A spring hanging from the ceiling vibrates up and down. it's vertical position at time (t) is given by f(t)=4 sin(3t). (a) Find the velocity of the spring at time t. (b) What is the spring's maximum speed. (c) what is location when it reaches its maximum speed.

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can you find the derivative of:
\[x(t) = 4\sin(3t)\]

Yes that is the ans of a.what about b and c parts?

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