Chapter 13: Q 43. (page 1039)
Let be rectangle with coordinates
If the density at each point in is proportional to the square of the point’s distance from the -axis, find the center of mass of .
Short Answer
The center of mass is.
Chapter 13: Q 43. (page 1039)
Let be rectangle with coordinates
If the density at each point in is proportional to the square of the point’s distance from the -axis, find the center of mass of .
The center of mass is.
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Get started for freeEvaluate each of the double integrals in Exercises 37–54 as iterated integrals.
Find the volume between the graph of the given function and the xy-plane over the specified rectangle in the xy-plane
Evaluate the iterated integral :
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.
Describe the three-dimensional region expressed in each iterated integral in Exercises 35–44.
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