Explanation Given: A solid contained in the cylinder x 2 + y 2 = 1 below the surface z = ( x + y ) 2 and below the surface z = − ( x − y ) 2 Calculation: The projection of the cylinder onto plane x − y is the unit circle and is represented as R : 0 ≤ θ ≤ 2 π , 0 ≤ r ≤ 1 Then, the volume of the solid contained in the cylinder x 2 + y 2 = 1 below the surface z = ( x + y ) 2 and below the surface z = − ( x − y ) 2 in polar coordinates is as V = ∫ 0 2 π

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Chapter 16, Problem 31CRE

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The volume of the solid contained in the cylinder $x^{2} + y^{2} = 1$ below the surface $z = {(x + y)}^{2}$ and below the surface $z = - {(x - y)}^{2}$

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Chapter 16, Problem 30CRE

Chapter 16, Problem 32CRE

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Chapter 16 Solutions

Calculus - Standalone book

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The volume of the solid contained in the cylinder x 2 + y 2 = 1 below the surface z = ( x + y ) 2 and below the surface z = − ( x − y ) 2

Solution Summary: The author calculates the volume of the solid contained in the cylinder x 2 + y 2 = 1 below the surface z = (x +

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To calculate:

The volume of the solid contained in the cylinder $x^{2} + y^{2} = 1$ below the surface $z = {(x + y)}^{2}$ and below the surface $z = - {(x - y)}^{2}$

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Chapter 16 Solutions

The volume of the solid contained in the cylinder x 2 + y 2 = 1 below the surface z = ( x + y ) 2 and below the surface z = − ( x − y ) 2

Solution Summary: The author calculates the volume of the solid contained in the cylinder x 2 + y 2 = 1 below the surface z = (x +

Videos

To calculate: The volume of the solid contained in the cylinder x2+y2=1 below the surface z=(x+y)2and below the surface z=−(x−y)2

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Chapter 16 Solutions

To calculate:

The volume of the solid contained in the cylinder $x^{2} + y^{2} = 1$ below the surface $z = {(x + y)}^{2}$ and below the surface $z = - {(x - y)}^{2}$