn]

@here help plz

[glacial hedge]

Im really confused with R= [-7, 5] x [0, 2]... the width of it would be 7, which is not divisible by 2 or 4??? and the same for the height of 3 which isnt divisible by 2 or 4 either??? Am I misunderstanding what [-7, 5] x [0, 2] means?

[glass lichen]

how are you getting a width of 7...?

[glacial hedge]

0--7

oh

wait

its taking the cross product right

🤦‍♂️

[glass lichen]

no, cartesian product

but regardless

[glacial hedge]

wait

wut

[glass lichen]

it's a rectangle with 1 side from -7 to 5 and the other from 0 to 2

so it's 12 by 2

[glacial hedge]

OHHHHHhhhhhh

[glass lichen]

one side is formed by the interval [-7,5] and the other [0,2]

[glacial hedge]

smh i thought it was describing the vertices, or a cross product of vectors

[glass lichen]

...no

[glacial hedge]

🤦‍♂️ i am so stupid

[torpid delta]

Does anyone know if / how to solve this recursive equation?

at least get something more manageable lol

[glacial hedge]

sorry but i suck at this, maybe try solving for a_1, a_2, just to get a feel for the sequence?

[torpid delta]

Yeah, uhhh I've tried that before, several times before (even before i got to this expression which was a pain in the ass) anyway

[glacial hedge]

oh

what was the original sequence/problem?

[torpid delta]

$a_0 = 1, a_1 = -\frac{1}{2}, a_2 = \frac{1}{12}$

[ocean seal]

TC159

[torpid delta]

Hmmmm? It's not a problem per se

I'm trying to get a more general taylor series

[glacial hedge]

for?

[torpid delta]

A Taylor series approximates a function near a point, yes?

[glacial hedge]

mhm

[torpid delta]

My algorithm approximates a function under an interval

[glacial hedge]

wait what was the ungenralized taylor series

[torpid delta]

$f(x+\delta) = \sum_ {i=0}^{+\infty}\frac{f^{(i)}(x)}{i!}\cdot \delta^{i}$

This I believe

[glacial hedge]

the frick?

[ocean seal]

TC159

[torpid delta]

Hmmm?

[glacial hedge]

what was f(x)?

[torpid delta]

Do you know what a taylor series is?

[glacial hedge]

quite a weird taylor funciton im not used to f(x+delta)

[torpid delta]

it's to avoid (x-delta)

it just looks cleaner this way IMO

[glacial hedge]

im not sure... this is the general form of a taylor series

[torpid delta]

Yes

[torpid delta]

yes

I don't think you understand, by a more generalized version I mean

Taylor series is a specific case of my series approximation for a function under an interval (specifically, it's the limit for when the two boundaries meet)

[alpine sable]

For that Taylor series instead of doing it with integers increment in n

[glacial hedge]

hmm yeah sorry, i cant help there

[alpine sable]

Can you do integral from 0 to infinity

[torpid delta]

wdym?

[glacial hedge]

^ that would be much cleaner with an integral

[torpid delta]

I'm not doing a taylor series

this is the original problem, they just wanted to know what it related to

@alpine sable

[alpine sable]

Oh yeah

But I was asking generally

Would the Taylor series work with an integral definition

[torpid delta]

it wouldn't be a taylor series

[alpine sable]

Even though it’s like no integer derivatives

[torpid delta]

because a taylor series is a polynomial

[glacial hedge]

no its a series?

its an infinite series

[torpid delta]

?

It's simply not a polynomial lol

[glacial hedge]

its called a taylor series

[torpid delta]

Anyway, it wouldn't work, because you don't have a term that goes to 0 (for all members) when n approaches + infinity

[torpid delta]

I don't think you understand...

