Solve the Problem $\int _ { 0 } ^ { 10 } \int _ { 0 } ^ { 5 ( 1 - z / 10 ) } \int _ { 0 } ^ { 6 ( 1 - y / 5 - z / 10 ) } d x d y d z$

question 389

Multiple Choice

Solve the problem.
-Rewrite the integral
$\int _ { 0 } ^ { 10 } \int _ { 0 } ^ { 5 ( 1 - z / 10 ) } \int _ { 0 } ^ { 6 ( 1 - y / 5 - z / 10 ) } d x d y d z$
in the order $\mathrm { dz } \mathrm { dy } \mathrm { dx }$ .

• A) \(\int _ { 0 } ^ { 10 } \int _ { 0 } ^ { 5 ( 1 - x / 6 ) } \int _ { 0 } ^ { 6 ( 1 - x / 6 - y / 5 ) } d z d y d x\)
• B) \(\int _ { 0 } ^ { 6 } \int _ { 0 } ^ { 5 ( 1 - z / 10 ) } \int _ { 0 } ^ { 10 ( 1 - y / 5 - z / 10 ) } d z d y d x\)
• C) \(\int _ { 0 } ^ { 6 } \int _ { 0 } ^ { 5 ( 1 - x / 6 ) } \int _ { 0 } ^ { 10 ( 1 - x / 6 - y / 5 ) } d z d y d x\)
• D) \(\int _ { 0 } ^ { 10 } \int _ { 0 } ^ { 5 ( 1 - z / 10 ) } \int _ { 0 } ^ { 6 ( 1 - y / 5 - z / 10 ) } d z d y d x\)

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