Explanation Formula used: The area of the circle is given by A = π r 2 Calculation: Differentiate with respect to the radius (r), we get d A d r = d d r ( π r 2

Calculus

7th Edition

ISBN: 9781524916817

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

Publisher: Kendall Hunt Publishing

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Exponential Growth Model

The relation that represents an exponential function is:

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Question

Chapter 3, Problem 82SP

To determine

To proof: The rate of change of the area of a circle with respect to its radius is equal to the circumference.

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Chapter 3, Problem 81SP

Chapter 3, Problem 83SP

Chapter 3 Solutions

Calculus

Ch. 3.1 - Prob. 1PS Ch. 3.1 - Prob. 2PS Ch. 3.1 - Prob. 3PS Ch. 3.1 - Prob. 4PS Ch. 3.1 - Prob. 5PS Ch. 3.1 - Prob. 6PS Ch. 3.1 - Prob. 7PS Ch. 3.1 - Prob. 8PS Ch. 3.1 - Prob. 9PS Ch. 3.1 - Prob. 10PS

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To proof: The rate of change of the area of a circle with respect to its radius is equal to the circumference.

Solution Summary: The author explains that the rate of change of the area of a circle with respect to its radius is equal to the circumference.

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To proof: The rate of change of the area of a circle with respect to its radius is equal to the circumference.

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Chapter 3 Solutions