Solve the Problem $\delta ( x , y , z ) = x + y + z$

question 316

Multiple Choice

Solve the problem.
-Find the mass of a tetrahedron of density $\delta ( x , y , z ) = x + y + z$ bounded by the coordinate planes and the plane $\frac { x } { 8 } + \frac { y } { 5 } + \frac { z } { 4 } = 1$

• A) \(\frac { 1360 } { 9 }\)
• B) 136
• C) \(\frac { 544 } { 3 }\)
• D) \(\frac { 340 } { 3 }\)

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