Question: 1) The solid bounded between the paraboloid z = x 2 + y 2 and the plane z = 4 has density function (x, y,

1) The solid bounded between the paraboloidz=x2+y2 and the plane z = 4 has density function (x, y, z) =z+11

A) Sketch the solid and draw the region in the xy-plane over which you are integrating

B) Set up the integral to find the mass of this solid in both rectangular and cylindrical coordinates

2) EvaluateC2x+yds along the path on the quarter circle of radius 3 from (3,0) to (0,3)

3) Compute the value of and sketch the vector field F(x, y) =<y,xy2> at the points (1,0),(-1,1), (1,1),(2,1) (0,1), and (0,2)

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