#help-39 | Mathematics | Page 155

sterile turtle Oct 10, 2024, 2:24 AM

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how does it become r^n+1:1

dusty flame Oct 10, 2024, 2:24 AM

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Check ur formula

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For geometric sum

sterile turtle Oct 10, 2024, 2:25 AM

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oh

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minus

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makes sense lmao

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thanks again

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.close

pearl pondBOT Oct 10, 2024, 2:25 AM

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pearl pondBOT Oct 10, 2024, 2:40 AM

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mint ridge Oct 10, 2024, 3:00 AM

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after finding g'(x) and plugging in the values into the power rule what do i do 😭

pearl pondBOT Oct 10, 2024, 3:00 AM

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mint ridge after finding g'(x) and plugging in the values into the power rule what do i do ...

strange fox Oct 10, 2024, 3:01 AM

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mint ridge after finding g'(x) and plugging in the values into the power rule what do i do ...

do you by chance know what the product rule or chain rule is

mint ridge Oct 10, 2024, 3:02 AM

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yes

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this is what i have

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im a bit iffy w the chain rule

strange fox Oct 10, 2024, 3:05 AM

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mint ridge this is what i have

how did g(x) become just rad3?

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ah wait

mint ridge Oct 10, 2024, 3:06 AM

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oh my bad i shouldve put g(0)

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f’(0) f(0) although idk if thats g’(0) i just know its the derivative 😭😭😭

strange fox Oct 10, 2024, 3:08 AM

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so

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are you trying to ask if thats the correct derivative

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or how to like

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solve

mint ridge Oct 10, 2024, 3:09 AM

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how to solve

strange fox Oct 10, 2024, 3:09 AM

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plug in 0s

mint ridge Oct 10, 2024, 3:09 AM

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and the multiply,?

strange fox Oct 10, 2024, 3:09 AM

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well yeah

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its asking you for the slope of k(x) at x=0

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aka the derivative of k(x) with respect to x when x is 0

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so just plug in and solve for the slope of the tanget line at x=0 of k'(x)

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am i misunderstanding the problem?

mint ridge Oct 10, 2024, 3:11 AM

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like that??

strange fox Oct 10, 2024, 3:12 AM

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well yeah im not sure what else the question could be asking

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just asking for the output of k'(0)

mint ridge Oct 10, 2024, 3:13 AM

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yeahhhh thats why im confused

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ima js put that n pray lol

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thx ^^

strange fox Oct 10, 2024, 3:13 AM

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mint ridge yeahhhh thats why im confused

why are you confused tho

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does it seem too easy or something

mint ridge Oct 10, 2024, 3:14 AM

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nono like i feel that wouldn’t be the answer but i could js be overthinking it

strange fox Oct 10, 2024, 3:15 AM

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i mean it is the first question so its probably meant to be this easy

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and if its telling you specifically that you should find k'(0) there is a good chance it is just a number

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anyways goodluck

mint ridge Oct 10, 2024, 3:16 AM

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thank you smsm

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.close

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ocean crater Oct 10, 2024, 3:53 AM

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I made an app that can

plush bramble Oct 10, 2024, 3:54 AM

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Square both sides, then move the resulting square root to one side by itself and square again

versed ledge Oct 10, 2024, 3:54 AM

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Try assuming x+1 = y² , that might help

ocean crater Oct 10, 2024, 3:55 AM

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ocean crater I made an app that can

dm me if u want to use it everyone in this sever gets premium free for life

versed ledge Oct 10, 2024, 3:55 AM

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<@&268886789983436800> ^^ is this allowed

ocean crater Oct 10, 2024, 3:57 AM

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yes

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when u download just dm me 😁!

undone geyser Oct 10, 2024, 3:59 AM

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Please do not advertise your stuff in here.

brazen current Oct 10, 2024, 4:00 AM

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btw this has no solutions

indigo turtle Oct 10, 2024, 4:00 AM

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Is it free?

brazen current Oct 10, 2024, 4:00 AM

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if we still care about solving the problem

tight cairn Oct 10, 2024, 4:04 AM

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ocean crater I made an app that can

Bro is not slick with the advert💀

minor walrus Oct 10, 2024, 4:06 AM

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sqrt(2-2) + sqrt(2+1)
sqrt(0) + sqrt(3) definitely is not 1

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same thing if you plug in 10

pearl pondBOT Oct 10, 2024, 4:08 AM

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pearl pondBOT Oct 10, 2024, 4:23 AM

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ashen coral Oct 10, 2024, 4:25 AM

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not quite sure where i went wrong here

pearl pondBOT Oct 10, 2024, 4:25 AM

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ashen coral not quite sure where i went wrong here

ashen coral Oct 10, 2024, 4:25 AM

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atomic oracle Oct 10, 2024, 4:27 AM

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It's not clear whether a = AB or AC

ashen coral Oct 10, 2024, 4:28 AM

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these r what the answers r supposed to be

atomic oracle Oct 10, 2024, 4:29 AM

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,w calc (10/8) * Sin(64°)

jolly parrotBOT Oct 10, 2024, 4:29 AM

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atomic oracle Oct 10, 2024, 4:29 AM

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Did you assume a as Ab?

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Or?

ashen coral Oct 10, 2024, 4:30 AM

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wdym

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like which side?

atomic oracle Oct 10, 2024, 4:30 AM

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Yea

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Like which side did you take a as

ashen coral Oct 10, 2024, 4:31 AM

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would a not be opposide of A?

full jewel Oct 10, 2024, 4:31 AM

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hello eveyone

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🥱

atomic oracle Oct 10, 2024, 4:32 AM

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ashen coral would a not be opposide of A?

Try taking a and c as different sides

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This triangle isn't possible

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Where a is the side opposite to a

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,w calc (8/10) * Sin(64°)

jolly parrotBOT Oct 10, 2024, 4:33 AM

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atomic oracle Oct 10, 2024, 4:33 AM

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,w calc Sin^-1((8/10) * Sin(64°))

ashen coral Oct 10, 2024, 4:33 AM

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so am i just allowed to switch up the sides like that?

atomic oracle Oct 10, 2024, 4:33 AM

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Yup

ashen coral Oct 10, 2024, 4:33 AM

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oh what

atomic oracle Oct 10, 2024, 4:33 AM

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Unless they specify

ashen coral Oct 10, 2024, 4:33 AM

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okay let me try this out then

atomic oracle Oct 10, 2024, 4:35 AM

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,w calc Sin^-1((8/10) * Sin(64°)) *180/π

jolly parrotBOT Oct 10, 2024, 4:35 AM

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atomic oracle Oct 10, 2024, 4:35 AM

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Which is approximately 46°

umbral stump Oct 10, 2024, 4:39 AM

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is this correct?

ashen coral Oct 10, 2024, 4:40 AM

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atomic oracle Which is approximately 46°

i got it

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tysm

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.close

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atomic oracle Oct 10, 2024, 4:41 AM

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umbral stump is this correct?