It's still a series

it's just not a taylor series

[glacial hedge]

i think you missunderstood me, i was responding to you calling it not a polynomial

[torpid delta]

you need something that somewhat relates to a dt like 1/n

[alpine sable]

Yep

[torpid delta]

yes, it wouldn't be a polynomial

[alpine sable]

dt would be constant tho

Not fluctuating like 1/n

[torpid delta]

Pretty sure the definition for integration is something similar to* $\int_{a}^{b} f(x) \dd x = \lim_{n \to \infty} \sum_{i = 0}^{n} f(a + x_i)\cdot \Delta n$

[ocean seal]

TC159

[torpid delta]

@alpine sable

where $n \to +\infty \implies \Delta n \to 0$

[ocean seal]

TC159

[torpid delta]

and where $\lim x_i = b - a$

[ocean seal]

TC159

[torpid delta]

it's probably not $\Delta n$ maybe like delta i or something

anyway

[ocean seal]

TC159

[torpid delta]

If someone can give any useful hindsight on this, please DM or @ me. Please note, I've tried getting a feeling for it but I've been calculating values by hand so it's kind of hard (specially when I just got this easier expression earlier) so please don't suggest that.

[torpid delta]

$\Delta x_i$ **

[ocean seal]

TC159

[calm topaz]

does a infinite plane have more points than a infinite solid

[glacial hedge]

@calm topaz it shouldn't

thats like saying x^2 > x^3 as x --> infinity

[calm topaz]

oh ok

so same infinity?

[alpine sable]

I mean it depends on the way you ask the question...

[glacial hedge]

classic wolf, yes they both have infinite points

but one just has more infinity

if that makes any sense

[calm topaz]

yeah but the same infinity?

[glacial hedge]

no

[calm topaz]

k

[glacial hedge]

one is infinity^2 and another is infinity^3

[calm topaz]

so aleph1 and 2?

[glacial hedge]

?

[calm topaz]

Cantors infinities

[glacial hedge]

The answer to your original question is no

[calm topaz]

k

does this have less colours than

this

[glacial hedge]

ummm

[calm topaz]

that is the origional question

[glacial hedge]

they both represent the same thing

[calm topaz]

yes but one is a solid and one is a plane

[glacial hedge]

well

actually

you see

the red, blue, and green are the sides of the triangle

the 3rd dimension comes from brightness

[alpine sable]

The triangle is only for the hue and saturation

[glacial hedge]

^

[calm topaz]

k

[glacial hedge]

what is this question asking for? Is it asking for volume of the triangle, im confused, because thats a 2d thing? if it were asking for area wouldnt it be double integral of 1 dA?

[sage cloak]

it's the are

area

[dim trellis]

guys how do i?

[sage cloak]

You can find the area with double integral of 1 dA

ikd how to put it, but you can imagine y as a force going through the area of the triangle and doing the integral will give you the impact of the force @glacial hedge

You calculate the effect of the function f(x,y) =y across the whole area of the triangle

[glacial hedge]

but area is double integral of 1 not y?

[sage cloak]

Yes, area is double integral of 1 da

[glacial hedge]

so this is volume of f(x,y) = y, over the region of the triangle?

[sage cloak]

Why is it the volume?

[glacial hedge]

its a double itnegral?

single integral is for area'

[sage cloak]

replace y by 2, you would get area of triangle * 2

[glacial hedge]

yes but why would they make u use calc for that, there is an easier formula

[sage cloak]

Yes but it allows you to find area/volume of unusual stuff

the easier formula comes from the double integral

[alpine sable]

I’m not sure how to solve this, i can get the c value easily but my b value is messed up.

Good people, could help me with these problems

<@&286206848099549185>

[gray isle]

wdym by messed up?

[dim trellis]

??

is anyone good with discrete math here

[glacial hedge]

tf?

just plug it in am i wrong?

3!+2

8

[woeful ridge]

Isn’t the answer both a and b? Since sinx at 3pi/2 is -1 and cos x at 3pi/2 is 0

[dim trellis]

ahh i overthought it thanks!

[gray isle]

consider why ONLY is written in bold

[calm topaz]

How do you define gradients in 3d?

I assume 2 planes but how are they worked out

[glacial hedge]

do you know the formula for gradient?

[calm topaz]

in 2d?

yeah its deltay/deltax

[glacial hedge]

<@&268886789983436800> can you mute @nimble garden spam?

