Chapter 13: Q 25. (page 1066)
Give the rectangular and spherical coordinates for the point with cylindrical coordinates:
Short Answer
Rectangular coordinates areand spherical coordinates are
Chapter 13: Q 25. (page 1066)
Give the rectangular and spherical coordinates for the point with cylindrical coordinates:
Rectangular coordinates areand spherical coordinates are
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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.
Describe the three-dimensional region expressed in each iterated integral in Exercises 35–44.
State Fubini's theorem.
Use Definition to evaluate the double integrals in Exercises .
where
Describe the three-dimensional region expressed in each iterated integral in Exercises 35–44.
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