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}.
Assuming that the density at each point in R is proportional to the distance of the point from the xy-plane, find the moment of inertia about the x-axis and the radius of gyration about the x-axis.
Evaluate each of the integrals in exercise 33-36 as iterated integrals and then compare your answers with those you found in exercise 29-32
Let be a continuous function of three variables, let be a set of points in the -plane, and let be a set of points in 3-space. Find an iterated triple integral equal to the the triple integral. How would your answer change if?
Evaluate the sums in Exercises .
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