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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 = 5yi + (5 - 2x)j + (z2 - 2)k
S: r(ф, Ө) —
(V10 sin o cos
e)i+ (V10 sin o sin 0) j+ (V10 cos d) k, 0 < ¢p <a/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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