#anyone understand this, its IB math hl

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leaden bayBOT
neat shuttle
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i’m here for help

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@robust scaffold

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you re stuck at what question?

robust scaffold
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how do i create a channel?

neat shuttle
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nvm

robust scaffold
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the whole thing i dont get

neat shuttle
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did you do physics?

robust scaffold
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yeah

neat shuttle
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so you have v a function and E another function which is equal to 3v^2

robust scaffold
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yeah i thought of putting the value of v(T) into E(V)

neat shuttle
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you know that v(t) = 2 cos(t)

neat shuttle
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that way you get E(t)

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instead of E(v)

robust scaffold
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is it 3(cos(t))^2

neat shuttle
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there’s a 2 missing i guess

robust scaffold
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wdym the power?

neat shuttle
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no v = 2 cos(t)

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so v^2 = …

robust scaffold
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idk man

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what do u substitute into what

neat shuttle
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imagine x= 3 times 5

robust scaffold
neat shuttle
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x^2 = (3 times 5)^2 = (3^2) times (5^2)

neat shuttle
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question 1 is done

robust scaffold
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dab

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thanks

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now question 2

neat shuttle
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now you have to derive what you found

robust scaffold
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do i use product rule

neat shuttle
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use whatever you like

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i want to teach you how to fail and learn from your mistakes

robust scaffold
neat shuttle
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first mistake :

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when you derive a cos(x)

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you get ….

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@robust scaffold

robust scaffold
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but its just a cos

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not a cosine

neat shuttle
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cosine is the full name of cos

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anyways

robust scaffold
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its a -sin

neat shuttle
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you wrote v’= …

robust scaffold
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so its -sin^2t

neat shuttle
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no

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(cos(x)^2 )’ = -2 sin(x)cos(x)

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here’s the proof:

robust scaffold
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so is it -2sin(t)

neat shuttle
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(cos(t) x cos(t) )’ = -sin(t)xcos(t) - cos(t)xsin(t) = -2cos(t)xsint(t)

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are you still with me ?

robust scaffold
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yh is this the product rule

neat shuttle
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yeah

robust scaffold
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wait give me a min

neat shuttle
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you normally use the product rule with functions and not constants like 12 or 23 or 50

robust scaffold
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sorry im dumb af

neat shuttle
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it is related because you should derive cos^2(t) to derive E

robust scaffold
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so why are u deriving cos(t) instead of cos^2(t) in the question

robust scaffold
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yeah

neat shuttle
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cos(t) x cos(t) = cos^2(t)

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the little x is times

robust scaffold
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doesnt it become cos^2(t)^2

neat shuttle
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ohh

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no

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cos^2(t) = cos(t)^2 it’s just a different notation

robust scaffold
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oh ok

neat shuttle
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BUT!!!! it’s not the same as cos(t^2)

robust scaffold
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but if you multiply cos(t) with itself dont u get that

robust scaffold
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if you square it

neat shuttle
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the idea of squaring is to multiply the same thing by itself

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so 2^2 = 2x2= 4

robust scaffold
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i know but doesnt it give cos^2(t)^2

neat shuttle
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cos x cos = cos^2

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cos(t)^2 = cos^2(t)

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cos^2(t)^2 doesn’t make sense because you’re using two notation to signify the same thing at the same time

robust scaffold
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whats sin x sin

neat shuttle
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sin^2

robust scaffold
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my bad looooool

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so the answer is -sin^2(t)

neat shuttle
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not even close

robust scaffold
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eeshh

neat shuttle
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derive me this : cos(t) x cos(t)

robust scaffold
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cos^2(t)

neat shuttle
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yeah derive it

robust scaffold
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2cos(t)

neat shuttle
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no

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again

robust scaffold
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-2sin(t)

neat shuttle
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no

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again

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write it down

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you have 2 minutes

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or i’m gone

robust scaffold
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geez

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ok

neat shuttle
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times up

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what you got ?

robust scaffold
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let me show u what i got

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its the same thing

neat shuttle
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use the product rule

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on the cos(t) x cos(t)

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do it one more time

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30 secondes

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times up

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show me what you did @robust scaffold

robust scaffold
neat shuttle
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perfect

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so you got -2 cos(t)sin(t)

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that’s it

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for question 2

robust scaffold
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how is it -2cos(t)

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wait i think i got it

neat shuttle
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i’m gonna leave you here, it’s 1:44 am for me

robust scaffold
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ok thanks for all the help fr

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but u multiply with 12 ryt

neat shuttle
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but here’s how you should do question 3: - you should find t so when you plug this t in E’ you get 4 and there you have the answer

neat shuttle
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good bye

robust scaffold
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so t is 4

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bet bye

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thanks allat

tough pulsar
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.close