Explanation Given: y = sin x and y = cos x in the interval 0 = ≤ x ≤ π 4 Calculation: Consider the region between y = sin x and y = cos x in the interval 0 = ≤ x ≤ π 4 Use the Washer Method. “Suppose f and g are continuous functions on [ a , b ] with f ( x ) ≥ g ( x ) ≥ 0. if R is the outer curve y = f ( x ) and r is the inner curve y = g ( x ) , and the region bounded by y = f ( x ) , y = g ( x ) , x = a and x = b is revolved about the x -axis, it generates a solid with volume V = ∫ a b π [ { f ( x ) } 2 − { g ( x ) } 2 ] d x " The function y = cos x is greater than y = sin x as cos x ≥ sin x in the interval [ 0 , π 4 ]

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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Chapter 6.2, Problem 17PS

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To find: the volume of the solid formed.

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Chapter 6.2, Problem 16PS

Chapter 6.2, Problem 18PS

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Chapter 6 Solutions

Student's Solution and Survival Manual for Calculus

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the volume of the solid formed.

Solution Summary: The author calculates the volume of the solid formed using the Washer Method.

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To find: the volume of the solid formed.

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Chapter 6 Solutions