#help-26 | Mathematics | Page 233

neon iron Jan 23, 2022, 5:44 PM

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Hmm

old ether Jan 23, 2022, 5:45 PM

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Well, you're looking for a simplified version

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I just put it in pi notaion

neon iron Jan 23, 2022, 5:45 PM

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I thought to apply identity sin(2x) = 2sin(x) cos(x) to simply my product.

old ether Jan 23, 2022, 5:46 PM

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makes sense

neon iron Jan 23, 2022, 5:46 PM

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Some terms from numerator and denominator will be cancelled out.

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That's why I tried to find the product upto n, and I'll apply limit of n tends to infinity.

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But I stuck.

old ether Jan 23, 2022, 5:48 PM

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Just looking at an approximation using desmos, it looks close to $\frac{\sin\left(2x\right)}{2x}$, but I have no proof of it other than just how the equation looks.

thorny flameBOT Jan 23, 2022, 5:48 PM

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Chixen

neon iron Jan 23, 2022, 5:48 PM

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Ohh

old ether Jan 23, 2022, 5:49 PM

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If you needed it for some program, sin(2x)/(2x) is a good if not perfect approximation.

neon iron Jan 23, 2022, 5:50 PM

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I need to solve mathematical problem (calculator is not allowed).

old ether Jan 23, 2022, 5:50 PM

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oh oh ok

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so you would need a proof of sin(2x)/(2x) as well as how you would come to that conclusion.

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other than "the equations look the same"

neon iron Jan 23, 2022, 5:51 PM

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Hmm

old ether Jan 23, 2022, 5:52 PM

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well the product of two cosines is the average of the cosines of the angle's sum and difference.

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$\cos\left(\alpha\right)\cos\left(\beta\right)=\frac{\cos\left(\alpha+\beta\right)+\cos\left(\alpha-\beta\right)}{2}$

thorny flameBOT Jan 23, 2022, 5:52 PM

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Chixen

neon iron Jan 23, 2022, 5:53 PM

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Can you check this?

old ether Jan 23, 2022, 5:53 PM

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ok

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having a hard time with your handwriting. Can you type it using latex?

neon iron Jan 23, 2022, 5:53 PM

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neon iron Jan 23, 2022, 5:54 PM

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old ether having a hard time with your handwriting. Can you type it using latex?

This is so long.

old ether Jan 23, 2022, 5:54 PM

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it's ok

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I understand it now

neon iron Jan 23, 2022, 5:54 PM

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neon iron

That's cos(x) cos(2x) cos(3x) ...
But I need cos(x) cos(x/2) cos(x/4) ...

forest mortar Jan 23, 2022, 5:55 PM

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neon iron Can you check this?

This seems right

neon iron Jan 23, 2022, 5:55 PM

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forest mortar This seems right

Oh okay, thanks for checking...
Now, how to compute this result if n tends to infinity?

old ether Jan 23, 2022, 5:57 PM

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instead of stopping at 2^(n-1), stop at some other variable 2^m.

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see what happens then

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then take a limit as m->∞

neon iron Jan 23, 2022, 5:57 PM

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I thought to make n terms for easily calculations.

old ether Jan 23, 2022, 5:58 PM

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That tends to break whenever limits are involved

neon iron Jan 23, 2022, 5:58 PM

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Ohh

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https://www.wolframalpha.com/input/?i=limit+as+n+approaches+infinity+of+2^(n%2B1)*sin(x%2F2^n)

limit as n approaches infinity of 2^(n+1)*sin(x/2^n) - Wolfram|Alpha

Wolfram|Alpha brings expert-level knowledge and capabilities to the broadest possible range of people—spanning all professions and education levels.

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$$\lim_{m\to \infty} \frac{\sin(2x)}{2^{m+1} \sin(x/2^{m-1})}$$

thorny flameBOT Jan 23, 2022, 6:04 PM

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neon iron Jan 23, 2022, 6:04 PM

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neon iron https://www.wolframalpha.com/input/?i=limit+as+n+approaches+infinity+of+2%5E%28n...

rewriting cos(x) as sin(2x)/2sin(x) for all the terms we get the partial sum formula here which you can work out using l'hopital's rule

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the infinite product is sin(2x)/2x

neon iron Jan 23, 2022, 6:05 PM

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neon iron the infinite product is sin(2x)/2x

Ohh

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Thank you!

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yeah no prob

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i can send work if you need it

neon iron Jan 23, 2022, 6:06 PM

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thorny flame

I'm unsure if I'm wrong here.

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the product of the first n terms is
$$\lim_{n\to \infty} \frac{\sin(2x)}{2^{n+1} \sin(x/2^{n})}$$

thorny flameBOT Jan 23, 2022, 6:10 PM

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dansman1090

neon iron Jan 23, 2022, 6:11 PM

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using l'hopitals rule you get the limit of 2^(n+1)*sin(x/2^n) is 2x

neon iron Jan 23, 2022, 6:12 PM

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neon iron using l'hopitals rule you get the limit of 2^(n+1)*sin(x/2^n) is 2x

But how can we apply Lhospital rule only for denominator?

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gimmie a min ill send my work

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Ok

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@neon iron

neon iron Jan 23, 2022, 6:20 PM

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neon iron

Thanks a lot Sir.

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happy to help

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.close

topaz sinewBOT Jan 23, 2022, 6:21 PM

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polar bough Jan 23, 2022, 6:39 PM

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Hi guys, im having trouble with my homework, i need to find the two equation of straights passing through point P which are tangent to the circumference

topaz sinewBOT Jan 23, 2022, 6:39 PM

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polar bough Hi guys, im having trouble with my homework, i need to find the two equation of ...

neon iron Jan 23, 2022, 6:40 PM

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Have you tried anything?

polar bough Jan 23, 2022, 6:41 PM

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I tried to put the circumference equation and the general straight formule with P in it in a system
y - 1 = m(x -6)
x² + y² + 2x - 4 = 0

north orbit Jan 23, 2022, 6:43 PM

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What class is this for. Might help us to know

polar bough Jan 23, 2022, 6:44 PM

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im from italy im in 3rd year of high school

solemn wigeon Jan 23, 2022, 6:46 PM

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you should 1) complete the square so you can find the center of the circle

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you should use the fact that the normal slope to a circle would just be (y coordinate - circle y coordinate)/(x coordinate - circle center x coordinate)

polar bough Jan 23, 2022, 6:47 PM

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Oh no man i know what u are talking bout

solemn wigeon Jan 23, 2022, 6:47 PM

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then 3) you should use the normal slope equation (opposite recripocal) to find the tangent slope

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and then you are done

polar bough Jan 23, 2022, 6:47 PM

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Our teacher wants us to solve in another way

solemn wigeon Jan 23, 2022, 6:47 PM

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...

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and that is?

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oh wait is this a calc class?

polar bough Jan 23, 2022, 6:48 PM

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Wait ill send you a pic

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Ignore the italian words

solemn wigeon Jan 23, 2022, 6:48 PM

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or is it precalc

polar bough Jan 23, 2022, 6:48 PM

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The "Primo metodo" paragraph

solemn wigeon Jan 23, 2022, 6:49 PM

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sry man i dont know

neon iron Jan 23, 2022, 6:49 PM

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It's the same method.

polar bough Jan 23, 2022, 6:49 PM

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No, chad was talking bout the second one

neon iron Jan 23, 2022, 6:50 PM

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Umm... Can you translate if possible?

polar bough Jan 23, 2022, 6:50 PM

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Yea

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First method

We systematize the equation of the generic line for P (1; 5) with the equation of the given circumference:

numbers

By eliminating y between the two equations we obtain the solving equation of the system, in the unknown x

numbers

we impose the condition of tangency Delta = 0
We will have so

numbers

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Like i understood the process but i cant get the calc right

topaz sinewBOT Jan 23, 2022, 7:09 PM

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@polar bough Has your question been resolved?

topaz sinewBOT Jan 23, 2022, 7:24 PM

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rain lotus Jan 23, 2022, 7:50 PM

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hI

topaz sinewBOT Jan 23, 2022, 7:50 PM

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rain lotus hI

rain lotus Jan 23, 2022, 7:50 PM

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Hi*

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Screen_Shot_2022-01-23_at_2.48.32_PM.png

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Is there anyway I could find this without guessing and checking?

neon iron Jan 23, 2022, 7:52 PM

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please tell me how to solve this?

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<@&286206848099549185>

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@neon iron start another chanel, this one is occupied

topaz sinewBOT Jan 23, 2022, 8:06 PM

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@rain lotus Has your question been resolved?

grand cloud Jan 23, 2022, 8:10 PM

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umm what do you mean by guessing and checking

topaz sinewBOT Jan 23, 2022, 8:21 PM

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wild tapir Jan 23, 2022, 8:29 PM

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so i'm trying to solve part b to this question, i got the answer to part a as 5cos2x - 4sin2x + 2

topaz sinewBOT Jan 23, 2022, 8:29 PM

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wild tapir so i'm trying to solve part b to this question, i got the answer to part a as 5c...

wild tapir Jan 23, 2022, 8:29 PM

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for part b i tried to set this equal to 4 and then rearrange for tan but the +2 always got in the way, anyone got any ideas?

mortal thunder Jan 23, 2022, 8:37 PM

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wild tapir for part b i tried to set this equal to 4 and then rearrange for tan but the +2 ...

what...?

wild tapir Jan 23, 2022, 8:37 PM

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so for part a of the question

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i got 5cos2x - 4sin2x + 2, which i checked is correct

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and then for part b i used this same identity and set it equal to 4

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so 5cos2x - 4sin2x + 2 = 4

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and then i had no idea what to do, i tried to rearrange this to get it all under one trig function but i couldn't manage it

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<@&286206848099549185>

mortal thunder Jan 23, 2022, 8:51 PM

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Are you allowed calculator?

