Find the Center of Mass of a Thin Plate Covering $y = \pm \frac { 5 } { \sqrt { x } }$

question 96

Multiple Choice

Find the center of mass of a thin plate covering the given region with the given density function.
-The region bounded by the curves $y = \pm \frac { 5 } { \sqrt { x } }$ and the lines $x = 1$ and $x = 9$ , with density $\delta ( x ) = \frac { 5 } { x }$

• A) \(\bar { x } = 3 , \bar { y } = 0\)
• B) \(\bar { x } = 2 , \bar { y } = 0\)
• C) \(\bar { x } = 5 , \bar { y } = 0\)
• D) \(\bar { x } = 4 , \bar { y } = 0\)