Evaluate the surface integral positive (outward) orientation. 176π 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 F(x, y, z) = -xi-yj + z³k, S is the part of the cone z = X x² + y2 between the planes z = 1 and z = 3 with downward orientation

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 29E
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Evaluate the surface integral
positive (outward) orientation.
F(x, y, z) = -xi - yj + z³k, S is the part of the cone z = √√x² + y² between the planes z = 1 and z = 3 with downward orientation
176T
SS.F.
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
X
Transcribed Image Text:Evaluate the surface integral positive (outward) orientation. F(x, y, z) = -xi - yj + z³k, S is the part of the cone z = √√x² + y² between the planes z = 1 and z = 3 with downward orientation 176T SS.F. 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 X
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