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@wild tapir

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considering how the question asks for answer upto 2 decimal places

wild tapir Jan 23, 2022, 8:51 PM

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yeah

mortal thunder Jan 23, 2022, 8:51 PM

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guessed as much

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okay

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so do you remember the formula for sin(A + B)?

wild tapir Jan 23, 2022, 8:52 PM

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yeah

mortal thunder Jan 23, 2022, 8:52 PM

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okay

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so

wild tapir Jan 23, 2022, 8:52 PM

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do i need to use that though? wouldn't that just get me to where i started

mortal thunder Jan 23, 2022, 8:52 PM

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nope

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just listen ...?

wild tapir Jan 23, 2022, 8:52 PM

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OHHH i know what to do now

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you're a genius ty

mortal thunder Jan 23, 2022, 8:52 PM

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XD

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divide the whole equation by sqrt(5^2 + 4^2)

wild tapir Jan 23, 2022, 8:53 PM

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.close

topaz sinewBOT Jan 23, 2022, 8:53 PM

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cosmic cedar Jan 23, 2022, 8:58 PM

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topaz sinewBOT Jan 23, 2022, 8:58 PM

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cosmic cedar

cosmic cedar Jan 23, 2022, 8:58 PM

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I did 300 * cos(25) and got 271.892336

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is it suppose to be in Kilo joules?

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or jouoles

topaz sinewBOT Jan 23, 2022, 9:13 PM

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@cosmic cedar Has your question been resolved?

grand cloud Jan 23, 2022, 9:22 PM

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Joules

topaz sinewBOT Jan 23, 2022, 9:28 PM

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vague dirge Jan 23, 2022, 9:35 PM

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topaz sinewBOT Jan 23, 2022, 9:35 PM

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vague dirge

vague dirge Jan 23, 2022, 9:35 PM

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i cant get the cdf

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i integrated it but

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i dont know how to get the result shown

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nvm got it

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.close

topaz sinewBOT Jan 23, 2022, 9:38 PM

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tall halo Jan 23, 2022, 10:18 PM

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I have a function f. So f: R → (0, ∞), defined by f(x) = e^x. I have to show it's injective or not. And surjective or not. I've showed that this is injective, so now I'm confused about how to show that it's either surjective or not surjective

topaz sinewBOT Jan 23, 2022, 10:18 PM

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tall halo I have a function f. So f: R → (0, ∞), defined by f(x) = e^x. I have to show it'...

tall halo Jan 23, 2022, 10:35 PM

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What do you mean?

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That's all I was given

honest hazel Jan 23, 2022, 10:47 PM

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do you know how to prove surjectivity in general ?

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@tall halo

topaz sinewBOT Jan 23, 2022, 10:52 PM

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@tall halo Has your question been resolved?

tall halo Jan 23, 2022, 11:03 PM

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honest hazel do you know how to prove surjectivity in general ?

Not so much

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He didn't go over it much and the textbook is confusing me

vital relic Jan 23, 2022, 11:17 PM

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@tall halo You show for any number in (0, infinity), e^x can equal that number for some x.

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Perhaps you can just use the log function to show this

tall halo Jan 23, 2022, 11:19 PM

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So I can choose any number (basically positive) to plug into x?

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I know that there's, let's say an a and b. f(a) = b. If this is true, then the function is surjective

neon iron Jan 23, 2022, 11:30 PM

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Maybe you can just use that exp is continuous and unbounded above

frozen perch Jan 23, 2022, 11:30 PM

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tall halo I know that there's, let's say an a and b. f(a) = b. If this is true, then the f...

the definition of surjectivity is: for every b in the codomain (in this case your codomain is (0,\infty)), you can find an a in the domain (in this case R) such that f(a) = b

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so the idea for any b in (0,\infty), you find some a in terms of b such that e^a = b

tall halo Jan 23, 2022, 11:37 PM

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Is there a way to show this?

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Or do I just use examples?

neon iron Jan 23, 2022, 11:38 PM

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What will be an acceptable way to show it really depends on what facts about the exponential function you can use

tall halo Jan 23, 2022, 11:40 PM

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Like using ln x?

neon iron Jan 23, 2022, 11:41 PM

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If you can assume ln as you know it exists, then yea that’s probably the easiest way

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There is some theory that goes into why ln is a mathematically valid function and this exercise would seem circular to me if you were allowed to use the fact that it exists

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If you can use the fact that ln exists then f is invertible so it’s injective and surjective

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Seems too cheaty

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Idk though, could use some more info on what has been covered in your course

tall halo Jan 23, 2022, 11:50 PM

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In my course

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Hmm

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Honestly

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I was just given what a function is when injective, surjective or bijective

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And then he just gave us pictures of each

neon iron Jan 23, 2022, 11:51 PM

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Is this an analysis class or something else?

tall halo Jan 23, 2022, 11:51 PM

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Abstract algebra

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I'm not sure why he teaches the way he does

neon iron Jan 23, 2022, 11:52 PM

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Oh ok you can probably use ln then

tall halo Jan 23, 2022, 11:52 PM

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Yeah

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Can I make a = ln(b)?

vital relic Jan 23, 2022, 11:52 PM

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Given any y in (0, infinity), ln y is in R.

Therefore the function can take on any value in (0, infinity) so it is surjective.

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That's it.

tall halo Jan 23, 2022, 11:53 PM

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Really?

neon iron Jan 23, 2022, 11:53 PM

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tall halo Can I make a = ln(b)?

Yea, assuming a and b are as Camilleone said

tall halo Jan 23, 2022, 11:54 PM

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And when I plug it into the function, I end up with b, which makes the function surjective

vital relic Jan 23, 2022, 11:54 PM

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vital relic Given any y in (0, infinity), ln y is in R. Therefore the function can take on ...

You can expand on this a bit and do as above

tall halo Jan 23, 2022, 11:54 PM

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vital relic Given any y in (0, infinity), ln y is in R. Therefore the function can take on ...

In this way, it's more of like the representation of it. Like if I wanted to picture it kind?

vital relic Jan 23, 2022, 11:54 PM

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making a = ln(b)

tall halo Jan 23, 2022, 11:54 PM

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Ah

vital relic Jan 23, 2022, 11:55 PM

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Given any y in (0, infinity), ln y is in R. Let x = ln y. Then y = e^x.

Therefore the function can take on any value in (0, infinity) so it is surjective.

tall halo Jan 23, 2022, 11:57 PM

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Thank you both very much

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I guess I just needed to see an example from the homework to understand subjectivity better

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You guys are the best🥺

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.close

topaz sinewBOT Jan 23, 2022, 11:58 PM

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topaz sinewBOT Jan 24, 2022, 2:45 AM

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stable totem Jan 24, 2022, 2:51 AM

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I dont know how to solve this task

Draw the parabola p:y=2x+1
a) Draw a line connecting this parabola
intersects at points A(1/3) and B(1.5/7).

topaz sinewBOT Jan 24, 2022, 2:51 AM

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stable totem I dont know how to solve this task Draw the parabola p:y=2x+1 a) Draw a line co...

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@stable totem Has your question been resolved?

topaz sinewBOT Jan 24, 2022, 3:50 AM

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@stable totem Has your question been resolved?

neon iron Jan 24, 2022, 4:10 AM

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ok

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i'll help

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are you still here?

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@stable totem

topaz sinewBOT Jan 24, 2022, 4:20 AM

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topaz sinewBOT Jan 24, 2022, 5:18 PM

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normal citrus Jan 24, 2022, 5:38 PM

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topaz sinewBOT Jan 24, 2022, 5:38 PM

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normal citrus

leaden tusk Jan 24, 2022, 5:40 PM

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what have you tried

normal citrus Jan 24, 2022, 5:41 PM

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I forgot the "definements" but whatever

leaden tusk Jan 24, 2022, 5:43 PM

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does $\int{\frac{\sin(x)}{x}}$ look familiar at all?

thorny flameBOT Jan 24, 2022, 5:43 PM

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a disappointing son

normal citrus Jan 24, 2022, 5:43 PM

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Absolutely not

leaden tusk Jan 24, 2022, 5:45 PM

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perhaps just $\frac{\sin(x)}{x}$?

thorny flameBOT Jan 24, 2022, 5:45 PM

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a disappointing son

leaden tusk Jan 24, 2022, 5:45 PM

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possibly learned something in class about this and its integral?

sweet shard Jan 24, 2022, 5:45 PM

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this problem can be hard for first time seeing integrals

vital relic Jan 24, 2022, 5:45 PM

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im clueless hmm

normal citrus Jan 24, 2022, 5:45 PM

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I'm quite clueless aswell

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My teacher assigned this as the "harder"part

leaden tusk Jan 24, 2022, 5:46 PM

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probably because it doesn't have an elementary answer

normal citrus Jan 24, 2022, 5:46 PM

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And why is that

vital relic Jan 24, 2022, 5:46 PM

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i thought it was graph sketch smh

leaden tusk Jan 24, 2022, 5:46 PM

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none of our normal integration techniques work

sweet shard Jan 24, 2022, 5:47 PM

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normal citrus My teacher assigned this as the "harder"part

Rude teacher

leaden tusk Jan 24, 2022, 5:47 PM

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honestly lmao

normal citrus Jan 24, 2022, 5:47 PM

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Sometimes

leaden tusk Jan 24, 2022, 5:47 PM

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what class is this for

sweet shard Jan 24, 2022, 5:47 PM

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There's a complicated multivariate way

vital relic Jan 24, 2022, 5:47 PM

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wait this thing aint fripping 0 either?

