Chapter 13: Q 52 (page 1005)
Evaluate each of the double integrals in Exercises as iterated integrals.
where.
Short Answer
The value of double integral is :-
where,
Chapter 13: Q 52 (page 1005)
Evaluate each of the double integrals in Exercises as iterated integrals.
where.
The value of double integral is :-
where,
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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}.
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.
In Exercises 45–52, rewrite the indicated integral with the specified order of integration.
Exercise 42 with the order dy dx dz.
Evaluate the iterated integral :
Describe the three-dimensional region expressed in each iterated integral in Exercises 35–44.
Let be a continuous function of three variables, let localid="1650352548375" be a set of points in the -plane, and let localid="1650354983053" be a set of points in -space. Find an iterated triple integral equal to the triple integral localid="1650353288865" . How would your answer change iflocalid="1650352747263" ?
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