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# Rate of Change

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(a) Suppose the position of an object moving in a straight line is given by
s(t)=5t^3 - t^2 +9. Find the instantaneous velocity when t=2.

(b) Find the instantaneous rate of change for the function at the given value:
f(x)= x^2 + 5x at x=2

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Hi,

For (a), we will differentiate s(t) with respect to t to get ...

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