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Use the surface integral in Stokes' Theorem to calculate the flux of the curl of the field F =x =x*yi + 3y°zj + zk across the surface S: r(r,0) = r cos Oi + r sin 0j + rk, Osrs1,0s0< 2n in the direction with a positive k-component for n. The flux of the curl of the field F is (Type an exact answer, using n as needed.)

Use the surface integral in Stokes' Theorem to calculate the flux of the curl of the field F =x =x*yi + 3y°zj + zk across the surface S: r(r,0) = r cos Oi + r sin 0j + rk, Osrs1,0s0< 2n in the direction with a positive k-component for n. The flux of the curl of the field F is (Type an exact answer, using n as needed.)

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=x2yi+3y3zj+zk
across the surface​ S:
r(r,θ)=r cos θi+r sin θj+rk​,
0≤r≤1,
0≤θ≤2π
in the direction with a positive
k​-component
for
n.
 
 
3 Use the surface integral in Stokes' Theorem to calculate the flux of the curl of the field F = xyi + 3y°zj + zk across the surface S: r(r,0) =r cos Oi +r sin 0j + rk, Osrs1, 0<0<2n in the direction with a positive k-component for n. ..... The flux of the curl of the field F is (Type an exact answer, using t as needed.)
Transcribed Image Text:3 Use the surface integral in Stokes' Theorem to calculate the flux of the curl of the field F = xyi + 3y°zj + zk across the surface S: r(r,0) =r cos Oi +r sin 0j + rk, Osrs1, 0<0<2n in the direction with a positive k-component for n. ..... The flux of the curl of the field F is (Type an exact answer, using t as needed.)
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