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=2yi+(5-5x)j +(z² - 2)k S: r(,0)=(√6 sin pcos 0)i + (√6 sino sin 0)j + (√6 cos ) k, 0≤0≤x/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 S in the direction away from the origin. F=2yi+(5-5x)j +(z² - 2)k S: r(,0)=(√6 sin pcos 0)i + (√6 sino sin 0)j + (√6 cos ) k, 0≤0≤x/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 = 2yi+(5-5x)j + (z² - 2)k
S: r(0,0)=(√6 sin cos 0)i + (√6 sin o sin 0)j + (√6 cos ) k, 0≤ ≤π/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.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3c1026a2-02ce-4304-90fa-ce2f48f45210%2F16f088b2-6ac2-418d-a751-4ed1a42c8aa9%2Fwyc4807_processed.jpeg&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 = 2yi+(5-5x)j + (z² - 2)k
S: r(0,0)=(√6 sin cos 0)i + (√6 sin o sin 0)j + (√6 cos ) k, 0≤ ≤π/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.)
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