5. Let Q be the region enclosed by the graph r² + y² +z² = 9, and let S be the corresponding surface (S = aQ). Consider the vector field F = 3ri + 2yj+ zk. (a) Write the flux of F through S as an integral of a function in terms of x, y, and z in dA(S). (b) Write the flux of F through S as an integral of a function in terms of x, y, and z in dV(Q). (c) Write the flux of E through S as an iterative integral in cylindrical coordinates dr, do, and dz (DO NOT EVALUATE). (d) Write the flux of F through S as an iterative integral in spherical coordinates de, dọ, and dp. (e) Evaluate the integral in part (d).

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A: Part iii Given, The identity of the vector product of two vector fields is proved.

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Q: Positive Positive Negative WIN WIN AS

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A: Given vector field, So,

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A: We apply formula for finding this

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A: The solution is given below

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