Find the Center of Mass of a Thin Plate Covering $y = - x + 8$

question 149

Multiple Choice

Find the center of mass of a thin plate covering the given region with the given density function.
-The triangular region cut from the first quadrant by the line $y = - x + 8$ , with density $\delta ( x ) = x$

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

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