Question: Verify Stokes' theorem for the portion D of the surface z = tan 1 (y/x) which lies inside the cone x 2 + y 2

Verify Stokes' theorem for the portion D of the surface z = tan1 (y/x) which lies inside the cone x2 + y2 = z2 and between the planes

z = 0 and

z = 2

by using the vector field

F = xz i + yz j (x2 + y2 ) k .

Hint: Parametrize the surface z = tan1 (y/x) using polar coordinates

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