Set up and evaluate a double integral to find the volume of the solid bounded by the graphs of the equations. z = x + y x² + y2 = 64 first octant

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...
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Set up and evaluate a double integral to find the volume of the solid bounded by the graphs of the equations.
z = x + y
x² + y?
64
first octant
8
V 64 – x?
V =
x +y
dy dx =
Additional Materials
Transcribed Image Text:Set up and evaluate a double integral to find the volume of the solid bounded by the graphs of the equations. z = x + y x² + y? 64 first octant 8 V 64 – x? V = x +y dy dx = Additional Materials
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