Chapter 13: Q 38 (page 1066)
Describe the graphs of the equations and provide alternative equations in the specified coordinate systems.
. Change to the rectangular and cylindrical systems.
The equation in rectangular coordinates
The equation in cylindrical coordinates
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In Exercises 57–60, let R be the rectangular solid defined by
R = {(x, y, z) | 0 ≤ x ≤ 4, 0 ≤ y ≤ 3, 0 ≤ z ≤ 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.
Evaluate each of the double integrals in Exercises 37–54 as iterated integrals.
Evaluate each of the double integrals in Exercises 37–54 as iterated integrals.
In Exercises 45–52, rewrite the indicated integral with the specified order of integration.
Exercise 41 with the order dy dx dz.
What is the difference between a double integral and an iterated integral?
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