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?????

sweet shard Jan 24, 2022, 5:47 PM

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And a trivial complex analysis way

vital relic Jan 24, 2022, 5:48 PM

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wait are u guys saying this aint doable

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elementary

leaden tusk Jan 24, 2022, 5:48 PM

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yes

vital relic Jan 24, 2022, 5:48 PM

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...........

normal citrus Jan 24, 2022, 5:48 PM

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I'm so confused rn lol

sweet shard Jan 24, 2022, 5:48 PM

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But I don't know a single variable calculus way

leaden tusk Jan 24, 2022, 5:48 PM

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you can express it as a power series lmao

vital relic Jan 24, 2022, 5:48 PM

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normal citrus I'm so confused rn lol

whats your class

leaden tusk Jan 24, 2022, 5:48 PM

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leaden tusk what class is this for

agreed

normal citrus Jan 24, 2022, 5:48 PM

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I'm from Sweden

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This one is called "Math 4"

vital relic Jan 24, 2022, 5:48 PM

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you have to do series

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=.=

leaden tusk Jan 24, 2022, 5:48 PM

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what year uni

normal citrus Jan 24, 2022, 5:49 PM

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I'm 17

leaden tusk Jan 24, 2022, 5:49 PM

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bro what

sweet shard Jan 24, 2022, 5:49 PM

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normal citrus This one is called "Math 4"

Names of courses are meaningless. What topics are on the syllabus

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Jesus christ

leaden tusk Jan 24, 2022, 5:49 PM

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what kind of teacher

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???

sweet shard Jan 24, 2022, 5:49 PM

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Power series and term-by-term integration works. But is the answer obvious from the series?

vital relic Jan 24, 2022, 5:50 PM

#

,w integrate (sin x) / x

#

pfff

sweet shard Jan 24, 2022, 5:50 PM

#

Lol

normal citrus Jan 24, 2022, 5:50 PM

#

Si?

sweet shard Jan 24, 2022, 5:50 PM

#

normal citrus Si?

Yes

vital relic Jan 24, 2022, 5:50 PM

#

Non-elementary function

normal citrus Jan 24, 2022, 5:50 PM

#

Huh

#

Never heard of it

leaden tusk Jan 24, 2022, 5:51 PM

#

not surprising lol

vital relic Jan 24, 2022, 5:51 PM

#

Can you do series expansion?

#

You learnt?

normal citrus Jan 24, 2022, 5:51 PM

#

Nope

vital relic Jan 24, 2022, 5:51 PM

#

If yes, at least you can do the question

#

wtf???

leaden tusk Jan 24, 2022, 5:51 PM

#

what integration techniques do you know

vital relic Jan 24, 2022, 5:51 PM

#

Your teacher made a mistake then

#

this is bs

leaden tusk Jan 24, 2022, 5:51 PM

#

not that they help here but i'm curious

normal citrus Jan 24, 2022, 5:52 PM

#

leaden tusk what integration techniques do you know

Partial integration, substitution and some trigonometric identities

leaden tusk Jan 24, 2022, 5:52 PM

#

damn lmao

vital relic Jan 24, 2022, 5:53 PM

#

Ok, then here's the answer to your question

#

,w integrate from 0 to pi ((sin x) / x)

leaden tusk Jan 24, 2022, 5:53 PM

#

yeah your teacher either goofed or is borderline insane

vital relic Jan 24, 2022, 5:53 PM

#

Just walk to next lesson with this

#

oops

frosty imp Jan 24, 2022, 5:53 PM

#

lol

vital relic Jan 24, 2022, 5:53 PM

#

,w integrate from 0 to pi ((sin x) / (2x))

thorny flameBOT Jan 24, 2022, 5:53 PM

#

Results provided by WolframAlpha

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

vital relic Jan 24, 2022, 5:53 PM

#

@normal citrus Here

sweet shard Jan 24, 2022, 5:54 PM

#

Yea fuck your teacher

#

This reminds me of the time my linear algebra instructor, who was a grad student, told us to disprove Fermat's Last Theorem

normal citrus Jan 24, 2022, 5:55 PM

#

Well thanks guys

sweet shard Jan 24, 2022, 5:55 PM

#

Fuck that guy

leaden tusk Jan 24, 2022, 5:55 PM

#

lmfao

normal citrus Jan 24, 2022, 5:55 PM

#

.close

topaz sinewBOT Jan 24, 2022, 5:55 PM

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neon iron Jan 24, 2022, 6:28 PM

#

Is it possible for upper bound of integral to be less than lower bound?

topaz sinewBOT Jan 24, 2022, 6:28 PM

#

neon iron Is it possible for upper bound of integral to be less than lower bound?

wooden matrix Jan 24, 2022, 6:29 PM

#

No

neon iron Jan 24, 2022, 6:29 PM

#

Like I was solving an integral.
$$\int_0^{\frac{\pi}{3}} \sin(x) \ln(\cos(x)) dx$$

thorny flameBOT Jan 24, 2022, 6:29 PM

#

wooden matrix Jan 24, 2022, 6:29 PM

#

oh you mean bounds of integration

#

yes

neon iron Jan 24, 2022, 6:29 PM

#

Is it possible?

wooden matrix Jan 24, 2022, 6:29 PM

#

yes

neon iron Jan 24, 2022, 6:30 PM

#

Umm... But how?

wooden matrix Jan 24, 2022, 6:30 PM

#

how what?

#

$\int_a^b=-\int_b^a$

thorny flameBOT Jan 24, 2022, 6:30 PM

#

Mosh

neon iron Jan 24, 2022, 6:30 PM

#

thorny flame **Mosh**

Oh okay

#

Thanks

wooden matrix Jan 24, 2022, 6:31 PM

#

Could have googled that btw.

neon iron Jan 24, 2022, 6:31 PM

#

wooden matrix Could have googled that btw.

I thought I was doing some mistakes.

#

.close

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topaz sinewBOT Jan 24, 2022, 7:18 PM

#

glacial kite Jan 24, 2022, 7:28 PM

#

I shall just ask this in dynamical systems, gonna delete it.

#

.close

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#

potent venture Jan 24, 2022, 7:30 PM

#

Can someone help with this question? Im not sure where to even begin

topaz sinewBOT Jan 24, 2022, 7:43 PM

#

Channel closed

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potent venture Jan 24, 2022, 7:43 PM

#

.close

topaz sinewBOT Jan 24, 2022, 7:44 PM

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#

thorny flameBOT Jan 24, 2022, 7:55 PM

#

Borre

normal citrus Jan 24, 2022, 7:55 PM

#

I do know how to use partial integration but now it's a function in the exponent and I'm lost

topaz sinewBOT Jan 24, 2022, 7:58 PM

#

Channel closed

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normal citrus Jan 24, 2022, 7:58 PM

#

.reopen

#

$\int xe^{2x+3}dx$

thorny flameBOT Jan 24, 2022, 7:59 PM

#

Borre

normal citrus Jan 24, 2022, 8:00 PM

#

Here we go again I guess

topaz sinewBOT Jan 25, 2022, 2:58 AM

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serene quiver Jan 25, 2022, 3:06 AM

#

topaz sinewBOT Jan 25, 2022, 3:06 AM

#

serene quiver

serene quiver Jan 25, 2022, 3:06 AM

#

Im having struggle finding the right u and du

#

I thought it was x^2 for u

#

Then 2x for du, but how would i get to

#

Oh

wooden matrix Jan 25, 2022, 3:07 AM

#

it is

serene quiver Jan 25, 2022, 3:07 AM

#

Multiply it by 3/2

#

So 3/2 du

#

Yeah?

#

3/2du = 5x dx?

wooden matrix Jan 25, 2022, 3:07 AM

#

3?

serene quiver Jan 25, 2022, 3:07 AM

#

Wait

#

5/2

wooden matrix Jan 25, 2022, 3:07 AM

#

yes

serene quiver Jan 25, 2022, 3:07 AM

#

Im so dumb

#

Shit thanks lmao

#

.close

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valid rampart Jan 25, 2022, 4:03 AM

#

Stuck on how to calculate the partial sum. Calculator is not working.

topaz sinewBOT Jan 25, 2022, 4:03 AM

#

valid rampart Stuck on how to calculate the partial sum. Calculator is not working.

#

@valid rampart Has your question been resolved?

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small seal Jan 25, 2022, 4:25 AM

#

'

topaz sinewBOT Jan 25, 2022, 4:25 AM

#

small seal '

small seal Jan 25, 2022, 4:25 AM

#

im doing calc limits

#

it says to take the reciprocal to simplify but I'm not sure how they are getting the answer they get

#

from my understanding reciprocal meant just flipping a fraction around

leaden tusk Jan 25, 2022, 4:28 AM

#

so do that

#

$\frac{.11}{1}$

#

flip it

thorny flameBOT Jan 25, 2022, 4:28 AM

#

a disappointing son

small seal Jan 25, 2022, 4:28 AM

#

how does that become 7.1429 though

#

thats whats throwing me off

leaden tusk Jan 25, 2022, 4:29 AM

#

uhh

#

it doesn't

small seal Jan 25, 2022, 4:29 AM

#

#

tell me im not crazy

#

#

am i wrong or did they pull that shit out of thin air

#

bro i am so dumbn

#

close

#

idk how to close

#

.close

topaz sinewBOT Jan 25, 2022, 4:38 AM

#

Channel closed

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neon iron Jan 25, 2022, 4:54 AM

#

topaz sinewBOT Jan 25, 2022, 4:54 AM

#

neon iron

neon iron Jan 25, 2022, 5:00 AM

#

please explain it to me i will be back in about 5 - 10 minutes

#

<@&268886789983436800> academic dishonesty

vapid lichen Jan 25, 2022, 5:03 AM

#

@neon iron is this a test?

neon iron Jan 25, 2022, 5:12 AM

#

im back, and no this is homework

#

i got it just needed a little bit of research thanks guys

#

.close

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topaz sinewBOT Jan 25, 2022, 6:16 AM

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gray basin Jan 25, 2022, 6:58 AM

#

topaz sinewBOT Jan 25, 2022, 6:58 AM

#

gray basin

winged forge Jan 25, 2022, 7:02 AM

#

Use the cos ratio to find the hypotnuse of the big triangle

hard crown Jan 25, 2022, 7:02 AM

#

^

gray basin Jan 25, 2022, 7:02 AM

#

Ok

restive inlet Jan 25, 2022, 7:03 AM

#

that isn't needed

winged forge Jan 25, 2022, 7:03 AM

#

then use sin ratio to find the angle

gray basin Jan 25, 2022, 7:03 AM

#

I’m confused

restive inlet Jan 25, 2022, 7:04 AM

#

there is much better trig function that can be used

winged forge Jan 25, 2022, 7:04 AM

#

really?

