Chapter 13: Q. 25 (page 1024)
Each of the integrals or integral expressions in Exercise represents the area of a region in the plane. Use polar coordinates to sketch the region and evaluate the expressions.
Short Answer
The integral's value is
Chapter 13: Q. 25 (page 1024)
Each of the integrals or integral expressions in Exercise represents the area of a region in the plane. Use polar coordinates to sketch the region and evaluate the expressions.
The integral's value is
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Get started for freeIn Exercises 61–64, let R be the rectangular solid defined by
Assume that the density of R is uniform throughout.
(a) Without using calculus, explain why the center of
mass is
(b) Verify that is the center of mass by using the appropriate integral expressions.
Evaluate the sums in Exercises .
Evaluate each of the double integral in the exercise 37-54 as iterated integrals
Evaluate each of the double integral in the exercise 37-54 as iterated integrals
Earlier in this section, we showed that we could use Fubini’s theorem to evaluate the integral and we showed that Now evaluate the double integral by evaluating the iterated integral.
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