Question: 1. Use Stokes' Theorem to evaluate J] curl} - d3 . (a) (20 pts) S is the portion of z = 1 x2 y2 that

1. Use Stokes' Theorem to evaluate J] curl} - d3 . (a) (20 pts) S is the portion of z = 1 x2

(e',x,x2y>. Note: This means use the other side of the equation in

1. Use Stokes' Theorem to evaluate J] curl} - d3 . (a) (20 pts) S is the portion of z = 1 x2 y2 that lies above 5' the xy-plane oriented upward, x, y,z) = (e',x,x2y>. Note: This means use the other side of the equation in Stokes' Theorem. (b) (20 pts) Use Stokes' Theorem to evaluate o (x2 - y3 )dx+ (x+ y? )dy+ (y+z2 )dz, where C is the curve of intersection of the cylinder x + y' =1 and the plane x + z=1 oriented counterclockwise. See the note to (a)

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