#

does my way work at least?

gray basin Jan 25, 2022, 7:06 AM

#

Okay let me try

drifting swift Jan 25, 2022, 7:07 AM

#

it's a little insidious that the point with the right angle is given no name

gray basin Jan 25, 2022, 7:10 AM

#

I didn’t get it

sweet shard Jan 25, 2022, 7:10 AM

#

fixed

drifting swift Jan 25, 2022, 7:11 AM

#

sully

gray basin Jan 25, 2022, 7:11 AM

#

So what do I do

drifting swift Jan 25, 2022, 7:11 AM

#

#

look at this diagram

#

do you see this diagram? Y/N

gray basin Jan 25, 2022, 7:11 AM

#

Y

drifting swift Jan 25, 2022, 7:12 AM

#

can you name some right triangles in this diagram?

#

there are two of them here.

#

i would like you to name them.

gray basin Jan 25, 2022, 7:13 AM

#

There’s a scalene and right-angled triangle

drifting swift Jan 25, 2022, 7:13 AM

#

no, that's not what i'm asking you to do.

#

i'm asking you to name the two right triangles present in this picture,
not just describe them by type

#

if you were asked to name a person you would rather say "Frank" than "a tall man" wouldn't you?

gray basin Jan 25, 2022, 7:14 AM

#

Yes.

drifting swift Jan 25, 2022, 7:15 AM

#

so

#

give me the name of one of the right triangles in the picture.

gray basin Jan 25, 2022, 7:15 AM

#

There is one ‘orthogonal triangle’.

drifting swift Jan 25, 2022, 7:16 AM

#

give me

#

the

#

NAME

#

do you know how to name a triangle? Y/N

gray basin Jan 25, 2022, 7:16 AM

#

Y

drifting swift Jan 25, 2022, 7:17 AM

#

okay, tell me how to name a triangle.

gray basin Jan 25, 2022, 7:17 AM

#

The right angled triangle is CDB

drifting swift Jan 25, 2022, 7:17 AM

#

...that is one of the right triangles in the picture, yes.

#

you'vev given a name finally

gray basin Jan 25, 2022, 7:18 AM

#

And the other is ACB

drifting swift Jan 25, 2022, 7:18 AM

#

great.

#

er

#

no.

#

ACB is not a right triangle.

gray basin Jan 25, 2022, 7:18 AM

#

CAB

drifting swift Jan 25, 2022, 7:18 AM

#

that's the same triangle as ACB...

#

in this context, putting the vertices in a different order makes no difference

gray basin Jan 25, 2022, 7:19 AM

#

BAC

drifting swift Jan 25, 2022, 7:19 AM

#

are you being dense on purpose here

gray basin Jan 25, 2022, 7:20 AM

#

?

drifting swift Jan 25, 2022, 7:20 AM

#

immediately after i say

in this context, putting the vertices in a different order makes no difference

#

you put the vertices A, B and C in yet another order

#

hoping, apparently, that this time you'll get it right

gray basin Jan 25, 2022, 7:20 AM

#

Oh right

drifting swift Jan 25, 2022, 7:21 AM

#

you have named CDB as one of the two right-angled triangles in the picture.

#

what's the other one?

gray basin Jan 25, 2022, 7:21 AM

#

BDA

drifting swift Jan 25, 2022, 7:21 AM

#

great.

#

so you have two triangles

#

CDB and BDA

gray basin Jan 25, 2022, 7:21 AM

#

Okay

drifting swift Jan 25, 2022, 7:22 AM

#

can you write out what data is known for each triangle?

gray basin Jan 25, 2022, 7:23 AM

#

They are both right- angled triangles

drifting swift Jan 25, 2022, 7:23 AM

#

thank you captain obvious

#

if you're going to say something as trivial as that, then at least say which angle in each of them is the right angle.

gray basin Jan 25, 2022, 7:24 AM

#

Oh yeah triangle BDA has one angle as 39 degrees

drifting swift Jan 25, 2022, 7:24 AM

#

which angle?

gray basin Jan 25, 2022, 7:25 AM

#

Angle A

drifting swift Jan 25, 2022, 7:25 AM

#

okay

#

so we know angle A = 39°

#

is that all we know about triangle ABD?

gray basin Jan 25, 2022, 7:25 AM

#

No

drifting swift Jan 25, 2022, 7:25 AM

#

really? so we know nothing else about it?

#

ok, so what else do we know?

gray basin Jan 25, 2022, 7:26 AM

#

It’s third angle is 51 degrees( angle b)

drifting swift Jan 25, 2022, 7:26 AM

#

angle B, not b. math is case-sensitive.

gray basin Jan 25, 2022, 7:26 AM

#

Ok

drifting swift Jan 25, 2022, 7:26 AM

#

and that's not given, but sure.

#

what else do we know about triangle ABD?

#

again, look at the diagram

#

all i'm asking you to do here is read off what's given.

#

no calculations.

#

just reading.

gray basin Jan 25, 2022, 7:27 AM

#

The base length is 15.9m

drifting swift Jan 25, 2022, 7:27 AM

#

what is "the base length"?

#

is this the length of a side? if so, which side?

gray basin Jan 25, 2022, 7:27 AM

#

Side ad

drifting swift Jan 25, 2022, 7:28 AM

#

math is case-sensitive

gray basin Jan 25, 2022, 7:28 AM

#

Side AD

drifting swift Jan 25, 2022, 7:28 AM

#

please read and understand everything i say.

#

preferably, please do so the first time round.

gray basin Jan 25, 2022, 7:28 AM

#

Ok

drifting swift Jan 25, 2022, 7:28 AM

#

okay

#

now

#

what part of triangle ABD are we looking for?

#

i.e. what is asked for in part (a) of the problem?

#

again, no calculations, only reading.

gray basin Jan 25, 2022, 7:30 AM

#

What is the width w of triangle ADB

drifting swift Jan 25, 2022, 7:30 AM

#

yes, w is what's asked for.

#

so

#

to bring that all back together

#

we have
a right triangle ADB, with D as the right angle
in which:
the angle A = 39° is known
the side AD = 19.5 is known
the side DB = w is sought

#

can you write down a trigonometric ratio statement relating these three quantities?

gray basin Jan 25, 2022, 7:32 AM

#

Angle A might be useful here

#

Ok I think I just got the answer

#

I got it thank you

#

For your help

#

I understood how to do it

#

.close

topaz sinewBOT Jan 25, 2022, 7:33 AM

#

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idle spruce Jan 25, 2022, 8:15 AM

#

hi just a quick question on twiddle in relation statements

topaz sinewBOT Jan 25, 2022, 8:15 AM

#

idle spruce hi just a quick question on twiddle in relation statements

idle spruce Jan 25, 2022, 8:15 AM

#

is twiddle always an equivalence

#

~

#

i guess i should say is twiddle always an equivalence with a condition

topaz sinewBOT Jan 25, 2022, 8:30 AM

#

@idle spruce Has your question been resolved?

topaz sinewBOT Jan 25, 2022, 8:45 AM

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Channel closed

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idle spruce Jan 25, 2022, 8:46 AM

#

.reopen

topaz sinewBOT Jan 25, 2022, 8:46 AM

#

✅

idle spruce Jan 25, 2022, 8:46 AM

#

<@&286206848099549185>

viscid thistle Jan 25, 2022, 8:48 AM

#

question

maiden adder Jan 25, 2022, 8:56 AM

#

idle spruce is twiddle always an equivalence

if you're reading it from a keyboard-typed text, then it may also mean negation, but it's most likely an equivalence relation

#

$$\verb|~| A \leftarrow \text{may be negation}$$
$$A \verb|~| B \leftarrow \text{most likely equivalence relation}$$

thorny flameBOT Jan 25, 2022, 8:59 AM

#

Khazali

topaz sinewBOT Jan 25, 2022, 9:01 AM

#

@idle spruce Has your question been resolved?

topaz sinewBOT Jan 25, 2022, 9:16 AM

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jaunty valley Jan 25, 2022, 11:06 AM

#

Dose anyone know what is Bases in Japanese? <@&286206848099549185>

topaz sinewBOT Jan 25, 2022, 11:06 AM

#

jaunty valley Dose anyone know what is Bases in Japanese? <@&286206848099549185>

#

@jaunty valley Has your question been resolved?

topaz sinewBOT Jan 25, 2022, 11:58 AM

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@jaunty valley Has your question been resolved?

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livid scarab Jan 25, 2022, 12:25 PM

#

is there a formula for this summation?

