Multivariable Calculus

8th Edition

ISBN: 9781305266643

Author: James Stewart

Publisher: Cengage Learning

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Textbook Question

Chapter 15.6, Problem 25E

Use the Midpoint Rule for triple integrals (Exercise 24) to estimate the value of the integral. Divide B into eight sub-boxes of equal size.

25. ∭ B cos ( x y z ) d V , where B = { ( x , y , z ) | 0 ≤ x ≤ 1 , 0 ≤ y ≤ 1 , 0 ≤ z ≤ 1 }

Expert Solution & Answer

Chapter 15 Solutions

Multivariable Calculus

Ch. 15.1 - (a) Estimate the volume of the solid that lies...Ch. 15.1 - If R = [0, 4] [1, 2], use a Riemann sum with m =...Ch. 15.1 - (a) Use a Riemann sum with m = n = 2 to estimate...Ch. 15.1 - (a) Estimate the volume of the solid that lies...Ch. 15.1 - Let V be the volume of the solid that lies under...Ch. 15.1 - A 20-ft-by-30-ft swimming pool is filled with...Ch. 15.1 - A contour map is shown for a function f on the...Ch. 15.1 - The contour map shows the temperature, in degrees...Ch. 15.1 - Evaluate the double integral by first identifying...Ch. 15.1 - Evaluate the double integral by first identifying...

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Use the Midpoint Rule for triple integrals (Exercise 24) to estimate the value of the integral. Divide B into eight sub-boxes of equal size. 25 . ∭ B cos ( x y z ) d V , where B = { ( x , y , z ) | 0 ≤ x ≤ 1 , 0 ≤ y ≤ 1 , 0 ≤ z ≤ 1 }

Solution Summary: The author calculates the value of the integral by using the Midpoint Rule for triple integral and divide the region B into 8 sub-boxes of equal size.

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Chapter 15 Solutions