[sly mantle]

@nimble garden knock it off

[calm topaz]

how do you impliment the z coordinate

[glacial hedge]

DuDE

STOP

[sly mantle]

@nimble garden last chance. knock it off

[woeful ridge]

So it’s sin x cause that’s the only place where it’s -1? Where cos x can be 0 at Pi/2?

[gray isle]

yes

[glacial hedge]

classicwolf theres only a 3d gradient

[calm topaz]

so I assume it is the intersection of two planes?

[glacial hedge]

for w = f(x,y,z)

[calm topaz]

2d gradient is deltay/deltax?

[glacial hedge]

not quite

[calm topaz]

rise over run?

[glacial hedge]

gradient = <del z/ del x, del z/ del y>

for a funciton with 1 variable yes that is correct

[calm topaz]

k

[glacial hedge]

dude

[sly mantle]

b&

[glacial hedge]

oh

he got banned

srously? 1+1=2

[sly mantle]

@alpine sable stop trolling

[wraith cairn]

omg hilarious

zoomer humor hahahahaha

[glacial hedge]

dude its not even funny

[sly mantle]

@alpine sable last chance, knock it off

[alpine sable]

yikes

[sly mantle]

b&

[alpine sable]

gg

[glacial hedge]

gg

[versed aspen]

can anyone disprove this equation, my friend sent me it
Proof 9 + 10 = 21.
Usually, it would be 19 but
let a = b
a^2 = ab then,
a^2-b^2=ab-b^2
(a+b)(a-b) = b(a-b)
a+b = b
and a = to b so b+b = b
so 9b= b which equals to 10, so do that one more time and then
right, then you can make 9 = 11 and add 10, therefore 9 + 10 = 21.

[glacial hedge]

when you put

(a+b)(a-b) = b(a-b)

it doesn;t satisfy the original equaiton

doing this added an extra solution

one thta wasnt valid to the original one

[versed aspen]

oh ok thanks

i was confused

[harsh acorn]

oh

channel is occupied?

sorry

[versed aspen]

no dw

[harsh acorn]

nvm then

[versed aspen]

i was just here to ask that, ur good

[harsh acorn]

Can someone explain this question please?

Idk how to derive a formula

[glacial hedge]

@harsh acorn this is a arithmetic sequence

meaning that there is a common difference of 2 between the terms

so its

1+2(n-1) for the sum

[harsh acorn]

How did you derive it

[glacial hedge]

right so

the 1'st term is

1

the next term

is

the previous term plus 2

wait mb

[glacial hedge]

thats the wrong formula

[oak chasm]

@harsh acorn One simple way is to find 1, 1 + 3, 1 + 3 + 5, 1 + 3 + 5 + 7. See if you see a pattern.

[harsh acorn]

so basically (2n-1)^2

[oak chasm]

Not exactly, but you're getting there.

If n = 1, then the last term is 2n - 1 = 1. If n = 2, then the last term is 2n - 1 = 3.

[ocean seal]

Chai T. Rex

[harsh acorn]

oh It is n^2

bcs there are n number 1+3+5+7...

[oak chasm]

Right.

[harsh acorn]

and the last term is nth term

oh I get it

[fringe lantern]

3. A certain prescription drug diminishes in the system at a rate of 25% per hour. If a person was administered 1450mg of the drug, how much will remain in 4 hours? How many hours will it take for the amount of the drug in their system to be less than 5mg?

does anyone know how to do this without logs?

i have 0.00345 = 0.75^t

to solve for t

i cant figure out how

[oak chasm]

Are you required to do it without logarithms?

[fringe lantern]

yes

we used

2 methods in class

1 was the equivalent base method

the other was the "guess and check" method

[oak chasm]

Guess and check is essentially the same as getting a logarithm.

[fringe lantern]

im assuming she wants guess and check but to answer this question u need the exact value

because its asking how much time for it to be less then 5mg

so u need < specfic time

[oak chasm]

Which part are you solving? The 4 hours or the 5 mg?

