Explanation Given : The area of the square is 16 cm 2 and rate of change of side is 6 cm / s . Calculation: The area of the square is s 2 , where s is the side of the square. Substitute 16 for A in equation A = s 2 to obtain the side. 16 = s 2 16 = s s = 4 Differentiate the function A = s 2 with respect to time t as follows: d d t ( A ) = d d t ( s 2</

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ISBN: 9781133109631

Author: Stewart, JAMES, Day, Troy

Publisher: Cengage Learning,

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Chapter 3.5, Problem 85E

To determine

The rate at which the area is increasing if the area of the square is 16 cm2 .

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Chapter 3.5, Problem 84E

Chapter 3.5, Problem 86E

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Chapter 3 Solutions

Biocalculus

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The rate at which the area is increasing if the area of the square is 16 cm 2 .

Solution Summary: The author calculates the rate at which the area is increasing if the square is 16cm2. Substitute 16 for A to obtain the side.

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The rate at which the area is increasing if the area of the square is 16 cm2 .

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Chapter 3 Solutions