5^0 + 5^1 + 5^2 + 5^3 + 5^4 + 5^(k-1) + 5^k

topaz sinewBOT Jan 25, 2022, 12:25 PM

#

livid scarab is there a formula for this summation? ``` 5^0 + 5^1 + 5^2 + 5^3 + 5^4 + 5^(k-1...

restive inlet Jan 25, 2022, 12:26 PM

#

yes

livid scarab Jan 25, 2022, 12:28 PM

#

restive inlet yes

what is it

restive inlet Jan 25, 2022, 12:29 PM

#

you can view this as a geometric series

livid scarab Jan 25, 2022, 12:30 PM

#

but what is the formula

restive inlet Jan 25, 2022, 12:33 PM

#

try looking up formula for geometric series

topaz sinewBOT Jan 25, 2022, 12:45 PM

#

@livid scarab Has your question been resolved?

livid scarab Jan 25, 2022, 12:45 PM

#

restive inlet try looking up formula for geometric series

i can't find the one for mine

restive inlet Jan 25, 2022, 12:46 PM

#

were you able to find a general formula when looking up geometric series

livid scarab Jan 25, 2022, 12:47 PM

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ya

restive inlet Jan 25, 2022, 12:48 PM

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what did you find

livid scarab Jan 25, 2022, 12:49 PM

#

#

this one

restive inlet Jan 25, 2022, 12:50 PM

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try and identify the three things listed at the bottom

livid scarab Jan 25, 2022, 12:54 PM

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restive inlet try and identify the three things listed at the bottom

what if it was something like this:

5^0 * 7^k + 5^1 * 7^(k-1) + 5^2 * 7^(k-2) + 5^3 * 7^(k-3) + 5^4 * 7^(k-4) + 5^(k-1) * 7^(k-k+1) + 5^k * 7^(k-k)

restive inlet Jan 25, 2022, 12:55 PM

#

same idea

livid scarab Jan 25, 2022, 12:56 PM

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but we would just use the formula twice ?

#

formula * formula

keen venture Jan 25, 2022, 12:57 PM

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That's multiplying by 5/7 every time

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Where the first term is 7^k

livid scarab Jan 25, 2022, 1:02 PM

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not sure what common ratio is for r

livid scarab Jan 25, 2022, 1:18 PM

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keen venture That's multiplying by 5/7 every time

i got 5/7 as the common ratio

keen venture Jan 25, 2022, 1:22 PM

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Ye

livid scarab Jan 25, 2022, 1:25 PM

#

$\frac{a_1\left(1-r^n\right)}{1-r}=\frac{5^0\cdot 7^k\left(1-\frac{5}{7}^k\right)}{1-\frac{5}{7}}$

thorny flameBOT Jan 25, 2022, 1:25 PM

#

The-Elite

livid scarab Jan 25, 2022, 1:25 PM

#

is this right ? @keen venture @restive inlet

restive inlet Jan 25, 2022, 1:30 PM

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not quite

livid scarab Jan 25, 2022, 1:30 PM

#

n = k right ?

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a_1 is 5^0 * 7^k

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r = 5/7

restive inlet Jan 25, 2022, 1:31 PM

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note that the exponents go from 0→k (and k→0)
so you actually have k+1 terms

#

and you should also have parentheses when raising your r to a certain power

livid scarab Jan 25, 2022, 1:31 PM

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oh

#

$\frac{a_1\left(1-r^n\right)}{1-r}=\frac{5^0\cdot 7^{\left(k+1\right)}\left(1-\frac{5}{7}^{\left(k+1\right)}\right)}{1-\frac{5}{7}}$

thorny flameBOT Jan 25, 2022, 1:32 PM

#

The-Elite

livid scarab Jan 25, 2022, 1:32 PM

#

restive inlet and you should also have parentheses when raising your r to a certain power

that look good ?

restive inlet Jan 25, 2022, 1:32 PM

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no

livid scarab Jan 25, 2022, 1:32 PM

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but i added k+1

restive inlet Jan 25, 2022, 1:32 PM

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the first term is still 5^0*7^k, that part was fine

livid scarab Jan 25, 2022, 1:33 PM

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oh

restive inlet Jan 25, 2022, 1:33 PM

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and parentheses are needed around the (5/7)

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not the power

livid scarab Jan 25, 2022, 1:33 PM

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oh

#

$\frac{a_1\left(1-r^n\right)}{1-r}=\frac{5^0\cdot 7^k\left(1-\left(\frac{5}{7}\right)^{k+1}\right)}{1-\frac{5}{7}}$

thorny flameBOT Jan 25, 2022, 1:33 PM

#

The-Elite

restive inlet Jan 25, 2022, 1:33 PM

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yes

livid scarab Jan 25, 2022, 1:34 PM

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thanks

topaz sinewBOT Jan 25, 2022, 2:04 PM

#

@livid scarab Has your question been resolved?

#

Channel closed

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weak jay Jan 25, 2022, 2:05 PM

#

livid scarab $\frac{a_1\left(1-r^n\right)}{1-r}=\frac{5^0\cdot 7^{\left(k+1\right)}\left(1-\f...

Bro what the hell is this

topaz sinewBOT Jan 25, 2022, 2:06 PM

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livid scarab Jan 25, 2022, 2:07 PM

#

weak jay Bro what the hell is this

latex

topaz sinewBOT Jan 25, 2022, 2:07 PM

#

livid scarab latex

keen venture Jan 25, 2022, 2:08 PM

#

#latex-help

topaz sinewBOT Jan 25, 2022, 2:22 PM

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iron mica Jan 25, 2022, 2:41 PM

#

topaz sinewBOT Jan 25, 2022, 2:41 PM

#

iron mica

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@iron mica Has your question been resolved?

iron mica Jan 25, 2022, 2:57 PM

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<@&286206848099549185>

iron mica Jan 25, 2022, 3:13 PM

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.close

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topaz sinewBOT Jan 25, 2022, 3:36 PM

#

livid scarab Jan 25, 2022, 3:37 PM

#

$\frac{\left(\left(7n-5^{\left(k+1\right)}\right)\right)}{2}$

thorny flameBOT Jan 25, 2022, 3:37 PM

#

The-Elite

topaz sinewBOT Jan 25, 2022, 3:37 PM

#

Channel closed

Closed due to the original message being deleted

livid scarab Jan 25, 2022, 3:37 PM

#

I have an assumption that 7^k = n

#

I want to make the base 5 in 5^(k+1) into a base 7

#

but not sure how to

keen venture Jan 25, 2022, 3:38 PM

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7^[log7(5)(k+1)]

worthy lake Jan 25, 2022, 3:38 PM

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u could use logs

keen venture Jan 25, 2022, 3:39 PM

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Where log7(5) is the logarithm, base 7, of 5

livid scarab Jan 25, 2022, 3:39 PM

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$\log _7\left(5\right)^{k+1}$

thorny flameBOT Jan 25, 2022, 3:40 PM

#

The-Elite

livid scarab Jan 25, 2022, 3:40 PM

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like that ?

#

$7^{\log :_7\left(5\right)^{k+1}}$

thorny flameBOT Jan 25, 2022, 3:40 PM

#

The-Elite

livid scarab Jan 25, 2022, 3:40 PM

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sorry this

keen venture Jan 25, 2022, 3:41 PM

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$7^{\log_7(5)(k+1)}$

thorny flameBOT Jan 25, 2022, 3:41 PM

#

Kaynex

livid scarab Jan 25, 2022, 3:41 PM

#

oh

keen venture Jan 25, 2022, 3:41 PM

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Note the k+1 can be put as an exponent into the log, then the logs cancel

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Giving 5^(k+1) back

livid scarab Jan 25, 2022, 3:42 PM

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what do you mean

#

I don't understand

#

could you show it using TEX

topaz sinewBOT Jan 25, 2022, 3:46 PM

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livid scarab Jan 25, 2022, 3:58 PM

#

keen venture 7^[log7(5)(k+1)]

how did you know this ? Is there a formula

topaz sinewBOT Jan 25, 2022, 3:58 PM

#

livid scarab how did you know this ? Is there a formula

livid scarab Jan 25, 2022, 3:58 PM

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or rule

topaz sinewBOT Jan 25, 2022, 4:13 PM

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@livid scarab Has your question been resolved?

gusty pasture Jan 25, 2022, 4:38 PM

#

hi im new

acoustic tangle Jan 25, 2022, 4:47 PM

#

livid scarab how did you know this ? Is there a formula

$5 = 7^{\log_7{5}} \implies 5^{k + 1} = 7^{\log_7{5}(k + 1)}$

thorny flameBOT Jan 25, 2022, 4:47 PM

#

Beans

livid scarab Jan 25, 2022, 4:54 PM

#

thorny flame **Beans**

th

#

thx

livid scarab Jan 25, 2022, 4:54 PM

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restive inlet yes

do you know if there another formula for this ?

livid scarab Jan 25, 2022, 5:18 PM

#

$\frac{\left(\left(7n-5^k\cdot ::5\right)\right)}{2}$

thorny flameBOT Jan 25, 2022, 5:18 PM

#

The-Elite

livid scarab Jan 25, 2022, 5:18 PM

#

anyway to remove the denominator ?

topaz sinewBOT Jan 25, 2022, 5:48 PM

#

@livid scarab Has your question been resolved?

livid scarab Jan 25, 2022, 6:12 PM

#

$\frac{\left(\left(7n-5^k\cdot ::5\right)\right)}{2}$

thorny flameBOT Jan 25, 2022, 6:12 PM

#

The-Elite

livid scarab Jan 25, 2022, 6:12 PM

#

anyway to remove the denominator ?

lean yacht Jan 25, 2022, 6:22 PM

#

multiply by 2?

livid scarab Jan 25, 2022, 6:28 PM

#

lean yacht multiply by 2?

where ?

topaz sinewBOT Jan 25, 2022, 7:28 PM

#

@livid scarab Has your question been resolved?

topaz sinewBOT Jan 25, 2022, 8:28 PM

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neon iron Jan 25, 2022, 9:00 PM

#

anyone see whats wrong here

topaz sinewBOT Jan 25, 2022, 9:00 PM

#

neon iron anyone see whats wrong here

neon iron Jan 25, 2022, 9:02 PM

#

topaz sinewBOT Jan 25, 2022, 9:17 PM

#

@neon iron Has your question been resolved?

leaden tusk Jan 25, 2022, 9:22 PM

#

neon iron anyone see whats wrong here

i'll be honest i have no idea the answer but seeing as nobody else is responding, going off the pattern i see, the first one seems incorrect

neon iron Jan 25, 2022, 9:22 PM

#

why

leaden tusk Jan 25, 2022, 9:23 PM

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wait sorry meant the second one lol

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essentially no basis i'm just looking at the arrows

neon iron Jan 25, 2022, 9:25 PM

#

still wrong

topaz sinewBOT Jan 25, 2022, 9:32 PM

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jagged glen Jan 25, 2022, 9:52 PM

#

x^3-2x^2-x+2 / x-1

topaz sinewBOT Jan 25, 2022, 9:52 PM

#

jagged glen ```x^3-2x^2-x+2 / x-1```

empty sail Jan 25, 2022, 9:54 PM

#

jagged glen ```x^3-2x^2-x+2 / x-1```

What exactly are you stuck on?

jagged glen Jan 25, 2022, 9:55 PM

#

got to x^2 - x then dont know what to do to get -2 at the end

topaz sinewBOT Jan 25, 2022, 10:10 PM

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@jagged glen Has your question been resolved?

