Chapter 13: Q.25 (page 1082)
Evaluating triple integrals: Each of the triple integrals that follow represents the volume of a solid. Sketch the solid and evaluate the integral.
Short Answer
The value of the triple integral is 30.
Chapter 13: Q.25 (page 1082)
Evaluating triple integrals: Each of the triple integrals that follow represents the volume of a solid. Sketch the solid and evaluate the integral.
The value of the triple integral is 30.
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Get started for freeExplain 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 .
Let f(x, y, z) and g(x, y, z) be integrable functions on the rectangular solid . . Use the definition of the triple integral to prove that :
Evaluate each of the double integral in the exercise 37-54 as iterated integrals
Explain how to construct a midpoint Riemann sum for a function of two variables over a rectangular region for which each is the midpoint of the subrectangle
Refer to your answer to Exercise 10 or to Definition 13.3.
Evaluate each of the double integrals in Exercises 37–54 as iterated integrals.
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