Write six different iterated triple integrals for the volume of the tetrahedron cut from the first octant by the plane 8x + 2y + 4z = 8. Evaluate the first integral. Write an integral that represents the volume in the order dx dy dz. 8-2y-4z 2 (4-2z) 8 1 dx dy dz Evaluate the integral from the previous step.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 8AEXP
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Write six different iterated triple integrals for the volume of the tetrahedron cut from the first octant by the plane 8x + 2y + 4z = 8. Evaluate the first integral.
Write an integral that represents the volume in the order dx dy dz.
8-2y-4z
2 (4-2z)
8
1 dx dy dz
Evaluate the integral from the previous step.
Transcribed Image Text:Write six different iterated triple integrals for the volume of the tetrahedron cut from the first octant by the plane 8x + 2y + 4z = 8. Evaluate the first integral. Write an integral that represents the volume in the order dx dy dz. 8-2y-4z 2 (4-2z) 8 1 dx dy dz Evaluate the integral from the previous step.
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