[fringe lantern]

the last part

5mg

have 0.00345 = 0.75^t

[harsh acorn]

If you want what t equals to with pricesily you need to use logarithm

If your teacher want you to guess what t equals to, I don't think it is a part of math

[oak chasm]

Well, there are a lot of guess and check algorithms, like long division, that are a part of math.

[fringe lantern]

no i understand the guess and check

but look at the question

[oak chasm]

You guess each digit of the result in long division and you check.

[fringe lantern]

ow many hours will it take for the amount of the drug in their system to be less than 5mg?

it says

how many hours to be less

so it wants an answer thats like

less then x hours

so do u want me to say

less then about x hours

or less then precisely x hours

[oak chasm]

You can probably use Newton's method somehow.

Let me check.

[harsh acorn]

,w 0.75^{19.707}

[ocean seal]

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[harsh acorn]

I found t with logarithm

[fringe lantern]

i got 19.7 with guess and check

since it says years

should i round it up to 20 years?

[alpine sable]

i got 36\

[fringe lantern]

or do i say 19.7 years

[harsh acorn]

If it is a science question, your answer must be 19.7

you can't round up the pricise fact

[calm topaz]

19.701

[harsh acorn]

damn man how do we write pricise

[calm topaz]

19.7071

precise

[fringe lantern]

its a

math question

for my unit on exponential functions

[harsh acorn]

my calc is broken then lol

[calm topaz]

no calc, just log

[harsh acorn]

For (ii), will the formula be n^4?

the previous question's (i) formula was n^2 so I think this one will be (n^2)^2

[oak chasm]

@harsh acorn You can check by calculating the first few ns.

[shadow sierra]

The first series is an AP. so you can use the formula of AP to find out

For the second one, you need to expand (2i-1)^2 and calculate the sum using the formula for each term

[wraith cairn]

yes you'll also need the formula for sigma 1 to n of i^2

[shadow sierra]

You will get 4i^-2i+1

[oak chasm]

<@&268886789983436800> Troll and garbled messages.

[tall wing]

kicked

[alpine sable]

[tall wing]

they don't have any other activity other than those messages

strange

[shadow sierra]

If you know the formula,of calculating the sum of squares of first n numbers, then you can use that in the second equation to find out

@harsh acorn let me know if you understood

[alpine sable]

wanna see the generalised formula?

I mean its not for odd, its for all natural numbers

but substitution works lol

[harsh acorn]

I want to know how to derive it

[wraith cairn]

eren told you how

bruh nice formula no one will use lol

[harsh acorn]

Look at the question first

[alpine sable]

ofc

[alpine sable]

yeah I saw, its for 2n-1

[alpine sable]

looks cool doe

[wraith cairn]

I guess.

[alpine sable]

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

[ocean seal]

omeganebula

[fringe lantern]

yo can i ask a really fast question

A certain prescription drug diminishes in the system at a rate of 25% per hour. If a person was administered 1450mg of the drug, how much will remain in 4 hours? How many hours will it take for the amount of the drug in their system to be less than 5mg?

for this thing the base of the exponential thing is 0.75 right?

or is it 0.25?

it says it diminishes by 25%

[harsh acorn]

How can I use this to derive the formula

I am still confused

like 4i^2-(2i-1)?

and I do know what the formula is for 2i-1

which is n^2

if it is right, what about 4i^2

[harsh acorn]

@alpine sable Are there any video about that? I am still confused lol

[alpine sable]

that's basic summation rules doe

[alpine sable]

again you can use the fact that $$\sum_{i = 1}^{n} (2i-1)^2 = \sum_{i = 1}^{n} (4i^2 - 4i +1) = 4\sum_{i=1}^{n}i^2 - 4\sum_{i=1}^{n}i + n$$

[ocean seal]

omeganebula

[harsh acorn]

It is offtopic but, how did you chance the background like that

[alpine sable]

,texconfig colour black

[ocean seal]

You have switched to the black colourscheme.

[hardy vault]

can someone help me

[oak chasm]

@hardy vault Sorry, channel is busy.

