Explanation Given information: Rate of change of area of circular ripple is increasing with respect to time is d A d t = 4 f t 2 / sec & r = 1 ft Concept and Formula Used: Rate of change, d d x x n = n x n − 1 , Area of Circle = π r 2 Calculation: The Area of circular ripple with radius ‘r’ is given by A = π r 2 To find rate of change of radius differentiate both side of area with respect to ' t ' d A d t = d d t [ π r 2 ] d A d t = <

Student's Solution and Survival Manual for Calculus

7th Edition

ISBN: 9781524934040

Author: STRAUSS MONTY J, TODA MAGDALENA DANIELE, SMITH KARL J

Publisher: Kendall Hunt Publishing

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Question

Chapter 3.7, Problem 28PS

To determine

To Calculate:Rate of change of radius of the ripple with respect to time.

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Chapter 3.7, Problem 27PS

Chapter 3.7, Problem 29PS

Chapter 3 Solutions

Student's Solution and Survival Manual for Calculus

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Rate of change of radius of the ripple with respect to time.

Solution Summary: The author calculates the rate of change of radius of Circular ripple with respect to time.

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To Calculate:Rate of change of radius of the ripple with respect to time.

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Chapter 3 Solutions