Question: Verify Stokes' theorem for the helicoid (r, 0) (rcos 8, r sin 0,0) where (r, 0) lies in the rectangle (0, 1] x [0./2),
Verify Stokes' theorem for the helicoid (r, 0) (rcos 8, r sin 0,0) where (r, 0) lies in the rectangle (0, 1] x [0./2), and F is the vector field F = (2x, 4z, 7y) TE First, compute the surface integral (VF) ds a 0 fr.0)dr do, where f(r.) Finally, the value of the surface integral is a bpi/2 9(0) C 0 Next compute the line integral on that part of the boundary from (1,0,0) to (0.1. m/2) JcF-dr (0) do, where d=1 (use "1" for theta). and (use "T" for theta) and
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