[harsh acorn]

I think I get it

[alpine sable]

https://www.youtube.com/watch?v=9H575ZIbKTs

[harsh acorn]

so I wil lreplace i^2 as n(n+1)(2n+1)/6 and i as n(n+1)/2 and solve it?

[alpine sable]

I hope I haven't made any mistakes

[harsh acorn]

,w \sqrt{256}

[ocean seal]

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[harsh acorn]

,w x*16=256

[ocean seal]

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Requested by Hyl1s#3863

[harsh acorn]

I think x is 16

These infinite radicals are a bit hard to understand

and there are good videos about that

basically this side will be equal to 256

the structure of left side repeats itself

thats why it equals to 256

@hardy vault

[hardy vault]

ok

[harsh acorn]

It would help too

[hardy vault]

thanks

[harsh acorn]

I love this man lol

https://www.youtube.com/watch?v=fJfp9ZZCQ9Y

[alpine sable]

Alright lads, I got a question. How do you find the area of a triangle?

[broken tide]

1/2 x base x height

[harsh acorn]

heron's formula and trigonometry one

[alpine sable]

Oh yes, thanks for the reminder fellas I do appreciate it 🙏

[weary berry]

hey can anyone help me find the x-ints of this equation algebraically? y=3x^4-16x^3-77x^2+334x-280/x^2-9

[harsh acorn]

are there () too?

I mean, are you sure the question is rigt

[weary berry]

oh sorry y=(3x^4-16x^3-77x^2+334x-280)/(x^2-9)

its a kinda polynomial rational equation i guess? idk what to call it tbh.

[rigid smelt]

that would still be hard

unless you have some hidden tool on how to factor a quartic expression

[weary berry]

i honestly don't even know

[rigid smelt]

usually i would see people split the x^2 term into two, so they would have
(ax^4 +bx^3+cx^2) +(dx^2 + ex + f)

tho i dont think it always work

[alpine sable]

unsure of what i’m doing wrong here, i keep ending up with my B value being 9

it’s meant to be 49

[ancient creek]

Find the roots of the mentioned equation, square them, let the squared values be A and B. Now to find a polynomial with A and B as roots, it's factors must be (x-A) and (x-B) (I believe this is called factor theorem). This is true because in the new quadratic equation formed, the value will be zero at A and B, this means that its factors are (x-A) and (x-B) because they make the equation equal to 0 at A and B. Since A and B are the only roots, your new equation will be (x-A)(x-B)

[alpine sable]

Hey

Is this one taken?

[weary berry]

thanks for the help. i'll figure it out somehow.

[alpine sable]

my textbook says that alpha+beta = -b/a

and that alpha*beta = c/a

but internet says different stuff

[ancient creek]

using the quadratic formula to find the roots will be the easiest... then follow the steps i mentioned above

[rancid nexus]

Anyone remember what the small wave over X is called and what it means

[alpine sable]

anybody available to help?

[gleaming warren]

i need help with thios question

[tough ruin]

may be a dumb question to ask but i just need help formatting some data, its way too long to put on a word doc and i was wondering how i could reduce its size so its alot easier to see

like that

big

[viscid basalt]

Tilde
The symbol "~" is pronounced "tilde" (till-day or till-dee), or informally "twiddle" or "squiggle".
The tilde may be placed on top of a variable, for example "x~" with several possible meanings.
Before a number the tilde is used to mean "approximately". "~42" means "approximately 42".
∼,≈,≃,≅ are all used to denote binary relations. More about this below.
Other uses are discussed in MathWorld.
In LaTeX, you code x~ as "\tilde{x}" and x∼y as "x\sim y".
according to this https://abstractmath.org/MM/MMOtherSymbols.htm

[rancid nexus]

ty

[charred zinc]

How to learn math for machine. I have never been to school

[viscid basalt]

zip it with rar :)

[charred zinc]

*machine learning

[tough ruin]

will that make it visually easier to look at?

