Chapter 13: Q 27. (page 1066)
Give the rectangular and cylindrical coordinates for the point with spherical coordinates
Short Answer
Rectangular coordinates are
Cylindrical coordinates arelocalid="1651612310902"
Chapter 13: Q 27. (page 1066)
Give the rectangular and cylindrical coordinates for the point with spherical coordinates
Rectangular coordinates are
Cylindrical coordinates arelocalid="1651612310902"
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Get started for freeDescribe the three-dimensional region expressed in each iterated integral in Exercises 35–44.
Explain how to construct a midpoint Riemann sum for a function of three variables over a rectangular solid for which each is the midpoint of the subsolid role="math" localid="1650346869585" . Refer either to your answer to Exercise or to Definition .
In Exercises 45–52, rewrite the indicated integral with the specified order of integration.
Exercise 41 with the order dy dx dz.
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 integral in the exercise 37-54 as iterated integrals
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