Find the Centroid of the Thin Plate Bounded by the Graphs

question 193

Multiple Choice

Find the centroid of the thin plate bounded by the graphs of the given functions. Use $\delta = 1$ and $M =$ area of the region covered by the plate.
- $g ( x ) = x ^ { 2 }$ and $f ( x ) = x + 12$

• A) \(\bar { x } = \frac { 3 } { 4 } , \bar { y } = \frac { 38 } { 5 }\)
• B) \(\bar { x } = \frac { 1 } { 2 } , \bar { y } = 4\)
• C) \(\bar { x } = 12 , \bar { y } = \frac { 38 } { 5 }\)
• D) \(\bar { x } = \frac { 1 } { 2 } , \bar { y } = \frac { 38 } { 5 }\)

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