[rancid nexus]

Read books and use the internet.and check out some code

[charred zinc]

@rancid nexus thanks

[viscid basalt]

1 nm = 1.0 × 10-7 cm
1 day = 24 hours
1 hour = 60 minutes
1 minute = 60 seconds

[viscid basalt]

not really

[rancid nexus]

1 mm = 1000000 nm. 1 day = 86 400. 1.000.000 / 86400 = growth rate per second where we describe as nm/s

[viscid basalt]

it just make the size lower

[tough ruin]

what do you mean by size?

[woven pollen]

check my 10^6 nm number.

[gleaming warren]

what is nm\

[rancid nexus]

nano meter

[gleaming warren]

oh

[rancid nexus]

it will be compressed, taking up less memory

[viscid basalt]

1x10-⁷cm

[woven pollen]

Use a spreadsheet

[gleaming warren]

and what is 86 400 seconds or minutes

[woven pollen]

24 * 60 * 60 seconds

[rancid nexus]

that is one day in seconds

[gleaming warren]

oh so less

lol

[rancid nexus]

3600 seconds per hour, 24 of them a day

[tough ruin]

i used excel to make the data but the data needs to go on a word doc

[viscid basalt]

take a pic make it a vector img put it in docx

[tough ruin]

i basically just need to make it smaller somehow so it can fit nicely on a word doc

[woven pollen]

That doesn't make sense. Why?

[gleaming warren]

so that means 1000000 divided by 86 400 is the answer?

[tough ruin]

its a report

on data

[tough ruin]

whats a vector image

?

[viscid basalt]

google it

[tough ruin]

okay

[viscid basalt]

this channel is too full I guess some of you need to move to the next channel

[woven pollen]

Can you do calculus?

[viscid basalt]

yes

[low lion]

could someone help me

[viscid basalt]

yes

[low lion]

simplifying

[calm topaz]

its just 1mm/1day times 1000mm/1mm which is 1m per day

[woven pollen]

A vector image ends in .png. As opposed to .jpg or .gif. These last two are not vector images.

[gleaming warren]

thx

[low lion]

someone

[gleaming warren]

how will i estimate my age minutes

[harsh acorn]

just ask the question

[woven pollen]

☝️

[low lion]

this is my question lol

[woven pollen]

look up at my stuff

[low lion]

oh this thank you soo much bro

[woven pollen]

oh, man. Presh has got me thinking.

[low lion]

you saved me lol

i needed help in this question

[tawny lion]

how should i approach this

i can't make it quadratic

[woven pollen]

are you finding its Derivative?

[tawny lion]

solving for x

derivative would be fine, this shit is harder than deriving it

[woven pollen]

hey, what is a cosec?

[tawny lion]

1/sin(x)

[woven pollen]

ah.

use the quadratic formula?

[charred zinc]

@woven pollen I'm learning..

[tawny lion]

that's what i thought

but it just gives some weird ass answer

[woven pollen]

let y = sinx, first

[tawny lion]

4y^2 = root(3) + (2-2sqrt(3))y

is that what you want to say?

it's not going to work

[woven pollen]

that's what I'm trying right now.

I'll try to complet the square, hang on

[alpine sable]

Can I get help next pls

[woven pollen]

It looks like it will work.

[charred zinc]

@woven pollen can give me a real life question to learn calculus.

[alpine sable]

Help pls

[woven pollen]

I'll let you finish it.

[tawny lion]

should have like 4 different solutions in pi form

according to markscheme

[woven pollen]

It's a skill. So you have to download and study Calculus text book. Then learn Statistics and Probability. And then, you can learn Machine Learning.

[woven pollen]

i'm not seeing a trig substitution to split it apart. maybe a series solution thing?

[tawny lion]

i dunno, literaly might just be a graphing problem

but when i input it into symbolab

it doesn't use graphing

which is weird as shit

[ionic jewel]

multiplying through by sin then using quadratic equation doesn't work why?

[tawny lion]

it does work but it doesn't give markscheme solutions

[ionic jewel]

,w 4sin(x) = sqrt(3)csc(x) +2-2sqrt(3)

[tawny lion]

it wont give you an answer

[ocean seal]

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[tawny lion]

or, it'll give that

[woven pollen]

bunny, it works. but the book has solutions with poi.

