Use Stokes's Theorem to show that 0 = || curl(F) - dS where F(z, y, 2) = (z, 2xy, r+ y) and S s the surface of a glass oriented outwards whose open cap is a circle with equation z? + (z – 2)² = 9. Hint: For the circle you can e the parametrization r(t) = (3 can t, 0, 3 sint + 2),tE [o, 2]

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ISBN:9780470458365
Author:Erwin Kreyszig
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Use Stokes's Theorem to show that 0 = || curl(F) - dS where F(r, Y, z) = (2, 2xy, x + y) and S
is the surface of a glass oriented outwards whose open cap is a circle with equation r? + (z – 2)2 = 9.
Hint: For the circle you can e the parametrixation r(t) = (3 can t, 0, 3 xin t + 2), te [o, 27]
Transcribed Image Text:Use Stokes's Theorem to show that 0 = || curl(F) - dS where F(r, Y, z) = (2, 2xy, x + y) and S is the surface of a glass oriented outwards whose open cap is a circle with equation r? + (z – 2)2 = 9. Hint: For the circle you can e the parametrixation r(t) = (3 can t, 0, 3 xin t + 2), te [o, 27]
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