Solve the Problem $\int _ { 0 } ^ { 10 } \int _ { 0 } ^ { 8 - x } \int _ { 0 } ^ { 7 - y - x } d z d y d x$

question 205

Multiple Choice

Solve the problem.
-Write an iterated triple integral in the order dz dy dx for the volume of the rectangular solid in the first octant bounded by the planes x = 7, y = 8, and z = 10.

• A) \(\int _ { 0 } ^ { 10 } \int _ { 0 } ^ { 8 - x } \int _ { 0 } ^ { 7 - y - x } d z d y d x\)
• B) \(\int _ { 0 } ^ { 7 } \int _ { 0 } ^ { 8 - x } \int _ { 0 } ^ { 10 - y - x } d z d y d x\)
• C) \(\int _ { 0 } ^ { 7 } \int _ { 0 } ^ { 8 } \int _ { 0 } ^ { 10 } d z d y d x\)
• D) \(\int _ { 0 } ^ { 10 } \int _ { 0 } ^ { 8 } \int _ { 0 } ^ { 7 } d z d y d x\)

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