Find the Center of Mass of the Lamina That Occupies $D$

question 98

Multiple Choice

Find the center of mass of the lamina that occupies the region $D$ and has the given density function, if $D$ is bounded by the parabola $y = 1 - x ^ { 2 }$ and the $x$ -axis.
$$\rho ( x , y ) = 4 y$$

• A) \(( 8,4 )\)
• B) \(( 4,46.44 )\)
• C) \(( 0,0.57 )\)
• D) \(( 12,0.57 )\)
• E) None of these

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