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lapis flame Jan 25, 2022, 10:15 PM

#

trying to find general formula for projectile motion given an initial vector but this looks wrong and I can't figure out the right way to do it

topaz sinewBOT Jan 25, 2022, 10:15 PM

#

lapis flame trying to find general formula for projectile motion given an initial vector but...

lapis flame Jan 25, 2022, 10:15 PM

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a would be x velocity and b would be y velocity

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seems wrong because 0 should be a zero of the parabola

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wait I might be dumb zero might be a zero and I might just be wrong gimmie a minute

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wait wait no it's not

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okay so I actually do need help, I feel like that b/100 should be squared or something, because otherwise f(0) != 0

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and if for some reason I change it to b^2 it miraculously works???

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???????

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Like, I'm elated that it works but I'm really confused

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like, this is beautiful to finally see but why is it b^2???

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OOOOOOHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH
I found it

#

.close

topaz sinewBOT Jan 25, 2022, 10:27 PM

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Channel closed

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golden falcon Jan 25, 2022, 10:38 PM

#

,tex $\int_\frac{-\sqrt{3}}{2}^0 \frac{1}{2}x - x\sqrt{1-x^2}+ \int_0^\frac{\sqrt{3}}{2} x\sqrt{1-x^2} - \frac{1}{2}x$

topaz sinewBOT Jan 25, 2022, 10:38 PM

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golden falcon ,tex $\int_\frac{-\sqrt{3}}{2}^0 \frac{1}{2}x - x\sqrt{1-x^2}+ \int_0^\frac{\sqr...

thorny flameBOT Jan 25, 2022, 10:42 PM

#

life improver 912839

golden falcon Jan 25, 2022, 10:44 PM

#

Okay so I know how to find areas from these sorts of equations (I think) but I am stuck trying to simplify $\frac{1}{2}x - x\sqrt{1-x^2}$

thorny flameBOT Jan 25, 2022, 10:44 PM

#

life improver 912839

golden falcon Jan 25, 2022, 10:46 PM

#

I found the boundaries of the shaded region from a graph as well as set up the equation, but I am not sure how to simplify from here so that I can find the antiderivative of each side in order to plug in my boundaries and solve

#

#

Here is the problem as well because it is possible I've already made a miscalculation

sweet shard Jan 25, 2022, 10:55 PM

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Why do you need to simplify it

golden falcon Jan 25, 2022, 10:56 PM

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I'm unsure how to take the antiderivative of a square root that has an expression or exponent in it

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Also the fact that the square root is multiplied by x throws me off

wooden matrix Jan 25, 2022, 10:57 PM

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the fact it's xsqrt(1-x^2) makes it easier.

golden falcon Jan 25, 2022, 10:58 PM

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Well xsqrt(x) is simply x if im not wrong

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so would xsqrt(x^2) be x^2

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Oh crap I am wrong

wooden matrix Jan 25, 2022, 10:59 PM

#

$\int x\sqrt{1-x^2}\dd{x}$

thorny flameBOT Jan 25, 2022, 10:59 PM

#

Mosh

golden falcon Jan 25, 2022, 11:00 PM

#

With the power rule the antiderivative of $x = \frac{x^2}{2}$

thorny flameBOT Jan 25, 2022, 11:00 PM

#

life improver 912839

golden falcon Jan 25, 2022, 11:01 PM

#

And $\sqrt{1-x^2}$ can be rewritten as $(1-x^2)^\frac{1}{2}$

wooden matrix Jan 25, 2022, 11:01 PM

#

yes.

thorny flameBOT Jan 25, 2022, 11:01 PM

#

life improver 912839

wooden matrix Jan 25, 2022, 11:01 PM

#

both of those things are true

#

the prior less helpful.

golden falcon Jan 25, 2022, 11:03 PM

#

So with the power rule $(1-x^2)^\frac{1}{2}$ the antiderivative is $3\frac{(1-x^2)^\frac{3}{2}}{2}$

thorny flameBOT Jan 25, 2022, 11:03 PM

#

life improver 912839

sweet shard Jan 25, 2022, 11:04 PM

#

You need to use substitution first.

golden falcon Jan 25, 2022, 11:04 PM

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Ah

sweet shard Jan 25, 2022, 11:05 PM

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Try taking the derivative of your expression with chain rule to see why it's wrong. You're close, just fix minor details

golden falcon Jan 25, 2022, 11:09 PM

#

$u = 1-x^2$, so the antiderivative of $x(1-x^2)^\frac{1}{2}$ is $x\frac{(3u)^\frac{3}{2}}{2} + C$

#

The x has not been antiderived yet

thorny flameBOT Jan 25, 2022, 11:10 PM

#

life improver 912839

sweet shard Jan 25, 2022, 11:10 PM

#

I think you need to go back and review your substitution for integrals

golden falcon Jan 25, 2022, 11:10 PM

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Okay

sweet shard Jan 25, 2022, 11:12 PM

#

https://www.khanacademy.org/math/ap-calculus-ab/ab-integration-new/ab-6-9/a/review-applying-u-substitution

Khan Academy

𝘶-substitution (article) | Khan Academy

𝘶-Substitution essentially reverses the chain rule for derivatives. In other words, it helps us integrate composite functions.

topaz sinewBOT Jan 25, 2022, 11:25 PM

#

@golden falcon Has your question been resolved?

golden falcon Jan 25, 2022, 11:26 PM

#

#

This is what I've got now

#

Sorry if it's confusing I have limited space probably should rewrite it on a different page

topaz sinewBOT Jan 25, 2022, 11:40 PM

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topaz sinewBOT Jan 26, 2022, 2:39 AM

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narrow torrent Jan 26, 2022, 2:46 AM

#

if you are given two collinear points can the third point be placed anywhere in the plane?

topaz sinewBOT Jan 26, 2022, 2:46 AM

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narrow torrent if you are given two collinear points can the third point be placed anywhere in ...

wooden matrix Jan 26, 2022, 2:47 AM

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no plane is defined

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so... sure

narrow torrent Jan 26, 2022, 2:47 AM

#

wdym

wooden matrix Jan 26, 2022, 2:47 AM

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a line doesn't define a plane

narrow torrent Jan 26, 2022, 2:47 AM

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yeah ok

vital relic Jan 26, 2022, 2:47 AM

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what even is the question

narrow torrent Jan 26, 2022, 2:47 AM

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but the line is in a plane lmao

vital relic Jan 26, 2022, 2:48 AM

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what?

wooden matrix Jan 26, 2022, 2:48 AM

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ok, that's still infinitely many planes

vital relic Jan 26, 2022, 2:48 AM

#

ask a proper question

narrow torrent Jan 26, 2022, 2:48 AM

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wooden matrix ok, that's still infinitely many planes

there's one plane

wooden matrix Jan 26, 2022, 2:48 AM

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There isnt

narrow torrent Jan 26, 2022, 2:48 AM

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the xy plane

vital relic Jan 26, 2022, 2:48 AM

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wait im so confused wtf

wooden matrix Jan 26, 2022, 2:48 AM

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Ok yeah

vital relic Jan 26, 2022, 2:48 AM

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if you are given 2 collinear points

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?????

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what????

wooden matrix Jan 26, 2022, 2:48 AM

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you have a line in the xy plane

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@vital relic Can you.. not?

vital relic Jan 26, 2022, 2:49 AM

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You guys are making no sense at all

narrow torrent Jan 26, 2022, 2:49 AM

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and i give you two points on that line

wooden matrix Jan 26, 2022, 2:49 AM

#

Yep, with you

narrow torrent Jan 26, 2022, 2:49 AM

#

now the question is can a third point be placed anywhere not on the line itself

#

to create a triangle

wooden matrix Jan 26, 2022, 2:49 AM

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yes

#

it can be placed anywhere not on the line and you'll have a triangle

#

anywhere on the line, it'll be 3 collinear points

narrow torrent Jan 26, 2022, 2:50 AM

#

what is this called

wooden matrix Jan 26, 2022, 2:50 AM

#

geometry

narrow torrent Jan 26, 2022, 2:50 AM

#

but this theorem

wooden matrix Jan 26, 2022, 2:50 AM

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No clue

#

Not everything needs a name

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~~Nor is everything a theorem~~

narrow torrent Jan 26, 2022, 2:53 AM

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ok so ignoring transformations and rotations let's let the two collinear points be (a,0), (b,0)

#

and then let C = (x,y)

wooden matrix Jan 26, 2022, 2:54 AM

#

sure

narrow torrent Jan 26, 2022, 2:55 AM

#

then the sides of the triangle are:
b-a
sqrt((x-a)^2 + y^2)
sqrt((x-b)^2+y^2)

wooden matrix Jan 26, 2022, 2:55 AM

#

side lengths, but yes

narrow torrent Jan 26, 2022, 2:55 AM

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now the task is to prove that this satisfies the inequalities

wooden matrix Jan 26, 2022, 2:55 AM

#

you mean the triangle inequality?

narrow torrent Jan 26, 2022, 2:55 AM

#

yeah

wooden matrix Jan 26, 2022, 2:55 AM

#

have fun

narrow torrent Jan 26, 2022, 2:56 AM

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lol ok

#

ok those inequalities should hold if i square the lengths

#

hmm this is tricky

#

(b-a)^2
(x-a)^2 + y^2
(x-b)^2 + y^2

#

<@&286206848099549185>

#

How do I prove this makes a triangle

sweet shard Jan 26, 2022, 3:26 AM

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what is this?

