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[7.4.1] Use Stokes' theorem to evaluate j) F - d? where I? = (yz, 232:, em?!) and C is the circle 9:2 + y? =
[7.4.1] Use Stokes' theorem to evaluate j) F - d? where I? = (yz, 232:, em?!) and C is the circle 9:2 + y? = 9, z : 6, traversed counterclockwise when viewed from above. Follow these steps from lecture: (1) Let D be the solid disk with upward pointing normal vector. Parametrize D via u, v) : (11. cos 1), u sin '0, 6) .What are the bounds for u and 'v? mamm- E .3 2)Compute (VX (u, 11)). (Do not enter the answer here) (3) Compute 15, : X )FvNerify (on your own) that it perpendicular to D. ED Is the orientation in the correct direction? |:| (4) Set up and evaluate the surface integral f V X 13" - dg : S First, notice (V X )(?(u, 11)) - (Fu X 77.0) :|:| 80 f V X 13" - (is; = |:| (to the nearest hundredth, 8 please)
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