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Exercise 14

Avg difficulty 2.5

Several applied functions are given below. In each case, find the indicated quantity (including unit) and interpret the value in the context of the application.

The elevation of a ping pong ball relative to the table top (in m) is given by the function h(t)=1.1∣cos⁡(2πt3)∣\fe{h}{t}=1.1\abs{\fe{\cos}{\frac{2\pi t}{3}}} where tt is the amount of time (s) that has passed since the ball went into play. Find and interpret h(3)−h(1.5)3−1.5\frac{\fe{h}{3}-\fe{h}{1.5}}{3-1.5}.

Simonds, Calculus Lab Manual, §1.4 Supplement, Exercise 14

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