Chapter 13: Q 24. (page 1066)
Give the cylindrical and spherical coordinates for the point with rectangular coordinates
Chapter 13: Q 24. (page 1066)
Give the cylindrical and spherical coordinates for the point with rectangular coordinates
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Get started for freeIn 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 ofR is uniform throughout.
(a) Without using calculus, explain why the center of mass is (2, 3/2, 1).
(b) Verify that the center of mass is (2, 3/2, 1), using the appropriate integral expressions.
In Exercises 45–52, rewrite the indicated integral with the specified order of integration.
Exercise 41 with the order dy dx dz.
Evaluate each of the double integral in the exercise 37-54 as iterated integrals
Describe the three-dimensional region expressed in each iterated integral in Exercises 35–44.
Explain how the Fundamental Theorem of Calculus is used in evaluating the iterated integral.
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