Evaluate the surface integral F. ds for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation. F(x, y, z) = x i + 5y j + 5z k S is the cube with vertices (±1, ±1, ±1)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 32E
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Evaluate the surface integral
F• dS for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the
positive (outward) orientation.
F(x, y, z) = x i + 5y j + 5z k
S is the cube with vertices (±1, ±1, ±1)
Transcribed Image Text:Evaluate the surface integral F• dS for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation. F(x, y, z) = x i + 5y j + 5z k S is the cube with vertices (±1, ±1, ±1)
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