#❓how-to-get-help

pearl pondBOT Oct 10, 2024, 4:51 AM

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glass remnant Oct 10, 2024, 5:20 AM

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can someone explain number two to me

pearl pondBOT Oct 10, 2024, 5:20 AM

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glass remnant can someone explain number two to me

glass remnant Oct 10, 2024, 5:20 AM

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i dont understand how f(x) equals the sqrt of x

prime bramble Oct 10, 2024, 5:21 AM

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glass remnant i dont understand how f(x) equals the sqrt of x

sqrt(x) is our "outer" function here

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if you let $g(x) = \ln(x)$, then $\sqrt{\ln(x)} = \sqrt{g(x)}$

jolly parrotBOT Oct 10, 2024, 5:21 AM

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higher!

prime bramble Oct 10, 2024, 5:22 AM

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now you need to write $\sqrt{g(x)}$ as $f(g(x))$

jolly parrotBOT Oct 10, 2024, 5:22 AM

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higher!

prime bramble Oct 10, 2024, 5:22 AM

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the only choice you have is $f(x) = \sqrt{x}$

jolly parrotBOT Oct 10, 2024, 5:22 AM

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higher!

prime bramble Oct 10, 2024, 5:22 AM

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jolly parrot **higher!**

the reason we want to write it in this way is because that's what the chain rule applies to

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functions of the form f(g(x))

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so we need to find what f(x) is, and this is how you can tell

glass remnant Oct 10, 2024, 5:23 AM

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jolly parrot **higher!**

this part was really helpful

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i think i get it nonow

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tysm

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.close

pearl pondBOT Oct 10, 2024, 5:24 AM

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prime bramble Oct 10, 2024, 5:24 AM

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mikuapproves

pearl pondBOT Oct 10, 2024, 6:05 AM

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sharp smelt Oct 10, 2024, 6:07 AM

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pearl pondBOT Oct 10, 2024, 6:07 AM

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sharp smelt

sharp smelt Oct 10, 2024, 6:07 AM

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Axiom A5:

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Let there exist two distinct additive inverses, $a;b$ of $v$. So $a+v=0$ and $b+v=0$. So $a+v=b+v$. We know that $-v$ is one of the many ( If there are many) additive inverses. so $a+v-v = b+v-v$. From which we can conclude that $a=b$. Thus the additive inverse is unique!

jolly parrotBOT Oct 10, 2024, 6:11 AM

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Veni, vidi, perii is not f(wai)

tropic saddle Oct 10, 2024, 6:22 AM

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yes that works

sharp smelt Oct 10, 2024, 6:23 AM

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Thanks

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.close

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pearl pondBOT Oct 10, 2024, 8:16 AM

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sharp smelt Oct 10, 2024, 8:47 AM

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pearl pondBOT Oct 10, 2024, 8:47 AM

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sharp smelt

sharp smelt Oct 10, 2024, 8:47 AM

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Here's my proof

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Base case :- $a \cdot v_1= av_1$
Assuming this holds true up until $v_n$, we get $a(v_1+v_2 \dots + v_n) = av_1+av_2+av_3 \dots av_n$
Now we add $av_{n+1}$ to both sides, thus gettin $a(v_1+v_2 \dots +v_n)+av_{n+1} = av_1+av_2 + \dots +av_{n+1}$. Which is in turn equal to $a((v_1+v_2 \dots + v_n)+v_{n+1}) = a(v_1+v_2 + \dots + v_{n+1})$. Thus concluding our proof

jolly parrotBOT Oct 10, 2024, 8:51 AM

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Veni, vidi, perii is not f(wai)

sharp smelt Oct 10, 2024, 9:06 AM

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The second proof follows similarly. The base case is $(a_1)v =a_1v$. We then assume $(a_1+a_2 + \dots + a_n)v =a_1v+a_2v+ \dots +a_nv$. We now add $a_{n+1}v$ to both sides to obtain $(a_1 + a_2 + \dots +a_{n})v = a_1v+a_2v + \dots + a_nv+a_{n+1}v$. We now apply the distributive law of vector fields to obtain$(a_1+a_2 + \dots + a_{n+1})v= a_1v+a_2v + \dots +a_{n+1}v$

jolly parrotBOT Oct 10, 2024, 9:06 AM

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Veni, vidi, perii is not f(wai)

sharp smelt Oct 10, 2024, 9:14 AM

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<@&286206848099549185>

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.close

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midnight haven Oct 10, 2024, 9:28 AM

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Could someone explain to me how/why the midnight formula / abc formula works? I feel like I’m missing some mathematical basics to understand it.

pearl pondBOT Oct 10, 2024, 9:28 AM

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midnight haven Could someone explain to me how/why the midnight formula / abc formula works? I ...

uneven smelt Oct 10, 2024, 9:38 AM

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quadratic equation?

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

YouTube

Christian Roettger

Day 10: Quadratic formula (Midnight formula)

The quadratic formula gives you the solutions for ANY quadratic equation. I explain how to find it, why it is also called Midnight formula, and do some examples.

▶ Play video

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they use completing the square

cosmic garnet Oct 10, 2024, 9:39 AM

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ive never heard it referred to as "midnight formula"

tropic saddle Oct 10, 2024, 9:44 AM

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"If I wake you at midnight you have to be able to say the formula"

jolly parrotBOT Oct 10, 2024, 9:45 AM

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bacc the sigma😔🤞

rough forge Oct 10, 2024, 9:46 AM

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You simply copy and paste the coefficients a,b and c and compute it.

rough forge Oct 10, 2024, 9:47 AM

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uneven smelt https://www.youtube.com/watch?v=twEQwjsVrGU

This here seems like a derivation of the formula, which can be derived by completing the square of the equation ax²+bx+c=0

rough forge Oct 10, 2024, 9:49 AM

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tropic saddle "If I wake you at midnight you have to be able to say the formula"

Muss wie aus der Pistole rausgeschossen kommen 🗣️

pearl pondBOT Oct 10, 2024, 9:54 AM

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@midnight haven Has your question been resolved?

pearl pondBOT Oct 10, 2024, 10:09 AM

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quaint crag Oct 10, 2024, 11:17 AM

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If 3(T-R)=10 which of the following correctly expresses T in terms of R?

pearl pondBOT Oct 10, 2024, 11:17 AM

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quaint crag If 3(T-R)=10 which of the following correctly expresses T in terms of R?

cloud zephyr Oct 10, 2024, 11:19 AM

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quaint crag If 3(T-R)=10 which of the following correctly expresses T in terms of R?

do you have a photo sending or something?

quaint crag Oct 10, 2024, 11:20 AM

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timber tartan Oct 10, 2024, 11:21 AM

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quaint crag

Just need to solve for T

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Is it D

quaint crag Oct 10, 2024, 11:21 AM

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where to begin

timber tartan Oct 10, 2024, 11:21 AM

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Consider the question 3(T-1)=10

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how would you solve this

cloud zephyr Oct 10, 2024, 11:22 AM

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quaint crag where to begin

you can start by dividing both sides by 3

quaint crag Oct 10, 2024, 11:23 AM

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timber tartan Consider the question 3(T-1)=10

multiply 3 with the parenthesis ?

timber tartan Oct 10, 2024, 11:23 AM

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quaint crag multiply 3 with the parenthesis ?

that's one way to do that

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now can you go ahead and apply the same step to the question 3(T-R)=10

quaint crag Oct 10, 2024, 11:26 AM

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im getting t = 10+3R/3

timber tartan Oct 10, 2024, 11:30 AM

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quaint crag im getting t = 10+3R/3

Did you forget to multiply T with 3?

quaint crag Oct 10, 2024, 11:33 AM

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i did earlier

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3t=10+3r

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but the t went to rhs and gets divided

tropic wolf Oct 10, 2024, 11:38 AM

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quaint crag 3t=10+3r

now divide by 3 on both the sides

quaint crag Oct 10, 2024, 11:47 AM

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tropic wolf now divide by 3 on both the sides

im getting t=10+r

tropic wolf Oct 10, 2024, 11:48 AM

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[(3t)/3] =[(10+3r)/3]

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[(t)]=[(10/3)+(3r/3)]

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(t)=(10/3)+(3)

quaint crag Oct 10, 2024, 11:49 AM

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tropic wolf [(t)]=[(10/3)+(3r/3)]

where does this come from

tropic wolf Oct 10, 2024, 11:50 AM

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you can seperately divide a number to each term if it is common in denominator

quaint crag Oct 10, 2024, 11:50 AM

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oh

tropic wolf Oct 10, 2024, 11:51 AM

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got it?

quaint crag Oct 10, 2024, 11:51 AM

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yea ty

pearl pondBOT Oct 10, 2024, 12:06 PM

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@quaint crag Has your question been resolved?

