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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.6: Additional Trigonometric Graphs

Problem 78E

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Use the surface integral in Stokes' Theorem to calculate the flux of the curl of the field F across the surface S in the direction away from the origin.
F= 4yi + (5 - 5x)j + (z - 2)k
S: r(), 0) = (V7 sin o cos 0) i+ (17 sin o sin 0) j+ (V7 cos o) k, 0<o<t/2, 0<0<2n
The flux of the curl of the field F across the surface S in the direction of the outward unit normal n is
(Type an exact answer, using t as needed.)

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Use the surface integral in Stokes' Theorem to calculate the flux of the curl of the field F across the surface S in the direction away from the origin. F= 5yi + (5 - 5x)j + (z² - 2)k S: r(), 0) = (V5 sin p cos e) i+ (V5 sin o sin 0) j+ (V5 cos 4) k, 0 spst/2,0s0s2a The flux of the curl of the field F across the surface S in the direction of the outward unit normal n is (Type an exact answer, using t as needed.)
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