Find the Centroid Of $D = \left\{ ( x , y ) \mid \frac { x ^ { 2 } } { a ^ { 2 } } + \frac { y ^ { 2 } } { b ^ { 2 } } \leq 1 , y \geq 0 \right\}$

question 77

Short Answer

Find the centroid of $D = \left\{ ( x , y ) \mid \frac { x ^ { 2 } } { a ^ { 2 } } + \frac { y ^ { 2 } } { b ^ { 2 } } \leq 1 , y \geq 0 \right\}$ , the region enclosed by the upper half of the ellipse $\frac { x ^ { 2 } } { a ^ { 2 } } + \frac { y ^ { 2 } } { b ^ { 2 } } = 1$ .

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