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Exercises

  1. Use Maple to compute the following double integrals.
  2. Explain how the Maple commands in the Visualizing with Maple section follow from the theory at the end of that same section.
  3. For the following functions and regions, compute the volume between the region and the graph of the function and produce a plot of the solid so generated.
    1. Between the circle and the function .
    2. Between the region in the x-y plane containing the origin and bounded by the two curves and and the function .
  4. Find the volume of the first octant part of the solid bounded by the cylinders and . Also, generate a three-dimensional plot of the surface of the solid.



William W. Farr
Sun Sep 10 17:29:28 EDT 1995