In problems 11 and 12, do the computation two ways: i) by using the definition of either flux of a vector field or work done by a vector field. ii) by using either the divergence theorem or stoke's theorem. 11. (~Ch16 Review #34) Calculate the flux of F(x, y, z) = < x², y°, z³ > across the closed surface bounded by the cylinder x + y = 1 and by the planes z = 0 and z = 2. %3D
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This is a calculus 3 problem. Please explain each step clearly, no cursive writing.
![In problems 11 and 12, do the computation two ways:
i) by using the definition of either flux of a vector field or work done by a vector field.
ii) by using either the divergence theorem or stoke's theorem.
11. (~Ch16 Review #34) Calculate the flux of F(x,y, z) = < x', y',
,3
.3
across the closed
surface bounded by the cylinder x2 + y2
= 1 and by the planes z = 0 and z =
= 2.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcb9da028-c1e8-4fb4-9df2-7f4287e8030e%2F163f3860-de6a-4d9b-9562-b0984d1bca8c%2F2tx71gh_processed.png&w=3840&q=75)
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