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 + (2²2-2)k S: r(,0) = (3 sin cos 0)i + (3 sin o sin 8)j + (3 cos )k, 0≤ ≤/2, 0≤0≤2 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 a as needed.)
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 + (2²2-2)k S: r(,0) = (3 sin cos 0)i + (3 sin o sin 8)j + (3 cos )k, 0≤ ≤/2, 0≤0≤2 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 a as needed.)
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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Transcribed Image Text: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 + (2²-2)k
S: r(0, 0) (3 sin cos 0)i + (3 sin o sin 0)j + (3 cos )k, 0≤ ≤/2, 0≤0≤2
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 a as needed.)
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