) Evaluate the triple integral |||y'dV, where T is the tetrahedron with vertices (0,0,0), (0,0,2), (0,4,0), and (4,4,0). (HINT: the tetrahedron is bounded by 4 planes. Using any three points at a time, determine the plane passing through these three points. This will give you bounds on your variables. Use traces or a 3-D sketch to help you to visualize.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.1: Parabolas
Problem 25E
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) Evaluate the triple integral ||| y'dV, where T is the tetrahedron with vertices (0,0,0),
(0,0,2), (0,4,0), and (4,4,0).
(HINT: the tetrahedron is bounded by 4 planes. Using any three points at a time, determine the plane
passing through these three points. This will give you bounds on your variables. Use traces or a 3-D
sketch to help you to visualize.)
Transcribed Image Text:) Evaluate the triple integral ||| y'dV, where T is the tetrahedron with vertices (0,0,0), (0,0,2), (0,4,0), and (4,4,0). (HINT: the tetrahedron is bounded by 4 planes. Using any three points at a time, determine the plane passing through these three points. This will give you bounds on your variables. Use traces or a 3-D sketch to help you to visualize.)
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