Use the surface integral in Stokes' Theorem to calculate the flux of the curl of the field F across the surface Si F = 4yi + (5-2x)j + (z²-2)k S: r(0, 0) =(√6 sin cos 0) i + (√√6 sin o sin 0)j + (√√6 cos ) k, 0≤ ≤r/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 as needed.)
Use the surface integral in Stokes' Theorem to calculate the flux of the curl of the field F across the surface Si F = 4yi + (5-2x)j + (z²-2)k S: r(0, 0) =(√6 sin cos 0) i + (√√6 sin o sin 0)j + (√√6 cos ) k, 0≤ ≤r/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 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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![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 + (5-2x)j + (z² - 2)k
S: r(0, 0) =(√6 sin cos 0) i + ( √5 sin ô sin 0)j + (√√6 cos ¢) k, 0≤ ≤r/2, 0≤0≤2r
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 as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F609191b6-0aff-477d-8910-61edd76acc39%2Fe43c16b9-c381-4c7a-8df9-5f1a34110a6a%2Funy593e_processed.png&w=3840&q=75)
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 = 4yi + (5-2x)j + (z² - 2)k
S: r(0, 0) =(√6 sin cos 0) i + ( √5 sin ô sin 0)j + (√√6 cos ¢) k, 0≤ ≤r/2, 0≤0≤2r
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 as needed.)
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