Solve the problem.
-Find the centroid of the infinite region in the first quadrant bounded by the coordinate axes and the curve $y = e ^ { - 4 x }$.
A) $\bar { x } = \frac { 1 } { 8 } , \bar { y } = \frac { 1 } { 4 }$
B) $\bar { x } = \frac { 1 } { 8 } , \bar { y } = \frac { 1 } { 2 }$
C) $\bar { x } = \frac { 1 } { 4 } , \bar { y } = \frac { 1 } { 4 }$
D) $\bar { x } = \frac { 1 } { 4 } , \bar { y } = \frac { 1 } { 2 }$

Question

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The Answer of Solve the problem.
-Find the centroid of the infinite region in the first quadrant bounded by the coordinate axes and the curve $y = e ^ { - 4 x }$.
A) $\bar { x } = \frac { 1 } { 8 } , \bar { y } = \frac { 1 } { 4 }$
B) $\bar { x } = \frac { 1 } { 8 } , \bar { y } = \frac { 1 } { 2 }$
C) $\bar { x } = \frac { 1 } { 4 } , \bar { y } = \frac { 1 } { 4 }$
D) $\bar { x } = \frac { 1 } { 4 } , \bar { y } = \frac { 1 } { 2 }$

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

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