@jim_thompson5910
More Calculus funfunfunfun.
In case you need this again: http://cyh.leeschools.net/UserContent/Documents/AP%20CalcBC%20SumAssign%2014-15.pdf
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OpenStudy (anonymous):
not funfunfunfun
jimthompson5910 (jim_thompson5910):
more like \(\Large (fun)^4\)
where did we leave off?
OpenStudy (marissalovescats):
Very funfunfunfun
OpenStudy (marissalovescats):
Weeeeee did 28 last
jimthompson5910 (jim_thompson5910):
ok so 76 is up next
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jimthompson5910 (jim_thompson5910):
quite a jump, but oh well
OpenStudy (marissalovescats):
Yeah it jumps because 28-75 are question on the AP calc BC test and the AB test is 60% AB
OpenStudy (marissalovescats):
First things first with 76 we have to take the derivative to get acceleration equation right?
jimthompson5910 (jim_thompson5910):
i gotcha
jimthompson5910 (jim_thompson5910):
yep
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OpenStudy (marissalovescats):
Would it just be -4.1sin(0.9t)?
jimthompson5910 (jim_thompson5910):
you're forgetting to derive the inside
jimthompson5910 (jim_thompson5910):
you multiply by the derivative of 0.9t (I'm using the chain rule)
OpenStudy (marissalovescats):
What do you mean?
OpenStudy (marissalovescats):
Oh
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OpenStudy (marissalovescats):
-4.1sin(0.9)?
OpenStudy (marissalovescats):
Oh you want to use the chain rule on the inside part?
OpenStudy (marissalovescats):
-4.1sin(0.9t)(0.9)
jimthompson5910 (jim_thompson5910):
better
jimthompson5910 (jim_thompson5910):
it should be -4.1sin(0.9t)(0.9)
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OpenStudy (marissalovescats):
OS is being really weird
jimthompson5910 (jim_thompson5910):
for some reason, the messages are being delivered out of order?
OpenStudy (marissalovescats):
I plugged in 4 but I didn't get an answer in the choices
jimthompson5910 (jim_thompson5910):
I'm getting -4.1sin(0.9*4)(0.9) = 1.632900435758
OpenStudy (marissalovescats):
I didnt get that lol
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jimthompson5910 (jim_thompson5910):
hmm well I'm in radian mode, idk if that's what mode they want?
OpenStudy (marissalovescats):
Yeah it probably does
jimthompson5910 (jim_thompson5910):
honestly I have no clue how to tell which mode to be in since they don't give any hints
but calculus tends to favor radians a lot more than degrees I've noticed
OpenStudy (marissalovescats):
Yeah I used 1.633
jimthompson5910 (jim_thompson5910):
I've even seen one calc teacher have a radian clock in his class
so it looks like C
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OpenStudy (marissalovescats):
I don't know how to do 77 at all lol
jimthompson5910 (jim_thompson5910):
what do integrals represent visually?
OpenStudy (marissalovescats):
Area under a graph
jimthompson5910 (jim_thompson5910):
so what does the integral from -3 to 3 represent?
OpenStudy (marissalovescats):
Area under the graph from x=-3 to x=3
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jimthompson5910 (jim_thompson5910):
if the curve is above the x axis, then you have positive area under the curve (like in region B)
jimthompson5910 (jim_thompson5910):
when the curve is below the x axis, you have negative area (like in region A)
the negative area counter balances the positive area
OpenStudy (marissalovescats):
Welp never was taught that hahaha
jimthompson5910 (jim_thompson5910):
hmm interesting
OpenStudy (marissalovescats):
Oh wait I just reread the problem
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