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#

timber tartan Oct 10, 2024, 1:36 PM

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your lim resolves to -1/2 * (sinx + tanx)/x
=> -1/2 * (sinx/x + tanx/x)
=> -1/2 (1+1)

agile ridge Oct 10, 2024, 1:36 PM

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ye just solved

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what about this one

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@timber tartan

timber tartan Oct 10, 2024, 1:38 PM

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this is nothing but (a^t - a^-t)ln(a)/2t
=> a^2t -1)/2t * ln(a)

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=> ln a * ln a

agile ridge Oct 10, 2024, 1:39 PM

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a^t-a^-t/2t=lna?

timber tartan Oct 10, 2024, 1:39 PM

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yeah

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the a^t in the denom becomes one that's why i didnt write it

agile ridge Oct 10, 2024, 1:40 PM

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wait why a^2t-1/2t=lna?

timber tartan Oct 10, 2024, 1:42 PM

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lim x->0 a^x - 1/x = ln a

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here x = 2t

agile ridge Oct 10, 2024, 1:42 PM

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timber tartan lim x->0 a^x - 1/x = ln a

oohk, i dont know this

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thx

timber tartan Oct 10, 2024, 1:42 PM

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agile ridge oohk, i dont know this

try LH

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d/dx x = 1

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d/dx a^x - 1 = a^x ln a

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lim x-> 0 a^x ln a / 1 = ln a

agile ridge Oct 10, 2024, 1:43 PM

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aah i see iy now

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tysm

pearl pondBOT Oct 10, 2024, 1:43 PM

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agile ridge Oct 10, 2024, 1:44 PM

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.reopen

pearl pondBOT Oct 10, 2024, 1:44 PM

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✅

timber tartan Oct 10, 2024, 1:46 PM

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have you tried it on your own

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apply LH

agile ridge Oct 10, 2024, 1:51 PM

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no it made things complicated

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aah nvm i got this

pearl pondBOT Oct 10, 2024, 1:55 PM

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jade terrace Oct 10, 2024, 2:16 PM

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hi

pearl pondBOT Oct 10, 2024, 2:16 PM

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jade terrace hi

jade terrace Oct 10, 2024, 2:16 PM

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can i cancel like this

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is this valid

sick adder Oct 10, 2024, 2:16 PM

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Yes

abstract owl Oct 10, 2024, 2:16 PM

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jade terrace is this valid

Yupsies

sick adder Oct 10, 2024, 2:17 PM

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$sin^{3}(x)$ is the same as $sin(x) * sin(x) * sin(x)$, so if you were to write them out like that, visualizing how they cancel is more clear

jolly parrotBOT Oct 10, 2024, 2:17 PM

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m. frost

dense reef Oct 10, 2024, 2:17 PM

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jade terrace hi

yes

dense reef Oct 10, 2024, 2:18 PM

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sick adder $sin^{3}(x)$ is the same as $sin(x) * sin(x) * sin(x)$, so if you were to write ...

how do u type like this

jade terrace Oct 10, 2024, 2:18 PM

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ok hthanks

sick adder Oct 10, 2024, 2:18 PM

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It's a markup language called LaTeX that the bot @jolly parrot can render

dense reef Oct 10, 2024, 2:18 PM

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sick adder It's a markup language called LaTeX that the bot <@510789298321096704> can rende...

oh, dont know how to use it, new here

sick adder Oct 10, 2024, 2:19 PM

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$You type markup code between US dollar signs$ Here is an introductory guide to using it

jade terrace Oct 10, 2024, 2:29 PM

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.close

pearl pondBOT Oct 10, 2024, 2:29 PM

#

Channel closed

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pearl pondBOT Oct 10, 2024, 2:44 PM

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red hedge Oct 10, 2024, 2:52 PM

#

pearl pondBOT Oct 10, 2024, 2:52 PM

#

red hedge

red hedge Oct 10, 2024, 2:53 PM

#

,rotate

jolly parrotBOT Oct 10, 2024, 2:53 PM

#

red hedge Oct 10, 2024, 2:53 PM

#

Need help with 13

oak quiver Oct 10, 2024, 2:54 PM

#

Do you know the reminder theorem?

#

@red hedge

red hedge Oct 10, 2024, 2:54 PM

#

Yeah

oak quiver Oct 10, 2024, 2:54 PM

#

Use that lol

red hedge Oct 10, 2024, 2:54 PM

#

I tried and prob messed up somewhere I’ll try it again

oak quiver Oct 10, 2024, 2:55 PM

#

Send your calculations then

red hedge Oct 10, 2024, 2:58 PM

#

Now I just solve for k such that f(-2) is twice f(2) right

#

,rotate

jolly parrotBOT Oct 10, 2024, 2:58 PM

#

oak quiver Oct 10, 2024, 2:58 PM

#

Yeahh

red hedge Oct 10, 2024, 3:01 PM

#

#

,rotate

jolly parrotBOT Oct 10, 2024, 3:01 PM

#

red hedge Oct 10, 2024, 3:01 PM

#

Imma plug it in and check my answer

oak quiver Oct 10, 2024, 3:02 PM

#

Kk

#

Bro wtf have you done

#

You cancelled the 2 from 21?

red hedge Oct 10, 2024, 3:03 PM

#

Where

#

No that’s 2k

#

I just wrote the k weird

oak quiver Oct 10, 2024, 3:03 PM

#

Lmao

upper drum Oct 10, 2024, 3:03 PM

#

red hedge No that’s 2k

btw dont write in such way in boards tho

oak quiver Oct 10, 2024, 3:04 PM

#

You Indian too? @red hedge

red hedge Oct 10, 2024, 3:05 PM

#

How’d you know 😭

upper drum Oct 10, 2024, 3:05 PM

#

oh sh*t

#

wrong chat

#

i meant in that AP ques

#

lmao

red hedge Oct 10, 2024, 3:05 PM

#

Was it my finger slightly showing in the picture that gave it away

oak quiver Oct 10, 2024, 3:05 PM

#

upper drum btw dont write in such way in boards tho

He told me lmao

#

opencry

upper drum Oct 10, 2024, 3:06 PM

#

oak quiver He told me lmao

catthumbsup

oak quiver Oct 10, 2024, 3:06 PM

#

upper drum <:catthumbsup:614540188747563008>

You in which class?

upper drum Oct 10, 2024, 3:06 PM

#

oak quiver You in which class?

12

oak quiver Oct 10, 2024, 3:07 PM

#

Ohh 11

#

Wait this means we have all from 9-12

red hedge Oct 10, 2024, 3:08 PM

#

#

Got it

#

Ty

#

.close

pearl pondBOT Oct 10, 2024, 3:08 PM

#

Channel closed

Closed by @red hedge

Use .reopen if this was a mistake.

oak quiver Oct 10, 2024, 3:09 PM

#

@red hedge f(-2) = 16 and f(2) = 6?

pearl pondBOT Oct 10, 2024, 3:13 PM

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finite stump Oct 10, 2024, 3:16 PM

#

pearl pondBOT Oct 10, 2024, 3:16 PM

#

finite stump

finite stump Oct 10, 2024, 3:16 PM

#

help pls need to check my answers

#

a) 1.75 or 7/4
b) 3.5 m/s
c) 1 m/s

oak quiver Oct 10, 2024, 3:17 PM

#

Show your steps too

finite stump Oct 10, 2024, 3:17 PM

#

okay

#

#

Oh No

#

I just made huge mistake Brb

#

a) 2 m/s
b) 4 m/s
c) 1 m/s

#

new answers

oak quiver Oct 10, 2024, 3:23 PM

#

Why are your ans in m/s lmao

finite stump Oct 10, 2024, 3:25 PM

#

oak quiver Why are your ans in m/s lmao

idk

#

its rate

oak quiver Oct 10, 2024, 3:26 PM

#

mol/L/sec imo

finite stump Oct 10, 2024, 3:26 PM

#

yes that

#

but my answers are fine ?

oak quiver Oct 10, 2024, 3:26 PM

#

Give me the corrected calculations lol

finite stump Oct 10, 2024, 3:35 PM

#

oak quiver Give me the corrected calculations lol

i gave already

#

a) 2 m/s

#

b) 4m/s

#

c) 1m/s

pearl pondBOT Oct 10, 2024, 3:50 PM

#

@finite stump Has your question been resolved?

oak quiver Oct 10, 2024, 3:50 PM

#

I think there are correct

finite stump Oct 10, 2024, 3:53 PM

#

oak quiver I think there are correct

opkay thank you

#

.close

pearl pondBOT Oct 10, 2024, 3:57 PM

#

Channel closed

Closed by @finite stump

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urban sun Oct 10, 2024, 4:04 PM

#

what is the second question bruh

pearl pondBOT Oct 10, 2024, 4:04 PM

#

urban sun what is the second question bruh

urban sun Oct 10, 2024, 4:05 PM

#

i don't understand it

oak quiver Oct 10, 2024, 4:05 PM

#

Which?

urban sun Oct 10, 2024, 4:05 PM

#

oak quiver Which?

