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(15 pts) Use Stokes Theorem to calculate the circulation of the vector field F = (x2 + z)i + (y? +2x)j + (22 - y)k

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(15 pts) Use Stokes Theorem to calculate the circulation of the vector field F = (x2 + z)i + (y? +2x)j + (22 - y)k along the curve of intersection of the sphere 2 + y? + 22 = 1 with the cone z = vx2 + y traversed in the counterclockwise direction around the z-axiz when viewed from above.5. (10 pts) Use the Divergence Theorem to find the flux of the vector field F = (x+2y)i+(7z- y")k out of the cube-shaped region D = {(x, y, z) : -1

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