Chapter 13: Q. 64 (page 1040)
In the following lamina, all angles are right angles and the density is constant:
Short Answer
The Center of mass of lamina is
Chapter 13: Q. 64 (page 1040)
In the following lamina, all angles are right angles and the density is constant:
The Center of mass of lamina is
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Get started for freeExplain how to construct a Riemann sum for a function of two variables over a rectangular region.
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 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.
Evaluate each of the double integrals in Exercisesas iterated integrals.
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Evaluate each of the double integrals in Exercises 37–54 as iterated integrals.
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