Question 2

nimble osprey Oct 10, 2024, 4:14 PM

#

pearl pondBOT Oct 10, 2024, 4:20 PM

#

@urban sun Has your question been resolved?

pearl pondBOT Oct 10, 2024, 4:35 PM

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twin fox Oct 10, 2024, 5:03 PM

#

pearl pondBOT Oct 10, 2024, 5:03 PM

#

twin fox

#

@twin fox Has your question been resolved?

twin fox Oct 10, 2024, 5:24 PM

#

<@&286206848099549185>

pearl pondBOT Oct 10, 2024, 5:54 PM

#

@twin fox Has your question been resolved?

twin fox Oct 10, 2024, 5:54 PM

#

<@&286206848099549185>

#

<@&286206848099549185>

pearl pondBOT Oct 10, 2024, 6:54 PM

#

@twin fox Has your question been resolved?

pearl pondBOT Oct 10, 2024, 7:54 PM

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Channel closed

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astral salmon Oct 10, 2024, 8:04 PM

#

<@&286206848099549185>

pearl pondBOT Oct 10, 2024, 8:04 PM

#

astral salmon <@&286206848099549185>

astral salmon Oct 10, 2024, 8:05 PM

#

Where that 2 and 3 came from?

#

Hello

#

🖐️

#

Where that 2 and 3 came from

#

Yes

#

Kinda

#

Thanks man

#

👍

pearl pondBOT Oct 10, 2024, 8:36 PM

#

@astral salmon Has your question been resolved?

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Channel closed

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analog shoal Oct 10, 2024, 8:44 PM

#

hi guys sorry to be a pain but could someone check these answers for me please? i dont want to ask teacher in fear of being wrong for simple qs

pearl pondBOT Oct 10, 2024, 8:44 PM

#

analog shoal hi guys sorry to be a pain but could someone check these answers for me please? ...

analog shoal Oct 10, 2024, 8:44 PM

#

plush bramble Oct 10, 2024, 8:45 PM

#

,w simplify 5x + 3xy - x -xy

jolly parrotBOT Oct 10, 2024, 8:45 PM

#

Results provided by WolframAlpha

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plush bramble Oct 10, 2024, 8:45 PM

#

,w simplify x(1-y) - 8xy + 5(x+y)

jolly parrotBOT Oct 10, 2024, 8:45 PM

#

Results provided by WolframAlpha

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plush bramble Oct 10, 2024, 8:46 PM

#

,w simplify 4x^2 -4x+7y^2 - 3y + 2x^2 - y^2 +xy

jolly parrotBOT Oct 10, 2024, 8:46 PM

#

Results provided by WolframAlpha

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analog shoal Oct 10, 2024, 8:46 PM

#

Thats a usefull command! thanks for introducing it to me :)

plush bramble Oct 10, 2024, 8:46 PM

#

yes wolfram alpha is a good website

analog shoal Oct 10, 2024, 8:50 PM

#

for the last question

#

which is a preferred way of presentation? 6X2 -4x +6Y2 -3y + xy or the one with brackets?

#

,w

#

,w simplify 4(x/(2xy)) +(6y/2y)-((x^2 y^2 /(xy))

#

not sure what i did wrong here

#

#

Are we not supposed to multiply 4 by the initial bracket?

#

due to 2xy being inside another set we cant touch it?

twilit lion Oct 10, 2024, 8:56 PM

#

It's 4 multiplied by (x/2xy)

#

Multiplying means you only have to multiply the numerator

#

which is x

analog shoal Oct 10, 2024, 8:57 PM

#

thus we get 4x/2xy
canceling out gets us 2/y

#

as we take 2x as a factor ?

twilit lion Oct 10, 2024, 8:57 PM

#

The (2xy) doesn't mean it's untouchable, it's there just to specify that 2xy is the entire denominator

#

You have an x in the denominator and numerator so they cancel

#

What's your concern exactly?

analog shoal Oct 10, 2024, 8:58 PM

#

jolly parrot

my answer doesnt match

#

so i think i have done something wrong? idk

#

sorry to be a pain

twilit lion Oct 10, 2024, 8:59 PM

#

jolly parrot

Huh? This isn't even the same equation as the one you sent

#

They're 2 completely different equations

twilit lion Oct 10, 2024, 9:00 PM

#

analog shoal

You only care about this, no?

analog shoal Oct 10, 2024, 9:01 PM

#

oops, sorry deleted the picture from the bot when asking for more information before

#

,w simplify 4(x/(2xy)) +(6y/2y)-((x^2 y^2 /(xy))

jolly parrotBOT Oct 10, 2024, 9:02 PM

#

Results provided by WolframAlpha

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Upgrade to WolframAlpha Pro!

analog shoal Oct 10, 2024, 9:02 PM

#

twilit lion You only care about this, no?

yeah :(

twilit lion Oct 10, 2024, 9:03 PM

#

analog shoal

You're really confusing me here, if we're just talking about the question you sent here, then we've already gone through it together just now

twilit lion Oct 10, 2024, 9:03 PM

#

analog shoal

Are you mixing up that question to one of the previous 3?

analog shoal Oct 10, 2024, 9:04 PM

#

twilit lion Are you mixing up that question to one of the previous 3?

oh, sorry, i think i might be!

#

thanks for pointing out my mistake, i am less stressed now

#

so sorry about the confusion

twilit lion Oct 10, 2024, 9:04 PM

#

dw

#

At least it's sorted

analog shoal Oct 10, 2024, 9:04 PM

#

:)

#

.close

pearl pondBOT Oct 10, 2024, 9:04 PM

#

Channel closed

Closed by @analog shoal

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pearl pondBOT Oct 10, 2024, 9:40 PM

#

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• Be polite and have a nice day!

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dawn folio Oct 10, 2024, 9:51 PM

#

pearl pondBOT Oct 10, 2024, 9:51 PM

#

dawn folio

dawn folio Oct 10, 2024, 9:51 PM

#

i don't know how to solve this

prime bramble Oct 10, 2024, 9:52 PM

#

,rotate

jolly parrotBOT Oct 10, 2024, 9:52 PM

#

prime bramble Oct 10, 2024, 9:53 PM

#

try setting each quadratic to 0, and solving for x in each case

dawn folio Oct 10, 2024, 9:53 PM

#

ok

prime bramble Oct 10, 2024, 9:53 PM

#

one of them is going to have roots not equal to 6sqrt(2) and -6sqrt(2)

dawn folio Oct 10, 2024, 9:54 PM

#

prime bramble try setting each quadratic to 0, and solving for x in each case

you mean making f(x) into zero so 2X squared would equal 144?

prime bramble Oct 10, 2024, 9:55 PM

#

dawn folio you mean making f(x) into zero so 2X squared would equal 144?

yeah

#

that would be once instance

#

though I recommend factoring instead of moving terms around

dawn folio Oct 10, 2024, 9:56 PM

#

prime bramble though I recommend factoring instead of moving terms around

how would you factor

dawn folio Oct 10, 2024, 9:58 PM

#

prime bramble yeah

i got the anser by moving the terms but how do you solve it by factoring

prime bramble Oct 10, 2024, 10:00 PM

#

dawn folio i got the anser by moving the terms but how do you solve it by factoring

ah, you can't exactly factor this one eeveethink

#

you can apply the quadratic formula though

#

that would suffice

pearl pondBOT Oct 10, 2024, 10:13 PM

#

@dawn folio Has your question been resolved?

dawn folio Oct 10, 2024, 10:15 PM

#

prime bramble ah, you can't exactly factor this one <:eeveethink:601029006418116608>

ok ty

pearl pondBOT Oct 10, 2024, 10:16 PM

#

Channel closed

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dawn folio Oct 10, 2024, 10:35 PM

#

pearl pondBOT Oct 10, 2024, 10:35 PM

#

dawn folio

dawn folio Oct 10, 2024, 10:35 PM

#

How do this

cosmic raptor Oct 10, 2024, 10:36 PM

#

do you know how to find the absolute value of a complex number?

dawn folio Oct 10, 2024, 10:37 PM

#

square root of a and b right?

