Solve the Problem $\mathrm { dz } \mathrm { dy } \mathrm {} \mathrm { dx }$

question 322

Multiple Choice

Solve the problem.
-Write an iterated triple integral in the order $\mathrm { dz } \mathrm { dy } \mathrm {} \mathrm { dx }$ for the volume of the tetrahedron cut from the first octant by the plane $\frac { x } { 10 } + \frac { y } { 3 } + \frac { z } { 5 } = 1$ .

• A) \(\int _ { 0 } ^ { 10 } \int _ { 0 } ^ { 1 - y / 3 } \int _ { 0 } ^ { 1 - x / 10 - y / 3 } d z d y d x\)
• B) \(\int _ { 0 } ^ { 10 } \int _ { 0 } ^ { 1 - x / 10 } \int _ { 0 } ^ { 1 - x / 10 - y / 3 } d z d y d x\)
• C)\(\int_{0}^{10} \int_{0}^{3(1-x / 10)} \int_{0}^{5(1-x / 10-y / 3)} d z d y d x\)
• D)\(\int_{0}^{10} \int_{0}^{10(1-y / 3)} \int_{0}^{5(1-x / 10-y / 3)} d z d y d x\)