a) Find the outward flux of the vector field F(x, y, z) = x³i+y³j + (z³ + xz)k across the surface of the region that is enclosed by the hemisphere z = √√a²-x² - y² and the plane z = 0.

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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a) Find the outward flux of the vector field F(x, y, z) = x³i + y³ j + (z³ + xz)k across the surface of
the region that is enclosed by the hemisphere z =
Va² – x² – y² and the plane z = 0.
Transcribed Image Text:a) Find the outward flux of the vector field F(x, y, z) = x³i + y³ j + (z³ + xz)k across the surface of the region that is enclosed by the hemisphere z = Va² – x² – y² and the plane z = 0.
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