#

then how

plush bramble Oct 10, 2024, 10:40 PM

#

$|x+iy| = \sqrt{x^2 + y^2}$

jolly parrotBOT Oct 10, 2024, 10:40 PM

#

riemann

plush bramble Oct 10, 2024, 10:40 PM

#

for any real numbers x, y

dawn folio Oct 10, 2024, 10:41 PM

#

so square root of 225 minus 64?

#

does the negative carry over or no

plush bramble Oct 10, 2024, 10:41 PM

#

no

dawn folio Oct 10, 2024, 10:41 PM

#

if not then its root 225 plus 64 right?

plush bramble Oct 10, 2024, 10:41 PM

#

y^2 = (-8)^2

dawn folio Oct 10, 2024, 10:42 PM

#

then its root what

#

so its square root of 225 + 64 right? which aes it 17

plush bramble Oct 10, 2024, 10:44 PM

#

,calc sqrt(15^2 + (-8)^2)

jolly parrotBOT Oct 10, 2024, 10:44 PM

#

Result:

plush bramble Oct 10, 2024, 10:44 PM

#

yes

dawn folio Oct 10, 2024, 10:45 PM

#

ty

#

.close

pearl pondBOT Oct 10, 2024, 10:48 PM

#

Channel closed

Closed by @dawn folio

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dawn folio Oct 10, 2024, 10:52 PM

#

pearl pondBOT Oct 10, 2024, 10:52 PM

#

dawn folio

dawn folio Oct 10, 2024, 10:52 PM

#

How does this problem work

#

Because none of the answers has a negative root or i

woeful stump Oct 10, 2024, 10:53 PM

#

are you sure? substitute i root 5 into the equations and see what you get

dawn folio Oct 10, 2024, 10:53 PM

#

for x? @woeful stump

#

<@&286206848099549185>

twilit lion Oct 10, 2024, 11:08 PM

#

How did you conclude that none of them have a negative root or i

#

If you just rearrange B, C and D for x^2 it should make sense

urban swift Oct 10, 2024, 11:09 PM

#

it’s C

twilit lion Oct 10, 2024, 11:09 PM

#

You aren't meant to just directly give the answer but a'ight

dawn folio Oct 10, 2024, 11:09 PM

#

ik its c i dont how to get ther tho

urban swift Oct 10, 2024, 11:09 PM

#

you just move the constant to the other side

twilit lion Oct 10, 2024, 11:09 PM

#

x^2 = -5

#

It should make sense that a square can never be negative unless it's not real

dawn folio Oct 10, 2024, 11:10 PM

#

oh so x =iroot5

twilit lion Oct 10, 2024, 11:10 PM

#

Yes

dawn folio Oct 10, 2024, 11:10 PM

#

so you just solve for x?

urban swift Oct 10, 2024, 11:10 PM

#

yes

#

and there are two solutions always

dawn folio Oct 10, 2024, 11:11 PM

#

ye plus or mines thank you @urban swift @twilit lion

twilit lion Oct 10, 2024, 11:11 PM

#

np

dawn folio Oct 10, 2024, 11:12 PM

#

.close

pearl pondBOT Oct 10, 2024, 11:12 PM

#

Channel closed

Closed by @dawn folio

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supple citrus Oct 10, 2024, 11:46 PM

#

what am i doing wrong? im not getting the answer in the mark scheme

pearl pondBOT Oct 10, 2024, 11:46 PM

#

supple citrus what am i doing wrong? im not getting the answer in the mark scheme

#

@supple citrus Has your question been resolved?

pearl pondBOT Oct 11, 2024, 12:16 AM

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Channel closed

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arctic carbon Oct 11, 2024, 12:21 AM

#

pearl pondBOT Oct 11, 2024, 12:21 AM

#

arctic carbon

arctic carbon Oct 11, 2024, 12:21 AM

#

not sure where to go

#

from here

feral sedge Oct 11, 2024, 12:22 AM

#

<@&268886789983436800>

arctic carbon Oct 11, 2024, 12:22 AM

#

lmfao

#

that blank i filled out is that just x?

#

since y/x is tanx and thats x/1

feral sedge Oct 11, 2024, 12:23 AM

#

isn't it tan^-1(x)

arctic carbon Oct 11, 2024, 12:24 AM

#

yeah it is

#

can i just use a u substitution for now or something and come back to it later in the expression

feral sedge Oct 11, 2024, 12:25 AM

#

I would give the cos(a+b) formula a try

arctic carbon Oct 11, 2024, 12:26 AM

#

yeah i was gonna use that usig u substitution

#

i saw that angle sum difference identity

#

with pi/2 and u

feral sedge Oct 11, 2024, 12:26 AM

#

Sure

#

I wasn't picturing using substitution for that but there's no difference

arctic carbon Oct 11, 2024, 12:27 AM

#

yeah i got -sinu

#

from that when the cos on the left cancelled out

feral sedge Oct 11, 2024, 12:30 AM

#

so sin(tan^-1(x))?

#

This is where the triangle will come in handy

arctic carbon Oct 11, 2024, 12:30 AM

#

yeah i got

#

okay -x/sqrt(x^2+1)

#

so x = -x/sqrt(x^2+1)

#

and solving for x gives x^4 = 0

#

and fourth root of 0 is 0

#

so 0

pearl pondBOT Oct 11, 2024, 12:49 AM

#

@arctic carbon Has your question been resolved?

#

Channel closed

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dawn folio Oct 11, 2024, 12:59 AM

#

pearl pondBOT Oct 11, 2024, 12:59 AM

#

dawn folio

dawn folio Oct 11, 2024, 12:59 AM

#

i did it and got -4 +- sqrt2/3 i

#

i dont know how they got 6/3

solar juniper Oct 11, 2024, 1:00 AM

#

what'd you do

dawn folio Oct 11, 2024, 1:00 AM

#

-7 on both side

#

wait let me draw it realquick

#

solar juniper Oct 11, 2024, 1:03 AM

#

hmm

#

This should be correct

dawn folio Oct 11, 2024, 1:04 AM

#

is the key wrong then?

solar juniper Oct 11, 2024, 1:04 AM

#

I assume so

#

I mean if you use online calculator

#

dawn folio Oct 11, 2024, 1:05 AM

#

is i on the inside or outside of the sqrt

solar juniper Oct 11, 2024, 1:06 AM

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It can be outside

#

Because i = sqrt(-1)

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so it doesn't matter

#

if you rewrite i to sqrt(-1)

#

you can plug it back into the other square root

#

and take it out too

dawn folio Oct 11, 2024, 1:07 AM

#

oh ok ty

#

.close

pearl pondBOT Oct 11, 2024, 1:07 AM

#

Channel closed

Closed by @dawn folio

Use .reopen if this was a mistake.

dawn folio Oct 11, 2024, 1:11 AM

#

how would you solve this

#

would you 25 and do x method

pastel raven Oct 11, 2024, 1:14 AM

#

it's a 2-degree equation

dawn folio Oct 11, 2024, 1:15 AM

#

?

pastel raven Oct 11, 2024, 1:15 AM

#

in a single variable

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so you can use

#

the quadratic formula

dawn folio Oct 11, 2024, 1:15 AM

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is there another way cause i dont know it by head

pastel raven Oct 11, 2024, 1:16 AM

#

you can try factorisation

dawn folio Oct 11, 2024, 1:16 AM

#

wdym

pastel raven Oct 11, 2024, 1:16 AM

#

to put it in form like a(x-b)(x-c) = 0, for some a, b, c real

#

then x = b and x = c will be solutions

dawn folio Oct 11, 2024, 1:17 AM

#

so -b/ac

pastel raven Oct 11, 2024, 1:17 AM

#

what?

dawn folio Oct 11, 2024, 1:17 AM

#

one sec

pastel raven Oct 11, 2024, 1:17 AM

#

you need to learn how to use the formula

#

because it'll appear a lot to you

pearl pondBOT Oct 11, 2024, 1:22 AM

#

Available help channel!

