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3.4 Exercise 116

Avg difficulty 2.5

A rain drop hitting a lake makes a circular ripple. If the radius, in inches, grows as a function of time in minutes according to r(t)=25 t+2 , r \left(t\right) = 25 \sqrt{t + 2} , find the area of the ripple as a function of time. Find the area of the ripple at t=2. t = 2.

OpenStax Algebra and Trigonometry 2e, 3.4 Composition of Functions, exercise 116

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.