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

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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.
Transcribed Image Text: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.
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