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heavy hill Oct 11, 2024, 1:23 AM

#

pearl pondBOT Oct 11, 2024, 1:23 AM

#

heavy hill

heavy hill Oct 11, 2024, 1:24 AM

#

hey guys im really confused on how to do part (iii)

#

i like dont even know where to start

cinder flower Oct 11, 2024, 1:26 AM

#

if you have X as a vertex, how many ways can you choose two other vertices?

dawn folio Oct 11, 2024, 1:26 AM

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dawg they done closed my chanel

#

bruh

heavy hill Oct 11, 2024, 1:26 AM

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dawn folio dawg they done closed my chanel

omg sorry

dawn folio Oct 11, 2024, 1:26 AM

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np

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il get another its fine'

heavy hill Oct 11, 2024, 1:27 AM

#

👍

heavy hill Oct 11, 2024, 1:27 AM

#

cinder flower if you have X as a vertex, how many ways can you choose two other vertices?

ok lemme think for a sec

#

ok so if you already have x

#

you have to pick one from both lines

#

so (n-1) x (n-1)

dusky basin Oct 11, 2024, 1:28 AM

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Yo

heavy hill Oct 11, 2024, 1:29 AM

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oHHH

dusky basin Oct 11, 2024, 1:29 AM

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I need help with logic

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Can anyone who is available help me in the channel?

heavy hill Oct 11, 2024, 1:30 AM

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i think u need to use a new channel

dusky basin Oct 11, 2024, 1:30 AM

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I did no one is responding

cinder flower Oct 11, 2024, 1:30 AM

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too bad

heavy hill Oct 11, 2024, 1:30 AM

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💀

heavy hill Oct 11, 2024, 1:31 AM

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cinder flower too bad

btw thanks for the help!

#

it makes sense now

dusky basin Oct 11, 2024, 1:31 AM

#

heavy hill 💀

Me rn

heavy hill Oct 11, 2024, 1:31 AM

#

.close

pearl pondBOT Oct 11, 2024, 1:31 AM

#

Channel closed

Closed by @heavy hill

Use .reopen if this was a mistake.

dusky basin Oct 11, 2024, 1:31 AM

#

Dr p can you help me now then

heavy hill Oct 11, 2024, 1:31 AM

#

uhh i can try

dusky basin Oct 11, 2024, 1:31 AM

#

heavy hill Oct 11, 2024, 1:31 AM

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ummm

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what is this

dusky basin Oct 11, 2024, 1:32 AM

#

Logic

cinder flower Oct 11, 2024, 1:32 AM

#

bending_skull

dusky basin Oct 11, 2024, 1:32 AM

#

Proof tables

heavy hill Oct 11, 2024, 1:32 AM

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im gonna be honest

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i cant help u

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i dont even know what im looking at

dusky basin Oct 11, 2024, 1:32 AM

#

Cooked

heavy hill Oct 11, 2024, 1:33 AM

#

😭

pearl pondBOT Oct 11, 2024, 1:54 AM

#

Available help channel!

Send your question here to claim the channel.

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• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
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• Be polite and have a nice day!

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buoyant garnet Oct 11, 2024, 2:13 AM

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pearl pondBOT Oct 11, 2024, 2:13 AM

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buoyant garnet One message removed from a suspended account.

versed mica Oct 11, 2024, 2:18 AM

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buoyant garnet Oct 11, 2024, 2:18 AM

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versed mica Oct 11, 2024, 2:18 AM

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what is the graphical technique from section 3.1

buoyant garnet Oct 11, 2024, 2:18 AM

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versed mica Oct 11, 2024, 2:20 AM

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how precise does it have to be

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getting the general shape is easy

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approximating the slope is egregious

buoyant garnet Oct 11, 2024, 2:20 AM

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versed mica Oct 11, 2024, 2:21 AM

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like do we really need to scale the axes and have coordinates

buoyant garnet Oct 11, 2024, 2:21 AM

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versed mica Oct 11, 2024, 2:21 AM

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💀

buoyant garnet Oct 11, 2024, 2:21 AM

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versed mica Oct 11, 2024, 2:22 AM

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for the derivative?

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oh brother

buoyant garnet Oct 11, 2024, 2:22 AM

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versed mica Oct 11, 2024, 2:23 AM

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well for the max you can look at the middle section

buoyant garnet Oct 11, 2024, 2:23 AM

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versed mica Oct 11, 2024, 2:23 AM

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where it has a point of inflection

buoyant garnet Oct 11, 2024, 2:23 AM

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versed mica Oct 11, 2024, 2:23 AM

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you aren’t familiar?

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changing concavity

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f’’ changes sign

buoyant garnet Oct 11, 2024, 2:23 AM

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versed mica Oct 11, 2024, 2:24 AM

#

think of it like critical point for f’

buoyant garnet Oct 11, 2024, 2:24 AM

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versed mica Oct 11, 2024, 2:24 AM

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what

buoyant garnet Oct 11, 2024, 2:24 AM

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versed mica Oct 11, 2024, 2:24 AM

#

no it more so looks like a straight line

buoyant garnet Oct 11, 2024, 2:24 AM

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versed mica Oct 11, 2024, 2:24 AM

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no

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not a horizontal tangent

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just look where it changes concavity

buoyant garnet Oct 11, 2024, 2:25 AM

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versed mica Oct 11, 2024, 2:25 AM

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buoyant garnet One message removed from a suspended account.

notice the maximum here

#

it changes from concave up to concave down

versed mica Oct 11, 2024, 2:25 AM

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buoyant garnet One message removed from a suspended account.

yea

buoyant garnet Oct 11, 2024, 2:25 AM

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versed mica Oct 11, 2024, 2:26 AM

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if you have the solution what’s confusing you

buoyant garnet Oct 11, 2024, 2:26 AM

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versed mica Oct 11, 2024, 2:26 AM

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cant you learn from looking at the solution

buoyant garnet Oct 11, 2024, 2:26 AM

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versed mica Oct 11, 2024, 2:26 AM

#

you just desperately wanted to talk to me

buoyant garnet Oct 11, 2024, 2:26 AM

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versed mica Oct 11, 2024, 2:26 AM

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i get it

buoyant garnet Oct 11, 2024, 2:26 AM

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versed mica Oct 11, 2024, 2:27 AM

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well it should be obvious that it starts ~0 and ends ~ 0

buoyant garnet Oct 11, 2024, 2:27 AM

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versed mica Oct 11, 2024, 2:27 AM

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buoyant garnet One message removed from a suspended account.

yes

buoyant garnet Oct 11, 2024, 2:28 AM

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versed mica Oct 11, 2024, 2:28 AM

#

hopefully you can tell it’s suymmetrical

#

just by looking at it before and after the point of inflection

buoyant garnet Oct 11, 2024, 2:28 AM

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versed mica Oct 11, 2024, 2:28 AM

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yea about the point of inflection

buoyant garnet Oct 11, 2024, 2:28 AM

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buoyant garnet Oct 11, 2024, 2:29 AM

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buoyant garnet One message removed from a suspended account.

