Question

a)   Sketch the solid in the first octant bounded by: z = x^2 + y^2 and...

  1. a)   Sketch the solid in the first octant bounded by: z = x^2 + y^2 and x^2 + y^2 = 1,

b)   Given the volume density which is proportional to the distance from the xz-plane, set up integrals

              for finding the mass of the solid using cylindrical coordinates, and spherical coordinates. c)   Evaluate one of these to find the mass.

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