Question: . F = 7xi + (y+z)+6zk. . S, is the surface of the cone z = v x2 + 2 below z = 5 oriented

. F = 7xi + (y+z)+6zk. . S, is the surface of the cone z = v x2 + 2 below z = 5 oriented downward. . S2 is the disc of radius 5, centered on the z-axis in the plane z = 5 , oriented upward. . Wis the solid bounded between S, and S2 . S is the closed boundary of W . The volume of a cone is In (a) Find divF = (b) We learned that we can use the Divergence Theorem indirectly to find the flux of a field out of a complicated surface, by finding the total flux of the field out of a closed surface and the flux of the field though a simpler surface. Use the information and process described above to find the flux of F through the cone S1 . Show all work clearly and use proper notation throughout. Give an exact answer. No credit will be given for work showing a direct calculation. F . dA = S 1
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