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versed mica Oct 11, 2024, 2:29 AM

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buoyant garnet One message removed from a suspended account.

the shape should be obvious

buoyant garnet Oct 11, 2024, 2:29 AM

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versed mica Oct 11, 2024, 2:29 AM

#

need i say more about the shape?

buoyant garnet Oct 11, 2024, 2:29 AM

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buoyant garnet Oct 11, 2024, 2:29 AM

#

versed mica need i say more about the shape?

One message removed from a suspended account.

versed mica Oct 11, 2024, 2:29 AM

#

let’s look at the slope near point of inflection

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it’s approximately linear

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so we can just good old slope formula

buoyant garnet Oct 11, 2024, 2:29 AM

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versed mica Oct 11, 2024, 2:30 AM

#

you can use 20->25 or 25->30

#

(20,100)

buoyant garnet Oct 11, 2024, 2:30 AM

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versed mica Oct 11, 2024, 2:30 AM

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you can

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(30,250)

#

ish

buoyant garnet Oct 11, 2024, 2:30 AM

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versed mica Oct 11, 2024, 2:30 AM

#

little more

buoyant garnet Oct 11, 2024, 2:30 AM

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versed mica Oct 11, 2024, 2:30 AM

#

the coordinates

buoyant garnet Oct 11, 2024, 2:31 AM

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versed mica Oct 11, 2024, 2:31 AM

#

yuh

buoyant garnet Oct 11, 2024, 2:31 AM

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versed mica Oct 11, 2024, 2:31 AM

#

what did you get

#

(20,100) and (30,250)

buoyant garnet Oct 11, 2024, 2:31 AM

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versed mica Oct 11, 2024, 2:31 AM

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buoyant garnet One message removed from a suspended account.

notice they used the 20 for scale but it doesn’t actually go that high

buoyant garnet Oct 11, 2024, 2:31 AM

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versed mica Oct 11, 2024, 2:31 AM

#

keep it simple

buoyant garnet Oct 11, 2024, 2:31 AM

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versed mica Oct 11, 2024, 2:32 AM

#

15

buoyant garnet Oct 11, 2024, 2:32 AM

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versed mica Oct 11, 2024, 2:32 AM

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buoyant garnet One message removed from a suspended account.

huh

buoyant garnet Oct 11, 2024, 2:32 AM

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versed mica Oct 11, 2024, 2:32 AM

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8/5

#

brother what

buoyant garnet Oct 11, 2024, 2:32 AM

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versed mica Oct 11, 2024, 2:32 AM

#

160/10

#

is 16

#

🤔

buoyant garnet Oct 11, 2024, 2:32 AM

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versed mica Oct 11, 2024, 2:32 AM

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no idea where 1.6 came from

buoyant garnet Oct 11, 2024, 2:32 AM

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versed mica Oct 11, 2024, 2:33 AM

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buoyant garnet One message removed from a suspended account.

the peak here is about halfway between 10 and 20

#

so either works

versed mica Oct 11, 2024, 2:33 AM

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buoyant garnet One message removed from a suspended account.

that was me making fun of you

#

👍🏻

buoyant garnet Oct 11, 2024, 2:33 AM

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versed mica Oct 11, 2024, 2:34 AM

#

yea

versed mica Oct 11, 2024, 2:34 AM

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buoyant garnet One message removed from a suspended account.

perse

buoyant garnet Oct 11, 2024, 2:34 AM

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versed mica Oct 11, 2024, 2:34 AM

#

yes way

buoyant garnet Oct 11, 2024, 2:35 AM

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versed mica Oct 11, 2024, 2:35 AM

#

you’re saying something i guess

#

🤷🏼‍♂️

buoyant garnet Oct 11, 2024, 2:35 AM

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versed mica Oct 11, 2024, 2:35 AM

#

bring bullying back

#

💯💯

#

🙏🏻🙏🏻

buoyant garnet Oct 11, 2024, 2:36 AM

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pearl pondBOT Oct 11, 2024, 2:37 AM

#

Channel closed

Closed by @buoyant garnet

Use .reopen if this was a mistake.

#

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

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

buoyant garnet Oct 11, 2024, 2:47 AM

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One message removed from a suspended account.

pearl pondBOT Oct 11, 2024, 2:47 AM

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buoyant garnet One message removed from a suspended account.

buoyant garnet Oct 11, 2024, 2:47 AM

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versed mica Oct 11, 2024, 2:49 AM

#

buoyant garnet Oct 11, 2024, 2:49 AM

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versed mica Oct 11, 2024, 2:49 AM

#

Q’(t)

#

Q’(10)

#

yooo

#

the goat

#

🐐 🐐🐐

finite jolt Oct 11, 2024, 2:50 AM

#

whom

versed mica Oct 11, 2024, 2:50 AM

#

@finite jolt

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my guy

buoyant garnet Oct 11, 2024, 2:50 AM

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versed mica Oct 11, 2024, 2:50 AM

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nah

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hired

finite jolt Oct 11, 2024, 2:50 AM

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ah thanks ;)

versed mica Oct 11, 2024, 2:50 AM

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devilish

finite jolt Oct 11, 2024, 2:50 AM

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Yeah ive been trying to come back to mathcord and help more

finite jolt Oct 11, 2024, 2:50 AM

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versed mica <:devilish:882819553686609981>

literally me

obtuse plaza Oct 11, 2024, 2:50 AM

#

stare

versed mica Oct 11, 2024, 2:50 AM

#

you need the green my man

buoyant garnet Oct 11, 2024, 2:51 AM

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finite jolt Oct 11, 2024, 2:51 AM

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green grind starts today

finite jolt Oct 11, 2024, 2:51 AM

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buoyant garnet One message removed from a suspended account.

Yep

obtuse plaza Oct 11, 2024, 2:51 AM

#

yes

finite jolt Oct 11, 2024, 2:51 AM

#

wrt time

buoyant garnet Oct 11, 2024, 2:51 AM

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versed mica Oct 11, 2024, 2:51 AM

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no need for the ^1

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but sure

buoyant garnet Oct 11, 2024, 2:51 AM

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versed mica Oct 11, 2024, 2:52 AM

#

and -1

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you need the -1

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for chain rule

finite jolt Oct 11, 2024, 2:52 AM

#

Isnt there supposed to be a negation

buoyant garnet Oct 11, 2024, 2:52 AM

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finite jolt Oct 11, 2024, 2:52 AM

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yeah

buoyant garnet Oct 11, 2024, 2:52 AM

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versed mica Oct 11, 2024, 2:52 AM

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brother

buoyant garnet Oct 11, 2024, 2:52 AM

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finite jolt Oct 11, 2024, 2:52 AM

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buoyant garnet One message removed from a suspended account.

derivate of f(g(x)) is f’(g(x)*g’(x)

versed mica Oct 11, 2024, 2:52 AM

#

yep

versed mica Oct 11, 2024, 2:52 AM

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buoyant garnet One message removed from a suspended account.

no

finite jolt Oct 11, 2024, 2:52 AM

#

in this case g(x) is 30-t or whatever

versed mica Oct 11, 2024, 2:52 AM

#

from -t

buoyant garnet Oct 11, 2024, 2:53 AM

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versed mica Oct 11, 2024, 2:53 AM

#

brother i know you know the chain rule

#

we’ve done problems that involve it

buoyant garnet Oct 11, 2024, 2:53 AM

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versed mica Oct 11, 2024, 2:53 AM

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😭

versed mica Oct 11, 2024, 2:53 AM

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buoyant garnet One message removed from a suspended account.

no

finite jolt Oct 11, 2024, 2:53 AM

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no

versed mica Oct 11, 2024, 2:53 AM

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for instance

#

the derivative of sin(2x) = 2cos(2x)

buoyant garnet Oct 11, 2024, 2:54 AM

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versed mica Oct 11, 2024, 2:54 AM

