Let F be a vector field with continuous partial derivativesat all points in 3-space. Let
Chapter 20, Problem 26(choose chapter or problem)
Let F be a vector field with continuous partial derivativesat all points in 3-space. Let S1 be the upper half ofthe sphere of radius 1 centered at the origin, oriented upward.Let S2 be the disk of radius 1 in the xy-plane centeredat the origin and oriented upward. Let C be the unitcircle in the xy-plane, oriented counterclockwise whenviewed from above. For each of the following integrals,say whether or not it is defined. If it is defined, list whichof the other integrals it must equal (if any) and name thetheorem.(a)CF dr (b)CF dA(c)S1F dr (d)S2F dA(e)S1curlF dA (f)S2curlF dA(g)CcurlF dr
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