Question: Let s(t) = t a. Find the average rate of change of s (t) with respect to t as t changes from t = 1

Let s(t) = √t

a. Find the average rate of change of s (t) with respect to t as t changes from t = 1 to t = 1/4.

b. Use calculus to find the instantaneous rate of change of s(t) at t = 1, and compare with the average rate found in part (a).

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