3. Consider the vector field F = (y,=x,x² + y²). Find the flux of F through S if: (a) S the part of the upside-down paraboloid z = 9 – x² – y² above the xy-plane, oriented upward. (b) S is the...

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Extracted text: 3. Consider the vector field F = (y,=x,x² + y²). Find the flux of F through S if: (a) S the part of the upside-down paraboloid z = 9 – x² – y² above the xy-plane, oriented upward. (b) S is the boundary of the bounded region between the xy-plane and the graph of z = 9 – x2 – y². 4. Let F = (-2, y). Compute the line integral of F over each curve. (a) C1 is the top half of the unit circle, oriented counterclockwise. (h) C2 is the entire unit circle, oriented counterclockwise.