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Chapter 13: Q 16. (page 1066)
What geometric conditions do you look for when you are deciding which coordinate system to use in ?
The geometric condition is region of integration.
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Evaluate each of the double integrals in Exercisesas iterated integrals.
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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.
In Exercises 57鈥�60, let R be the rectangular solid defined by
R = {(x, y, z) | 0 鈮� x 鈮� 4, 0 鈮� y 鈮� 3, 0 鈮� z 鈮� 2}.
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.
Explain why it would be difficult to evaluate the double integrals in Exercises 18 and 19 as iterated integrals.
In Exercises 45鈥�52, rewrite the indicated integral with the specified order of integration.
Exercise 41 with the order dy dx dz.
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