Chapter 13: Q 32. (page 1039)
Let be triangular region with vertices
If the density at each point in is proportional to the point’s distance from the -axis, find the mass of .
Short Answer
The mass is
Chapter 13: Q 32. (page 1039)
Let be triangular region with vertices
If the density at each point in is proportional to the point’s distance from the -axis, find the mass of .
The mass is
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Get started for freeExplain how the Fundamental Theorem of Calculus is used in evaluating the iterated integral .
Evaluate each of the integrals in exercise 33-36 as iterated integrals and then compare your answers with those you found in exercise 29-32
Evaluate each of the double integrals in Exercises 37–54 as iterated integrals.
In Exercises 61–64, let R be the rectangular solid defined by
Assume that the density of R is uniform throughout, and find the moment of inertia about the x-axis and the radius of gyration about the x-axis.
Discuss the similarities and differences between the definition of the definite integral found in Chapter 4 and the definition of the double integral found in this section.
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