#

the bottom two look like circles and the top seems like a point related to the centers of the two circles

narrow torrent Jan 26, 2022, 3:30 AM

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Right thats the equilateral case

topaz sinewBOT Jan 26, 2022, 3:45 AM

#

@narrow torrent Has your question been resolved?

topaz sinewBOT Jan 26, 2022, 4:16 AM

#

@narrow torrent Has your question been resolved?

limber current Jan 26, 2022, 5:04 AM

#

Hey

#

I need help

#

Graphing limits

#

#

<@&286206848099549185>

sweet shard Jan 26, 2022, 5:07 AM

#

limber current <@&286206848099549185>

read #❓how-to-get-help

drifting swift Jan 26, 2022, 5:09 AM

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@narrow torrent can you restate your question again

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and/or whether it's still relevant

narrow torrent Jan 26, 2022, 5:09 AM

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sure

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given two collinear points in the xy plane

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prove that a triangle can be formed with any other point not on the line

drifting swift Jan 26, 2022, 5:11 AM

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that... sounds like theres nothing to prove?

#

also "two collinear points" what?

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any two points by defn have a line passing through them (and exactly one line in fact)

narrow torrent Jan 26, 2022, 5:12 AM

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yeah ik

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but is there something extremely obvious i'm missing

drifting swift Jan 26, 2022, 5:12 AM

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and like, any three points not on the same line make a triangle

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why wouldnt they

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who's asking you this question

narrow torrent Jan 26, 2022, 5:13 AM

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by defn?

drifting swift Jan 26, 2022, 5:13 AM

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???

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sorry, i don't understand what you're trying to say anymore.

narrow torrent Jan 26, 2022, 5:14 AM

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ok i guess it's as simple as saying the lines must have different slopes so they mutually intersect

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what's unclear?

drifting swift Jan 26, 2022, 5:15 AM

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you're refusing to tell me who's asking you this question

narrow torrent Jan 26, 2022, 5:15 AM

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relevance?

vital relic Jan 26, 2022, 5:15 AM

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From the very start, your question made little sense.

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Mosh somehow read your mind, but the rest of us can't

narrow torrent Jan 26, 2022, 5:15 AM

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i'm not sure i can explain it more clearly

vital relic Jan 26, 2022, 5:16 AM

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Can you show us the original question.

narrow torrent Jan 26, 2022, 5:16 AM

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just told you lol

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several times

vital relic Jan 26, 2022, 5:16 AM

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That is how it is worded originally?

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I find that hard to believe.

narrow torrent Jan 26, 2022, 5:16 AM

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there's no originally

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lmao

vital relic Jan 26, 2022, 5:16 AM

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???

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What is the context of this.

narrow torrent Jan 26, 2022, 5:16 AM

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none

vital relic Jan 26, 2022, 5:16 AM

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A question sheet, you having an idea, or what?

narrow torrent Jan 26, 2022, 5:17 AM

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stop asking questions about the question and answer the damn question haha

vital relic Jan 26, 2022, 5:17 AM

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I cant answer something that dont make sense

drifting swift Jan 26, 2022, 5:17 AM

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there's a big difference between shit wording handed down from above and shit wording that came out of your own mind

narrow torrent Jan 26, 2022, 5:17 AM

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I give you two points on a line. Will any point not on that line form a triangle with those other two points?

drifting swift Jan 26, 2022, 5:17 AM

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yes

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of course it will

narrow torrent Jan 26, 2022, 5:17 AM

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don't really know how many ways i can rephrase that

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and now the challenge is to prove it

drifting swift Jan 26, 2022, 5:18 AM

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ok sure you have two points A and B and a point C not on AB

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the lines AC and BC will not coincide with AB

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AB and AC will intersect at A and AB and BC will intersect at B

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are you happy now or will you insist something is missing here

narrow torrent Jan 26, 2022, 5:19 AM

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ok then that's all

vital relic Jan 26, 2022, 5:19 AM

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Any 3 points form a triangle regardless. Any 3rd point not collinear with the first two will form a non-degenerate triangle.

narrow torrent Jan 26, 2022, 5:19 AM

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.close

topaz sinewBOT Jan 26, 2022, 5:19 AM

#

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• After 15 minutes, feel free to ping <@&286206848099549185>.
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• Be polite and have a nice day!

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limber current Jan 26, 2022, 5:22 AM

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Can I ask again now?

topaz sinewBOT Jan 26, 2022, 5:22 AM

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limber current Can I ask again now?

marsh mortar Jan 26, 2022, 5:23 AM

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limber current Can I ask again now?

Ask what

limber current Jan 26, 2022, 5:24 AM

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Do I have to send my math problem again?

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Before someone was solving another math problem

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I think I interrupted it sorry

random crescent Jan 26, 2022, 5:24 AM

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Idk where your problem is, they do disappear if you don't reply I think

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I'd just send it again now:)

limber current Jan 26, 2022, 5:25 AM

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The graphing image

leaden tusk Jan 26, 2022, 5:25 AM

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limber current

found it

limber current Jan 26, 2022, 5:25 AM

#

leaden tusk Jan 26, 2022, 5:25 AM

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,rotate

thorny flameBOT Jan 26, 2022, 5:25 AM

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leaden tusk Jan 26, 2022, 5:26 AM

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what are ya havin trouble on m'friend

limber current Jan 26, 2022, 5:26 AM

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Graphing it

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My prof didn't explain how to do it

leaden tusk Jan 26, 2022, 5:26 AM

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gathered that, but what specifically

limber current Jan 26, 2022, 5:26 AM

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I'll show you what I got

leaden tusk Jan 26, 2022, 5:26 AM

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i see you labeled H.A and V.A, so good start

limber current Jan 26, 2022, 5:27 AM

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leaden tusk Jan 26, 2022, 5:36 AM

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oop sorry

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didn't see this

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all looks good except for f(0) being 1

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seems you drew it defined at two points

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make sure you make a hole in your graph at x=0

limber current Jan 26, 2022, 5:39 AM

#

#

Like this right?

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Thank you!! Appreciate it

leaden tusk Jan 26, 2022, 5:41 AM

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looks good 👍

topaz sinewBOT Jan 26, 2022, 5:55 AM

#

@limber current Has your question been resolved?

#

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

void summit Jan 26, 2022, 6:31 AM

#

topaz sinewBOT Jan 26, 2022, 6:31 AM

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void summit

void summit Jan 26, 2022, 6:31 AM

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for the question(first pic)

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how did the circled equations come in the solution(second pic)

topaz sinewBOT Jan 26, 2022, 6:46 AM

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@void summit Has your question been resolved?

topaz sinewBOT Jan 26, 2022, 7:29 AM

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@void summit Has your question been resolved?

drifting swift Jan 26, 2022, 7:31 AM

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this is a very weird solution

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but those red circled equations simply state that the normal of your plane is perpendicular to the normals of the two given planes

topaz sinewBOT Jan 26, 2022, 8:31 AM

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@void summit Has your question been resolved?

mortal thunder Jan 26, 2022, 8:53 AM

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void summit

Let $\hat{a}$ be the normal to the plane $2x-2y+z=0$ and $\hat{b}$ be the normal to the plane $x-y+2z=4$, then you can determine that $\hat{a} = \qty(2, -2, 1)$ and similarly the $\hat{b}$ from how the equation of a plane is determined, i.e., $(x-x_1,y-y_1,z-z_1)\cdot \hat{n} = 0$

thorny flameBOT Jan 26, 2022, 8:53 AM

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Ansh

mortal thunder Jan 26, 2022, 8:55 AM

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The red circled equation is tantamount to saying $\hat{a}\cdot \hat{n} = 0$ and $\hat{b} \cdot \hat{n}=0$ as the question clearly says that the plane is perpendicular to these two planes and hence the dot product of their normals must be 0

thorny flameBOT Jan 26, 2022, 8:55 AM

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Ansh

mortal thunder Jan 26, 2022, 8:55 AM

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that's how you got the red circled equation

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from that, you clearly get a = b, c = 0 and therefore, the equation of your plane

topaz sinewBOT Jan 26, 2022, 9:31 AM

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topaz sinewBOT Jan 26, 2022, 10:19 AM

#

tribal zephyr Jan 26, 2022, 10:25 AM

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or is it just wrong

topaz sinewBOT Jan 26, 2022, 10:40 AM

#

@tribal zephyr Has your question been resolved?

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void summit Jan 26, 2022, 11:02 AM

#

thorny flame **Ansh**

thanks!

topaz sinewBOT Jan 26, 2022, 11:02 AM

#

void summit thanks!

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@void summit Has your question been resolved?