[tawny lion]

x = 4pi/3, 5pi/3, pi/6, 5pi/6

[woven pollen]

so, it would be intriguing to compare the numerical values with a sub + completeing the squre.

[tawny lion]

my instinct was just to make it quadratic but then you have 2 - 2sqrt(3)

[woven pollen]

,w x + 3 = 7

[ocean seal]

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[woven pollen]

nice.

[tawny lion]

what the fuck

would rather integrate xe^x by parts 10 times than do this dumbass shit

[woven pollen]

Aude. I bet you can work out the reference angles from the analytical solution of solving the quadratic. You'll need to kick it more.

[tawny lion]

will try someth dunno

[fallen rover]

how to solve this

[woven pollen]

maybe?

[ionic jewel]

a(-3) + b = 7
a(4) + b = -7

[woven pollen]

doh!

\me is too tired.

[ionic jewel]

a = -2, b = 1

[fallen rover]

pls help me

[ionic jewel]

the "run" is supposed to be 7 in yours

but the approach is right

-3 to 4

[ionic jewel]

this is like 6 problems

[fallen rover]

yeah i dont understand them

[ionic jewel]

notably i dont know how to solve any of them, but you should be more specific on which you need/what you tried

[fallen rover]

okay i have tried 1 and 2

and the rest are confusing i dont understand what to do in them

[woven pollen]

To pay the "mis-read the question" fine, I solved it with matrices, by hand....

[languid grotto]

Just subtract the first two equations

Matrices are a bit excessive for 2 variables

[woven pollen]

but the "fine" is always do it with matrics, by hand. It's like a rule.

if you mis-read a question.

[ionic jewel]

ngl i was half tempted to do it like that

i always have to stop myself from using matrices whenever i see a system of equations

also props for actually writing all ur work tensor

[woven pollen]

why, thank you. 🙂

[vale wigeon]

that's a lot of problems

which one(s) are you stuck on

[alpine sable]

Helpers been kinda inactive lately ;-;

[ionic jewel]

what

did your question get ignored or something @alpine sable

[alpine sable]

Earlier today yes lol, but I got it figured out, I was just telling d εïз that tho, just have to be patient tho

[ionic jewel]

both me and someone else answered one of your earlier questions

the piecewise one

[alpine sable]

Yes I know,

[ionic jewel]

well id help deie but they didnt answer which ones they are stuck on

no one is going to dm them so

[alpine sable]

Tru

Is 0.001331 a perfect cube?

[strong furnace]

No , unless you have a different definition for a perfect cube a perfect cube will have to be an integer by closure property

[jagged imp]

i suppose it probably means that its cube root is rational

in which case you should write 0.001331 as a fraction

but im not a mind reader

[alpine sable]

how can i calclutae prime facorisation here

please tell

[jagged imp]

of 1331? guess lol

until you get something that is a factor, then guess some more

[vague holly]

Please let me know if you get a different value from mine. Im struggling with this question.

[gray isle]

what have you tried?

[alpine sable]

(the test is already done) but i need a real life example of someone using this type of math for anything can someone help me out

[placid zinc]

Exponential properties? You can't do math without them.

So like any profession that uses math. Engineering, accounting, statistician

Or are you looking for something more specific? Like a word problem that uses this?

[alpine sable]

yes thats exactly it, i need somewhat of a specific example to show the importance of it

[ionic jewel]

probably not something you know how to solve but deriving the Var(X) for a Poisson distribution for a word problem is something i used with exponential properties literally today

[alpine sable]

i dont know what that means

[ionic jewel]

I think the idea is that it's a math building block for things that are more useful

[alpine sable]

it doesnt need to be too complicated just a job proffesion and like how its used in that profession

[ionic jewel]

you probably won't see x^n times x^m in your life (outside of math classes), but I was giving an example of how it came up in a probablity situation

hmm there's probably some accounting interest problem i could give that needs them but I can't think of one off the top of my head

[alpine sable]

well ill be here if it comes to your mind

[lime bronze]

How do i write the domain of a graph if for example it extends from -3 to 4

Do i write "-3 to 4"

[ionic jewel]

inclusive or exclusive?

as in, does it include -3 and 4?

