Explanation Given information: The area of the circle is 1600 π ft 2 and increasing rate is 80 π ft 2 /sec . Calculation: Calculate the radius of a circle, A = π r 2 (1) Substitute 1600 π for A in equation (1) and simplify, 1600 π = π r 2 1600 = r 40 = r r = 40 [ Switch the sides ] Differentiate equation (1) with respect to t and simplify, d A d t = d d t ( π r 2 ) 80 = π ( 2

Applied Calculus for the Managerial, Life, and Social Sciences (MindTap Course List)

10th Edition

ISBN: 9781305657861

Author: Soo T. Tan

Publisher: Cengage Learning

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Chapter 3.6, Problem 53E

To determine

The rate changes in the radius of the circle on the basis of the given area and increasing rate.

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Chapter 3.6, Problem 52E

Chapter 3.6, Problem 54E

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Chapter 3 Solutions

Applied Calculus for the Managerial, Life, and Social Sciences (MindTap Course List)

Ch. 3.1 - State the following rules of differentiation in...Ch. 3.1 - Prob. 2CQ Ch. 3.1 - Prob. 3CQ Ch. 3.1 - Prob. 4CQ Ch. 3.1 - Prob. 1E Ch. 3.1 - Prob. 2E Ch. 3.1 - Prob. 3E Ch. 3.1 - Prob. 4E Ch. 3.1 - Prob. 5E Ch. 3.1 - Prob. 6E

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The rate changes in the radius of the circle on the basis of the given area and increasing rate.

Solution Summary: The author calculates the radius of a circle by substituting 1600pi for A in equation (1) and simplifying the equation with respect to t.

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The rate changes in the radius of the circle on the basis of the given area and increasing rate.

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Chapter 3 Solutions