Question: 7 A . Let A be a constant. Consider the vector field: F = ( : 2 A x + 2 x y z ,

7A. Let A be a constant. Consider the vector field:
F=(:2Ax+2xyz,4y-y2z+y2cosz,2z-2ysinz:)
Find the value of the constant A so that the outward flux of F through the surface of the solid cylinder x2+y21,0z2 equals zero. Hint - use the Divergence Theorem.
Show your work please and thank you.
7 A . Let A be a constant. Consider the vector

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