Find the Centroid of the Region Bounded by the Given $$y = 2 x ^ { 3 } , 2 x + y = 4 , x = 0$$

Multiple Choice

Find the centroid of the region bounded by the given curves.
$$y = 2 x ^ { 3 } , 2 x + y = 4 , x = 0$$

A) $\frac { 92 } { 105 } , \frac { 9 } { 75 }$
B) $\frac { 58 } { 75 } , \frac { 370 } { 105 }$
C) $\frac { 28 } { 75 } , \frac { 184 } { 105 }$
D) $\frac { 370 } { 75 } , \frac { 58 } { 105 }$
E) None of these