9. Let S be the surface given by the graph of the paraboloid z =1-22 – y when z>0, and C its border (C = as). Consider t
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9. Let S be the surface given by the graph of the paraboloid z =1-22 – y when z>0, and C its border (C = as). Consider t
9. Let S be the surface given by the graph of the paraboloid z =1-22 – y when z>0, and C its border (C = as). Consider the vector field F = 2yi + 3cj – zk. (a) Write the work done by F along C as an integral of a function in terms of x, y, and z in ds(C). (b) Write the work done by F along C as an integral of a function in terms of r, y, and z in dA(S). (c) Evaluate the integral in part (6).
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