To determine Provide the six different triple iterated integrals for the volume of the region and calculate the volume of the region using any one of integral. Explanation Given information: The plane Equation is 6 x + 3 y + 2 z = 6 . Calculation: Show the tetrahedron cut from the first octant by the plane 6 x + 3 y + 2 z = 6 as in Figure (1). Write the six possible integrals as follows: Provide the integral in the order d z d y d x as follows. ∫ 0 1 ∫ 0 2 − 2 x ∫ 0 3 − 3 x − 3 y 2 d z d x d y Provide the integral in the order d z d x d y as follows. ∫ 0 2 ∫ 0 1 − y 2 ∫ 0 3 − 3 x − 3 y 2 d z d x d y Provide the integral in the order d y d x d z as follows. ∫ 0 1 ∫ 0 3 − 3 x ∫ 0 2 − 2 x − 2 z 3 d y d z d x Provide the integral in the order d y d x d z as follows. ∫ 0 3 ∫ 0 1 − z 3 ∫ 0 2 − 2 x − 2 z 3 d y d x d z Provide the integral in the order d x d z d y as follows. ∫ 0 2 ∫ 0 2 − 3 y 2 ∫ 0 1 − y 2 − z 3 d x d z d y Provide the integral in the order d x d y d z as follows

University Calculus: Early Transcendentals (3rd Edition)

3rd Edition

ISBN: 9780321999580

Author: Joel R. Hass, Maurice D. Weir, George B. Thomas Jr.

Publisher: PEARSON

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Chapter 14.5, Problem 3E

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Provide the six different triple iterated integrals for the volume of the region and calculate the volume of the region using any one of integral.

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Chapter 14.5, Problem 2E

Chapter 14.5, Problem 4E

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Chapter 14 Solutions

University Calculus: Early Transcendentals (3rd Edition)

Ch. 14.1 - In Exercises 1-14. evaluate the iterated...Ch. 14.1 - Prob. 2E Ch. 14.1 - Prob. 3E Ch. 14.1 - In Exercises 1-14, evaluate the iterated...Ch. 14.1 - In Exercises 1-14, evaluate the iterated...Ch. 14.1 - In Exercises 1-14, evaluate the iterated...Ch. 14.1 - In Exercises 1-14, evaluate the iterated integral....Ch. 14.1 - In Exercises 1-14, evaluate the iterated...Ch. 14.1 - In Exercises 1-14, evaluate the iterated integral....Ch. 14.1 - Prob. 10E

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