Use the surface integral in Stokes' Theorem to calculate the flux of the curl of the field F = x²yi + 3y³zj + 3zk across the surface S: r(r,0) = r cos 0i+r sin 0j +rk, 0≤rs 5, 0≤0 ≤2 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 x as needed.).

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Use the surface integral in Stokes' Theorem to calculate the flux of the curl of the field F=x²yi + 3y³zj+3zk across the surface S: r(r,0) = r cos 0i+ r sin 0j +rk, 0≤r≤5, 0≤0 ≤2 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 as needed.)
Transcribed Image Text:Use the surface integral in Stokes' Theorem to calculate the flux of the curl of the field F=x²yi + 3y³zj+3zk across the surface S: r(r,0) = r cos 0i+ r sin 0j +rk, 0≤r≤5, 0≤0 ≤2 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 as needed.)
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