Chapter 13: Q.65 (page 1040)
Use the lamina from Exercise 64, but assume that the density is proportional to the distance from the x-axis.
Short Answer
The Center of mass of the lamina is at
Chapter 13: Q.65 (page 1040)
Use the lamina from Exercise 64, but assume that the density is proportional to the distance from the x-axis.
The Center of mass of the lamina is at
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Get started for freeIn Exercises 61โ64, let R be the rectangular solid defined by
Assume that the density of R is uniform throughout.
(a) Without using calculus, explain why the center of
mass is
(b) Verify that
Evaluate the iterated integral :
Evaluate the sums in Exercises
Explain how to construct a midpoint Riemann sum for a function of two variables over a rectangular region for which each
Refer to your answer to Exercise 10 or to Definition 13.3.
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