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derivative of e^(x^2) is 2xe^(x^2)

buoyant garnet Oct 11, 2024, 2:54 AM

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versed mica Oct 11, 2024, 2:54 AM

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buoyant garnet One message removed from a suspended account.

no

#

that’s power rule

buoyant garnet Oct 11, 2024, 2:54 AM

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versed mica Oct 11, 2024, 2:54 AM

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finite jolt derivate of f(g(x)) is f’(g(x)*g’(x)

^

buoyant garnet Oct 11, 2024, 2:55 AM

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versed mica Oct 11, 2024, 2:55 AM

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🤔

buoyant garnet Oct 11, 2024, 2:55 AM

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finite jolt Oct 11, 2024, 2:55 AM

#

Okay then

#

You should probably learn it

buoyant garnet Oct 11, 2024, 2:55 AM

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versed mica Oct 11, 2024, 2:55 AM

#

yo kenzo we have

buoyant garnet Oct 11, 2024, 2:55 AM

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finite jolt Oct 11, 2024, 2:55 AM

#

what is f(x) in this case

buoyant garnet Oct 11, 2024, 2:55 AM

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versed mica Oct 11, 2024, 2:56 AM

#

if you don’t want to use chain rule then distribute

#

and only use power rule

buoyant garnet Oct 11, 2024, 2:56 AM

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finite jolt Oct 11, 2024, 2:56 AM

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yes but chain rule is arguably the most important differentiating rule

#

and youll need it eventually

#

if not today in 2 weeks

versed mica Oct 11, 2024, 2:56 AM

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this isn’t the place to learn it though

buoyant garnet Oct 11, 2024, 2:56 AM

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versed mica Oct 11, 2024, 2:56 AM

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@buoyant garnet

buoyant garnet Oct 11, 2024, 2:56 AM

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finite jolt Oct 11, 2024, 2:57 AM

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ah alr

versed mica Oct 11, 2024, 2:57 AM

#

did you read the damn book

finite jolt Oct 11, 2024, 2:57 AM

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Then expand it

versed mica Oct 11, 2024, 2:57 AM

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by mcmullen

buoyant garnet Oct 11, 2024, 2:57 AM

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finite jolt Oct 11, 2024, 2:57 AM

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buoyant garnet One message removed from a suspended account.

libgen devilish

buoyant garnet Oct 11, 2024, 2:57 AM

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versed mica Oct 11, 2024, 2:57 AM

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devilish

buoyant garnet Oct 11, 2024, 2:57 AM

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finite jolt Oct 11, 2024, 2:57 AM

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devilish

versed mica Oct 11, 2024, 2:57 AM

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buoyant garnet One message removed from a suspended account.

brother

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devilish

versed mica Oct 11, 2024, 2:57 AM

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finite jolt libgen <:devilish:882819553686609981>

^

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we can’t promote this though

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i’ll dm you

buoyant garnet Oct 11, 2024, 2:58 AM

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finite jolt Oct 11, 2024, 3:00 AM

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Alright uh

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expand 30-t

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swuared

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Then its just a simple power rule

buoyant garnet Oct 11, 2024, 3:01 AM

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versed mica Oct 11, 2024, 3:02 AM

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f(x) is really x^2

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then g(x) is 30-x

buoyant garnet Oct 11, 2024, 3:02 AM

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finite jolt Oct 11, 2024, 3:02 AM

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Great

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Differentiate

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And go from there

buoyant garnet Oct 11, 2024, 3:03 AM

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finite jolt Oct 11, 2024, 3:03 AM

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Yes

buoyant garnet Oct 11, 2024, 3:03 AM

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finite jolt Oct 11, 2024, 3:03 AM

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Wait a minute

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Where the hell did the 200 go

buoyant garnet Oct 11, 2024, 3:03 AM

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finite jolt Oct 11, 2024, 3:04 AM

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its being multiplied

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not added

buoyant garnet Oct 11, 2024, 3:04 AM

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finite jolt Oct 11, 2024, 3:04 AM

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Is derivative of 2x the same as x

buoyant garnet Oct 11, 2024, 3:04 AM

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finite jolt Oct 11, 2024, 3:04 AM

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Exactly

buoyant garnet Oct 11, 2024, 3:04 AM

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finite jolt Oct 11, 2024, 3:05 AM

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..what

versed mica Oct 11, 2024, 3:05 AM

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brother

buoyant garnet Oct 11, 2024, 3:05 AM

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versed mica Oct 11, 2024, 3:05 AM

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d/dx cf(x) = cf’(x)

buoyant garnet Oct 11, 2024, 3:05 AM

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versed mica Oct 11, 2024, 3:05 AM

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constant multiple

buoyant garnet Oct 11, 2024, 3:05 AM

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versed mica Oct 11, 2024, 3:06 AM

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dawg we’ve been doing problems that involve this for weeks

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are you ok

buoyant garnet Oct 11, 2024, 3:06 AM

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versed mica Oct 11, 2024, 3:06 AM

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give your brother back the controller

finite jolt Oct 11, 2024, 3:06 AM

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okay look studying while sleep deprived is not

buoyant garnet Oct 11, 2024, 3:06 AM

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finite jolt Oct 11, 2024, 3:06 AM

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How do you know product rule and not

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constant multiple

buoyant garnet Oct 11, 2024, 3:06 AM

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finite jolt Oct 11, 2024, 3:06 AM

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You can derive constant multiple from product rule

buoyant garnet Oct 11, 2024, 3:06 AM

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finite jolt Oct 11, 2024, 3:07 AM

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anyway

buoyant garnet Oct 11, 2024, 3:07 AM

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finite jolt Oct 11, 2024, 3:07 AM

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Yes

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Plug in 10

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and the torture will be over

buoyant garnet Oct 11, 2024, 3:07 AM

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finite jolt Oct 11, 2024, 3:08 AM

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sure

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sounds right

buoyant garnet Oct 11, 2024, 3:08 AM

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finite jolt Oct 11, 2024, 3:09 AM

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whats the right one

buoyant garnet Oct 11, 2024, 3:09 AM

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finite jolt Oct 11, 2024, 3:09 AM

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oh wait

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The question might be kind of cheeky

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wait nvm

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Also the answer cannot be a positive number

buoyant garnet Oct 11, 2024, 3:10 AM

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finite jolt Oct 11, 2024, 3:11 AM

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The fuck is photomath

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the math is saying -8000

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tsrust math

buoyant garnet Oct 11, 2024, 3:11 AM

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finite jolt Oct 11, 2024, 3:11 AM

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fuck it put it in wolframalpha

buoyant garnet Oct 11, 2024, 3:12 AM

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finite jolt Oct 11, 2024, 3:12 AM

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,w derivative of 200(30-t)^2 at t=10

jolly parrotBOT Oct 11, 2024, 3:12 AM

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Results provided by WolframAlpha

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finite jolt Oct 11, 2024, 3:12 AM

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see

buoyant garnet Oct 11, 2024, 3:12 AM

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finite jolt Oct 11, 2024, 3:12 AM

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buoyant garnet One message removed from a suspended account.

Wait what are the steps

buoyant garnet Oct 11, 2024, 3:13 AM

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finite jolt Oct 11, 2024, 3:13 AM

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It says on there

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show steps

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what does it say there

buoyant garnet Oct 11, 2024, 3:13 AM

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finite jolt Oct 11, 2024, 3:17 AM

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Hi

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anyway

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We got part 1

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Part 2 now

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Its pretty simple

buoyant garnet Oct 11, 2024, 3:17 AM

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pearl pondBOT Oct 11, 2024, 3:27 AM

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Channel closed

Closed by @buoyant garnet

Use .reopen if this was a mistake.

pearl pondBOT Oct 11, 2024, 3:42 AM

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ruby wadi Oct 11, 2024, 3:51 AM

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My main question is about v-w. When graphing, do you graph the resulting matrix or rather just v connecting v?