Use qualitative arguments (i.e., draw surfaces and/or loops on the plots and ascribe mcaning to the vector integrals through or along these) to answer the following ques- tions about the vector ficld below. You may assume that the ficld has no components along the y direction, and also no dependence on y. 2 4 6 8 10
Use qualitative arguments (i.e., draw surfaces and/or loops on the plots and ascribe mcaning to the vector integrals through or along these) to answer the following ques- tions about the vector ficld below. You may assume that the ficld has no components along the y direction, and also no dependence on y. 2 4 6 8 10
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Transcribed Image Text:Use qualitative arguments (i.e., draw surfaces and/or loops on the plots and ascribe
mcaning to the vector integrals through or along these) to answer the following ques-
tions about the vector ficld below. You may assume that the ficld has no components
along the y direction, and also no dependence on y.
2
4 6
8
10
Transcribed Image Text:The ficld in Problem 2 corresponds to the function
V(r, y, z) = x sin z +î cos z.
(a) Compute the divergence of this vector field quantitatively. Does your answer agree with
your answer to Problem 2, part (a)? Resolve the discrepancies if not.
(b) Compute the curl of this vector field quantitatively. Docs your answer agree with your
answer to Problem 2, part (b)? Resolve the discrepancies if not.
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