Determine the flux of the vector field F(x, y, z) = (x, y, z) across the portion of the paraboloid z = 3 – x² - y² in above the plane z = -1 with upward orientation.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 12E
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Determine the flux of the vector field F(x, y, z) = (x, y, z) across the portion of the
paraboloid z = 3 - x² - y² in above the plane z = -1 with upward orientation.
Transcribed Image Text:Determine the flux of the vector field F(x, y, z) = (x, y, z) across the portion of the paraboloid z = 3 - x² - y² in above the plane z = -1 with upward orientation.
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