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1. To Pass this question you must: (3.) Compute the divergence of F. Be sure to pay attention to the domain of 13. (b) Compute

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1. To Pass this question you must: (3.) Compute the divergence of F". Be sure to pay attention to the domain of 13". (b) Compute the given line integral. (c) Correctly determine whether 16 is conservative, and give a coherent explanation of how you arrived at your determination. (d) Correctly determine whether a function C? With the given properties exists, and give a coherent explanation of how you arrived at your determination. (e) Show all relevant steps for each calculation. (f) Present your work in a coherent manner. 1. Consider the function: Preform the following tasks: (a) Compute the divergence of 17". (b) Compute f 13" -df" Where 0 is the circle of radius 1 centered at the origin oriented counterclockwise. c (c) Determine whether 13'" conservative. ((1) Determine whether there is a conservative function (3 : R3 > R3 dened everywhere except (0, 0, 0) with continuous partial derivatives so that for all (93, y) # 0 we have: (m,y,0) =

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