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Mathematics 18 Online
OpenStudy (arianna1453):

Calculus Help Fan + Medal

OpenStudy (arianna1453):

OpenStudy (arianna1453):

@Photon336 Can you help me on this one?

OpenStudy (photon336):

Let me attempt this: \[\frac{ dy }{ dx } = 4\sin(x) \] \[dy = 4\sin(x)*dx \] \[\int\limits dy = \int\limits 4\sin(x)*dx\] \[y = C-4\cos(x)\]

OpenStudy (arianna1453):

Alright, cool, thats what I got the first time around too.

OpenStudy (photon336):

so that's actually how you would get y given the derivative

OpenStudy (photon336):

\[y(\frac{ \pi }{ 2 }) = 2 \]

OpenStudy (photon336):

\[C-4\cos(\frac{ \pi }{ 2 }) = 2 \] all you need to do is solve for C

OpenStudy (arianna1453):

C=2

OpenStudy (arianna1453):

So the answer is B. 2-4cos(x) Correct?

OpenStudy (photon336):

I don't have a calculator but if you plug in pi/2 it should give you 2

OpenStudy (arianna1453):

Awesome. Could you help me with this one, like setting it up?

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