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Section 13.8: Problem 7 (1 point) Verify Stokes' theorem for the helicoid I(r, 0) = (r cos 0, r sin 0, @) where (r, 0)

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Section 13.8: Problem 7 (1 point) Verify Stokes' theorem for the helicoid I(r, 0) = (r cos 0, r sin 0, @) where (r, 0) lies in the rectangle [0, 1] x [0, 7 /2], and F is the vector field F = (82, 5x, 7y). First, compute the surface integral: SM(V x F) . as = fa fa f(r, 0) dr do, where a =].b=[.c=.d =]. and f (r, 0 ) = (use "t" for theta). Finally, the value of the surface integral is Next compute the line integral on that part of the boundary from (1, 0, 0) to (0, 1, #/2). SoF . dr = fog(0) de, where a =.b= and g(0) = (use "t" for theta)

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