Find the Center of Mass of a Thin Plate Covering $x = y ^ { 2 }$

question 194

Multiple Choice

Find the center of mass of a thin plate covering the given region with the given density function.
-The region bounded by $x = y ^ { 2 }$ and the line $x = 1$ , with density $\delta ( x ) = y ^ { 2 }$

• A) \(\bar { x } = \frac { 5 } { 7 } , \bar { y } = 0\)
• B) \(\bar { x } = 0 , \bar { y } = \frac { 3 } { 5 }\)
• C) \(\bar { x } = \frac { 3 } { 5 } , \bar { y } = 0\)
• D) \(\bar { x } = \frac { 3 } { 7 } , \bar { y } = 0\)

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Definitions:

Kosher Foods

Foods that comply with a strict set of dietary rules in Judaism.

Elastic

A term describing a situation where the demand or supply of a good or service changes significantly when its price changes.

Higher Taxes

Increased rates or amounts of taxes imposed by governments on individuals, corporations, or transactions.

Inelastic

Inelastic refers to a situation in which the quantity demanded or supplied of a good or service is relatively unresponsive to price changes.