Explanation Given Information: The water is being pumped into a rectangular swimming pool of uniform depth at 10 ft 3 /hr and the pool is 10 ft wide and 25 ft long. Formula used: The volume of a cuboidal of dimension length l , width w and height h is given by, V = l b h According to the chain rule differentiation, if y = f ( u ) , where u = g ( x ) , then y is a differentiable function of x. d y d x = d y d u ⋅ d u d x The derivative of a constant value, k , is d d x ( k ) = 0 Calculation: The volume of a cuboidal of dimension length l , width w and height h is given by, V = l b h Now, as provided that the pool is 10 ft wide and 25 ft long, thus, substitute 10 for w and 25 for l in above equation to get, V = (

11th Edition

ISBN: 9781305713864

Author: HARSHBARGER

Publisher: CENGAGE L

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Chapter 11.4, Problem 39E

To determine

To calculate: The rate at which the water is rising when it is 4 ft deep if the water is being pumped into a rectangular swimming pool of uniform depth at 10 ft3/hr and the pool is 10 ft wide and 25 ft long.

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Chapter 11.4, Problem 38E

Chapter 11.5, Problem 1CP

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Chapter 11 Solutions

MATHEMATICAL APPLICATIONS FOR PKG

Ch. 11.1 - 1. Ch. 11.1 - 2. If Ch. 11.1 - Prob. 3CP Ch. 11.1 - 4. Find . Ch. 11.1 - Prob. 1E Ch. 11.1 - Prob. 2E Ch. 11.1 - Prob. 3E Ch. 11.1 - Prob. 4E Ch. 11.1 - Prob. 5E Ch. 11.1 - Find the derivatives of the functions in Problems...

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The rate at which the water is rising when it is 4 ft deep if the water is being pumped into a rectangular swimming pool of uniform depth at 10 ft 3 /hr and the pool is 10 ft wide and 25 ft long.

Solution Summary: The author calculates the rate at which the water is rising when it is 4ft deep.

To calculate: The rate at which the water is rising when it is 4 ft deep if the water is being pumped into a rectangular swimming pool of uniform depth at 10 ft3/hr and the pool is 10 ft wide and 25 ft long.

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Chapter 11 Solutions