Solve the Problem $y = e ^ { - 4 x }$

question 52

Multiple Choice

Solve the problem.
-Find the center of mass of a thin infinite region in the first quadrant bounded by the coordinate axes and the curve $y = e ^ { - 4 x }$ if $\delta ( x , y ) = x y$ .

• A) \(\bar { x } = \frac { 1 } { 6 } , \bar { y } = \frac { 2 } { 9 }\)
• B) \(\bar { x } = \frac { 1 } { 4 } , \bar { y } = \frac { 8 } { 27 }\)
• C) \(\bar { x } = \frac { 1 } { 4 } , \bar { y } = \frac { 2 } { 9 }\)
• D) \(\bar { x } = \frac { 1 } { 6 } , \bar { y } = \frac { 8 } { 27 }\)

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