Find the Center of Mass of a Thin Plate Covering $y = 64 - x ^ { 2 }$

question 44

Multiple Choice

Find the center of mass of a thin plate covering the given region with the given density function.
-The region bounded by the parabola $y = 64 - x ^ { 2 }$ and the $x$ -axis, with density $\delta ( x ) = 8 x ^ { 2 }$

• A) \(\bar { x } = \frac { 128 } { 5 } , \bar { y } = 0\)
• B) \(\bar { x } = 0 , \bar { y } = \frac { 128 } { 7 }\)
• C) \(\bar { x } = 0 , \bar { y } = \frac { 128 } { 5 }\)
• D) \(\bar { x } = 0 , \bar { y } = \frac { 256 } { 7 }\)

Understand the use and significance of sampling in market research studies.

Learn about social media's role and impact in market research.

Know the importance and components of a research design.

Differentiate between qualitative and quantitative data collection methods.

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Definitions:

Supply Elastic

A measure of how much the quantity supplied of a good or service changes in response to a change in price.

Luxury Tax

A tax placed on expensive, non-essential products or services, aimed at curbing the consumption of luxury goods.

Middle Class

A social class made up of people who fall economically between the working class and the upper class, often defined by income, education, and occupation.

Customer Structures

The organization or arrangement of a company's customer base, typically segmented by needs, demographics, or behaviors.