Evaluate the Integral $$\int _ { 0 } ^ { \infty } \int _ { 0 } ^ { \infty } \int _ { 0 } ^ { \infty } \mathrm { e } ^ { - ( 6 x + 4 y + 3 z ) } \mathrm { dz } d x d y$$

question 108

Multiple Choice

Evaluate the integral.
- $$\int _ { 0 } ^ { \infty } \int _ { 0 } ^ { \infty } \int _ { 0 } ^ { \infty } \mathrm { e } ^ { - ( 6 x + 4 y + 3 z ) } \mathrm { dz } d x d y$$

• A) \(\frac { 1 } { 24 }\)
• B) \(\frac { 1 } { 9 }\)
• C) \(\frac { 1 } { 144 }\)
• D) \(\frac { 1 } { 72 }\)

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