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topaz sinewBOT Jan 26, 2022, 12:39 PM

#

@copper lotus Has your question been resolved?

untold dirge Jan 26, 2022, 1:18 PM

#

Basically the question is equivalent to finding the values of k such that the equation has real roots

#

Try to simplify the equation into the form ax^2+bx+c = 0 first

topaz sinewBOT Jan 26, 2022, 1:35 PM

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@copper lotus Has your question been resolved?

maiden adder Jan 26, 2022, 2:27 PM

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this function should model with some maxima and minima

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find the derivative's values at x = 0

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you'll get two points

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plug in the x values of those points into the original equation

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you'll likely have minima -> maxima as the range from the y component

topaz sinewBOT Jan 26, 2022, 3:26 PM

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@copper lotus Has your question been resolved?

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topaz sinewBOT Jan 26, 2022, 3:46 PM

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chilly plaza Jan 26, 2022, 4:29 PM

#

Hi there! needing a bit of confirmation to my solution in regards to the problem on the picture. Is the reason the proof is wrong because M has to be greater or EQUAL to 1? Belle says she doesn't like A because x is lower than 1 but actually its equal to it. Many thanks!

topaz sinewBOT Jan 26, 2022, 4:29 PM

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chilly plaza Hi there! needing a bit of confirmation to my solution in regards to the problem...

drifting swift Jan 26, 2022, 4:30 PM

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no, the proof is wrong for a different reason

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the proof asserts "M=1 is a non-example of a strict upper bound for [0,1], therefore Belle cannot like it!"

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conveniently sweeping under the rug that Belle may well like it, but with a different strict upper bound

vital relic Jan 26, 2022, 4:31 PM

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Is there missing info for the Q or is that it?

drifting swift Jan 26, 2022, 4:32 PM

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Cinderella likes sets with a nonstrict upper bound and Belle likes sets with a strict upper bound

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to put it briefly

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@chilly plaza M=1 is not a witness for Belle liking A, but that alone does not mean Belle doesn't like A

topaz sinewBOT Jan 26, 2022, 4:44 PM

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neon iron Jan 26, 2022, 5:18 PM

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can someone explain what am I supposed to do after factoring?

topaz sinewBOT Jan 26, 2022, 5:18 PM

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neon iron can someone explain what am I supposed to do after factoring?

neon iron Jan 26, 2022, 5:19 PM

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OOPS

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.close

topaz sinewBOT Jan 26, 2022, 5:19 PM

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stuck linden Jan 26, 2022, 5:47 PM

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topaz sinewBOT Jan 26, 2022, 5:47 PM

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stuck linden

stuck linden Jan 26, 2022, 5:48 PM

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I need help with my math test and multiple questions

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If you can possibly help that would be much appreciated

empty sail Jan 26, 2022, 5:50 PM

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stuck linden I need help with my math test and multiple questions

You can't get help on tests

stuck linden Jan 26, 2022, 5:51 PM

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Not yet

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Can you maybe help me with a few questions?

empty sail Jan 26, 2022, 5:51 PM

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You just said you needed help with your math test, is that not a test?

stuck linden Jan 26, 2022, 5:52 PM

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Yea the pic I sent is one of the questions on the test

empty sail Jan 26, 2022, 5:52 PM

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So that is a test?

unique tundra Jan 26, 2022, 5:54 PM

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Can you just help and dont act like a bad person

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He needs help

stuck linden Jan 26, 2022, 5:54 PM

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It’s a performance task before the test to make sure you know the material before the test happens

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But it has similar questions to the test

empty sail Jan 26, 2022, 5:55 PM

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unique tundra Can you just help and dont act like a bad person

Well, if you know, getting help on tests is academic dishonesty, so if that was a test, that's a bannable offense from the server

stuck linden Jan 26, 2022, 5:55 PM

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empty sail Well, if you know, getting help on tests is academic dishonesty, so if that was ...

It’s not a test man look what I just sent you

unique tundra Jan 26, 2022, 5:56 PM

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Obviously its not a test he just want to know how to solve this

empty sail Jan 26, 2022, 5:56 PM

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It was a reply to that person

stuck linden Jan 26, 2022, 5:56 PM

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empty sail It was a reply to that person

Ok are u able to help with me so I’m able to be ready for the test?

empty sail Jan 26, 2022, 5:56 PM

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Do you know how to apply SOH CAH TOA?

stuck linden Jan 26, 2022, 5:57 PM

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No, this is a culminating activity and we did SOH CAH TOA a while ago so at this point I forget

stuck linden Jan 26, 2022, 5:57 PM

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unique tundra Obviously its not a test he just want to know how to solve this

Thank you for trying to be helpful man

empty sail Jan 26, 2022, 5:58 PM

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stuck linden No, this is a culminating activity and we did SOH CAH TOA a while ago so at this...

Here is my suggestion, since you already know SOH CAH TOA, you should watch this as a refresher
https://www.khanacademy.org/math/geometry-home/right-triangles-topic/intro-to-the-trig-ratios-geo/v/basic-trigonometry

Khan Academy

Intro to the trigonometric ratios (video) | Khan Academy

Sal introduces sine, cosine, and tangent, and gives an example of finding them for a given right triangle.

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Then if you are still stuck, someone can help you through the process

unique tundra Jan 26, 2022, 5:59 PM

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If both sides have the same value for example both are 5.7 meters than you have 45 degree angle, but 3.8 meters are way smaller than 5.7 so the degree must be smaller than 45

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In this case its only 34

empty sail Jan 26, 2022, 6:00 PM

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unique tundra In this case its only 34

Don't give out answers, and if you read, it said to use SOH CAH TOA

unique tundra Jan 26, 2022, 6:01 PM

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empty sail Here is my suggestion, since you already know SOH CAH TOA, you should watch this...

Bruh you could just explain him sog cah and toa, you gave him a whole video😭😭

unique tundra Jan 26, 2022, 6:01 PM

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empty sail Don't give out answers, and if you read, it said to use SOH CAH TOA

Basically explained him a way efficient and logical way to solve this problem😁

empty sail Jan 26, 2022, 6:02 PM

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He said he knew it but forgot what it was, that video is to refresh he memory

stuck linden Jan 26, 2022, 6:02 PM

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Can you tell me which part of the triangle is opp and adj and the hyp??

empty sail Jan 26, 2022, 6:03 PM

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unique tundra Basically explained him a way efficient and logical way to solve this problem😁

Solving it the logical way may not be the right way the teacher wanted. If it asks to use SOH CAH TOA, you should use it

stuck linden Jan 26, 2022, 6:04 PM

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Bro but I don’t remember how I used it at the start of the course

unique tundra Jan 26, 2022, 6:04 PM

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its multiple choice so efficiency is important

empty sail Jan 26, 2022, 6:04 PM

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stuck linden Can you tell me which part of the triangle is opp and adj and the hyp??

It says tan B, what side is opp to that point?

stuck linden Jan 26, 2022, 6:04 PM

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3.8 m?

empty sail Jan 26, 2022, 6:05 PM

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unique tundra its multiple choice so efficiency is important

Even if it's multiple choice, the teacher would ask for full work to get full credit

empty sail Jan 26, 2022, 6:05 PM

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stuck linden 3.8 m?

Yes

stuck linden Jan 26, 2022, 6:05 PM

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empty sail Even if it's multiple choice, the teacher would ask for full work to get full cr...

Opp?

empty sail Jan 26, 2022, 6:05 PM

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Now, what side is adj to B?

unique tundra Jan 26, 2022, 6:05 PM

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hahahahah

stuck linden Jan 26, 2022, 6:07 PM

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empty sail Now, what side is adj to B?

Opp?

empty sail Jan 26, 2022, 6:07 PM

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stuck linden Opp?

So? Even online, they can still ask for work, if they wanted

stuck linden Jan 26, 2022, 6:07 PM

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empty sail So? Even online, they can still ask for work, if they wanted

My teacher doesn’t, he’s easy-going, plus I’m in a college level course not in a university one when it comes to math

unique tundra Jan 26, 2022, 6:07 PM

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hahahahha

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🤣 🤣

empty sail Jan 26, 2022, 6:08 PM

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stuck linden Opp?

You determined opp as 3.8, now what about the adj side to B?

unique tundra Jan 26, 2022, 6:08 PM

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@stuck linden are you allowed to use a calculator on the test?

stuck linden Jan 26, 2022, 6:08 PM

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unique tundra <@!760628916217577522> are you allowed to use a calculator on the test?

Yea

stuck linden Jan 26, 2022, 6:08 PM

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empty sail You determined opp as 3.8, now what about the adj side to B?

Idk Mann

empty sail Jan 26, 2022, 6:08 PM

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What does adjacent mean?

stuck linden Jan 26, 2022, 6:09 PM

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I’ll just wing it I have a lot of questions on this to ask so it’ll take too long to slowly go through each one because it’s due by two, which is in an hour

stuck linden Jan 26, 2022, 6:09 PM

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empty sail What does adjacent mean?

Idk

unique tundra Jan 26, 2022, 6:10 PM

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you know the formulars for soh cah and toa?

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in this case the opposite and the adjacent are given, so you can only solve this problem with toa

empty sail Jan 26, 2022, 6:12 PM

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stuck linden Idk

If you don't want to put the effort in understanding what I'm asking, or using the resource I sent to refresh your memory, then tbh you're out of luck, especially in university level classes. Higher level classes, you're going to need to use resources, outside of the book, to understand material, and you have to understand the concepts and terms used

stuck linden Jan 26, 2022, 6:13 PM

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empty sail If you don't want to put the effort in understanding what I'm asking, or using t...

I said college level, in Canada college level is a lower level than university courses

stuck linden Jan 26, 2022, 6:13 PM

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empty sail If you don't want to put the effort in understanding what I'm asking, or using t...

Don’t be L mans bro cmon

unique tundra Jan 26, 2022, 6:13 PM

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yea i think i can help this guy you can help someone else dldh

unique tundra Jan 26, 2022, 6:13 PM