1. Let S be the portion of the graph z=4 - 2x² - 3y² that lies over the region in the xy-plane bounded by x = 0, y = 0 and x + y = 1. Setup the double integral to compute 11₁,₁ x² + y² + z dS.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 30RE
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1. Let S be the portion of the graph z = 4 - 2x² − 3y2 that lies over the region in the xy-plane bounded
by x = 0, y = 0 and x + y = 1. Setup the double integral to compute
x² + y² + z dS.
Transcribed Image Text:1. Let S be the portion of the graph z = 4 - 2x² − 3y2 that lies over the region in the xy-plane bounded by x = 0, y = 0 and x + y = 1. Setup the double integral to compute x² + y² + z dS.
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