Chapter 13: Q.65 (page 1040)
Use the lamina from Exercise 64, but assume that the density is proportional to the distance from the x-axis.
Short Answer
The Center of mass of the lamina is at
Chapter 13: Q.65 (page 1040)
Use the lamina from Exercise 64, but assume that the density is proportional to the distance from the x-axis.
The Center of mass of the lamina is at
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Get started for freeEvaluate each of the double integrals in Exercises 37–54 as iterated integrals.
Explain why it would be difficult to evaluate the double integrals in Exercises 18 and 19 as iterated integrals.
Discuss the similarities and differences between the definition of the double integral found in Section and the definition of the triple integral found in this section.
Use the results of Exercises 59 and 60 to find the centers of masses of the laminæ in Exercises 61–67.
Use the lamina from Exercise 61, but assume that the density is proportional to the distance from the x-axis.
Explain how the Fundamental Theorem of Calculus is used in evaluating the iterated integral .
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