Find the Center of Mass of a Thin Plate of Constant

question 152

Multiple Choice

Find the center of mass of a thin plate of constant density covering the given region.
-The region bounded by the parabola $x = y ^ { 2 }$ and the line $x = 9$

• A) \(\bar { x } = 0 , \bar { y } = \frac { 27 } { 5 }\)
• B) \(\bar { x } = \frac { 27 } { 5 } , \bar { y } = 0\)
• C) \(\bar { x } = 36 , \bar { y } = 0\)
• D) \(\bar { x } = 9 , \bar { y } = 0\)

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Definitions:

Marginal Cost Curve

The Marginal Cost Curve is a graphical representation showing the change in total cost that arises from producing one additional unit of a good or service.

Variable Input

An input in the production process that can be changed in the short run, such as labor and raw materials.

Marginal Revenue Product

The additional revenue generated from employing one more unit of a factor of production, assuming all other factors remain constant.

Marginal Product

The additional output that is generated by adding one more unit of a specific input, holding all other inputs constant.