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3. Use the surface integral is Stokes' Theorem to calculate the flux of the curl of the field F across the surface S in the direction of the outward unit normal. F = x²yi + 2y³zj + 3zk; S:r(r,0) = (r cos 0)i + (r sin 0)j + rk, 0≤r≤ 1,0 ≤0 ≤ 2π.

3. Use the surface integral is Stokes' Theorem to calculate the flux of the curl of the field F across the surface S in the direction of the outward unit normal. F = x²yi + 2y³zj + 3zk; S:r(r,0) = (r cos 0)i + (r sin 0)j + rk, 0≤r≤ 1,0 ≤0 ≤ 2π.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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3. Use the surface integral is Stokes' Theorem to calculate the flux of the curl of the field F across the surface S in the direction of the outward unit normal. F = x²yi + 2y³zj + 3zk; S:r(r,0) = (r cos 0)i + (r sin 0)j + rk, 0≤r≤ 1,0 ≤0 ≤ 2πt.
Transcribed Image Text:3. Use the surface integral is Stokes' Theorem to calculate the flux of the curl of the field F across the surface S in the direction of the outward unit normal. F = x²yi + 2y³zj + 3zk; S:r(r,0) = (r cos 0)i + (r sin 0)j + rk, 0≤r≤ 1,0 ≤0 ≤ 2πt.
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