Mathematics, 29.10.2019 21:31 clevelandjaniya
Problem 4: let f = (2z + 2)k be the flow field. answer the following to verify the divergence theorem: a) use definition to find the upward flux (normal vector pointing upward in z direction) along the hemisphere given in problem 1(b). b) use definition to find the downward flux on the circle x 2 + y 2 ≤ 3 on the xy-plane. c) using the results from parts (a) and (b), what is the net flux over the closed northern hemisphere? d) use the divergence theorem to verify that this answer agrees. [hint: dv = rho 2 sin ϕ drho dθ dϕ.]
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Problem 4: let f = (2z + 2)k be the flow field. answer the following to verify the divergence theor...
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