Chapter 13: Q. 14 (page 1003)
Explain why using an iterated integral to evaluate a double integral is often easier than using the definition of the double integral to evaluate the integral.
Short Answer
Ans:
Chapter 13: Q. 14 (page 1003)
Explain why using an iterated integral to evaluate a double integral is often easier than using the definition of the double integral to evaluate the integral.
Ans:
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Get started for freeEarlier in this section, we showed that we could use Fubiniโs theorem to evaluate the integral and we showed that Now evaluate the double integral by evaluating the iterated integral.
Explain how to construct a Riemann sum for a function of three variables over a rectangular solid.
In Exercises, let
If the density at each point in S is proportional to the pointโs distance from the origin, find the moments of inertia about the x-axis, the y-axis, and the origin. Use these answers to find the radii of gyration of S about the x-axis, the y-axis, and the origin.
Evaluate the triple integrals over the specified rectangular solid region.
Evaluate Each of the integrals in exercises 33-36 as an iterated integral and then compare your answer with thoise you found in exercise 29-32
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