[lime bronze]

Yes

[ionic jewel]

[-3, 4]

[lime bronze]

So do i wirte everything in between as well?

Oh ok

[ionic jewel]

or $-3 \leq x \leq 4$

[ocean seal]

bunny

[ionic jewel]

look up "interval notation" for more information on these

[lime bronze]

I see so x is greater than or equal to -3 and lesser than or equal to 4

[ionic jewel]

it'll show the difference between writing inclusive/exclusive and whatnot

[ionic jewel]

yep

[lime bronze]

Ok thanks

What if it doesnt stop

Do i just put infinite?

[lethal stump]

ya

[lime bronze]

And for range if it goes as low as -4 but keeps extending upwards then is it [-4,infinite)

[ionic jewel]

exactly

[lethal stump]

yep

[lime bronze]

I see which means a graph that opens upwards has infinite domain and a min point and infinite for rang?

Range*

[ionic jewel]

not necessarily

[lime bronze]

Parabola i mean

[ionic jewel]

ah

then yes

[lime bronze]

I see thanks

[ionic jewel]

also for what it's worth

$x \in \bR$

[ocean seal]

bunny

[ionic jewel]

means X is (in) all real numbers

[lime bronze]

Real numbers include negative numbers right?

[ionic jewel]

yep

[lime bronze]

And zero?

[ionic jewel]

yep

those are all very real

[lime bronze]

So instead of infinite i can just put that

[ionic jewel]

although you should probably just write (-infinity, infinity) to not be fancy

[lime bronze]

Oh ok

Another question actually

[ionic jewel]

ok

[lime bronze]

If the y intercept lands in between numbers what do i write as y intercept?

Example between 3 and 4

[ionic jewel]

you write where it lands

there are numbers between 3 and 4 you know

[lime bronze]

I see

What do write if exactly in the middle of 3 and 4?

3.50?

[ionic jewel]

sure

[lime bronze]

4/2

Or idk

[ionic jewel]

4/2 = 2

so not that

[lime bronze]

Oh ok

Ill just stick to 3.50

Thabks

[alpine sable]

i cant think of a situation that applies to this type of math

[raven vine]

is this channel full

?

[torpid delta]

aren't both $\Aleph 1$ infinities though

or am I missing something

[alpine sable]

@ionic jewel someone said this is an example of this:
"you need 4 walls for the house, your lazy ass co workers built one, built 1/5th of one, 4/5ths of one, and left one for you to do" is that accurate

it doesnt sound right

[torpid delta]

RGB triangle go brrrrr

[torpid delta]

yeah, you're missing a wall's worth of bricks

[alpine sable]

bro.

[torpid delta]

Yo?

[alpine sable]

how would i put that in like a

easy to explain sentence

because he worded it weirdf

[torpid delta]

you need 4 walls for the house, your lazy ass co workers built one, built 1/5th of one, 4/5ths of one, and left one for you to do

1 +1/5 + 4/5 = 2. If they left one for you to build you have 3 walls' worth of bricks, so you're missing 1 wall's worth of bricks

[alpine sable]

waiit

i feel so dumb rn

jesus christ

@torpid delta how would you put that into an equation problem

[torpid delta]

put what?

@alpine sable

[alpine sable]

you need 4 walls for the house, your lazy ass co workers built one, built 1/5th of one, 4/5ths of one, and left one for you to do
1 +1/5 + 4/5 = 2. If they left one for you to build you have 3 walls' worth of bricks, so you're missing 1 wall's worth of bricks

like how would i put that into an equation like this

help a homie out bro 😭

[ionic jewel]

that statement literally makes no sense

ask whoever told you it to explain

i see no relevence

[alpine sable]

EXACTLY

[ionic jewel]

4

[alpine sable]

@ionic jewel i have a different example if you would look into it