Evaluate the Integral $$\int _ { 0 } ^ { 3 } \int _ { 0 } ^ { 9 ( 1 - z / 3 ) } \int _ { 0 } ^ { 7 ( 1 - y / 9 - z / 3 ) } d x d y d z$$

question 38

Multiple Choice

Evaluate the integral.
- $$\int _ { 0 } ^ { 3 } \int _ { 0 } ^ { 9 ( 1 - z / 3 ) } \int _ { 0 } ^ { 7 ( 1 - y / 9 - z / 3 ) } d x d y d z$$

• A) 63
• B) \(\frac { 189 } { 4 }\)
• C) \(\frac { 63 } { 2 }\)
• D) \(\frac { 189 } { 8 }\)

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