Solve the Problem $\int _ { 0 } ^ { 9 } \int _ { 0 } ^ { 4 ( 1 - x / 9 ) } \int _ { 0 } ^ { 8 ( 1 - x / 9 - y / 4 ) } d z d y d x$

question 307

Multiple Choice

Solve the problem.
-Rewrite the integral
$\int _ { 0 } ^ { 9 } \int _ { 0 } ^ { 4 ( 1 - x / 9 ) } \int _ { 0 } ^ { 8 ( 1 - x / 9 - y / 4 ) } d z d y d x$
in the order $\mathrm { dx } \mathrm { dy } \mathrm { dz }$ .

• A) \(\int _ { 0 } ^ { 8 } \int _ { 0 } ^ { 4 ( 1 - z / 8 ) } \int _ { 0 } ^ { 9 ( 1 - y / 4 - z / 8 ) } d x d y d z\)
• B) \(\int _ { 0 } ^ { 9 } \int _ { 0 } ^ { 4 ( 1 - x / 9 ) } \int _ { 0 } ^ { 8 ( 1 - x / 9 - y / 4 ) } d x d y d z\)
• C) \(\int _ { 0 } ^ { 8 } \int _ { 0 } ^ { 9 ( 1 - z / 8 ) } \int _ { 0 } ^ { 4 ( 1 - y / 4 - z / 8 ) } d x d y d z\)
• D) \(\int _ { 0 } ^ { 9 } \int _ { 0 } ^ { 8 ( 1 - x / 9 ) } \int _ { 0 } ^ { 4 ( 1 - x / 9 - y / 4 ) } d x d y d z\)

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