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Stewart_Calc_7ET ch15sec03
MULTIPLE CHOICE
1. Find the volume under and above the region bounded by and .
a.
b.
c.
d.
e.
2. Find the volume of the solid bounded by the surface and the planes
and coordinate planes.
a.
b.
c.
d.
e.
3. For which of the following regions would you use rectangular coordinates?
a.
c.
9
52
b.
4. Calculate the double integral.
a.
b.
c.
d.
e.
NUMERIC RESPONSE
1. Evaluate the double integral.
is bounded by and .
2. Calculate the iterated integral.
3. Evaluate where is the figure bounded by and .
4. Evaluate the double integral.
is bounded by the circle with center the origin and radius .
5. Evaluate the integral by reversing the order of integration.
6. Compute , where is the disk , by first identifying the
integral as the volume of a solid.
7. Evaluate the double integral.
, is triangular region with vertices .
8. Evaluate the integral by reversing the order of integration.
9. Find the volume bounded by the cylinders and .
SHORT ANSWER
1. Evaluate the double integral , where
2. Evaluate the double integral , where is the region bounded by the graphs of
and .
3. Evaluate the double integral , where is the triangular region with vertices
and .
4. Evaluate the iterated integral by reversing the order of integration.
