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Find SS₁² z dV, where E is the solid tetrahedron with vertices (0,0,0), (4,0,0), (0,3,0), and (0,0,2). Round your answer to four decimal places.

Find SS₁² z dV, where E is the solid tetrahedron with vertices (0,0,0), (4,0,0), (0,3,0), and (0,0,2). Round your answer to four decimal places.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Problem Statement:** Find the triple integral of \( z \, dV \) over the region \( E \), where \( E \) is the solid tetrahedron with vertices at \( (0,0,0) \), \( (4,0,0) \), \( (0,3,0) \), and \( (0,0,2) \). Round your answer to four decimal places. **Solution Box:** [                                                                                          ]
Transcribed Image Text:**Problem Statement:** Find the triple integral of \( z \, dV \) over the region \( E \), where \( E \) is the solid tetrahedron with vertices at \( (0,0,0) \), \( (4,0,0) \), \( (0,3,0) \), and \( (0,0,2) \). Round your answer to four decimal places. **Solution Box:** [                                                                                          ]
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