Find the Center of Mass of the Lamina That Occupies $y = 1 - x ^ { 2 }$

question 52

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

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Definitions:

F-ratio

a statistical measure used in the analysis of variance (ANOVA) to compare the variance between groups to the variance within groups.

P-value

The probability of obtaining test results at least as extreme as the results actually observed, under the assumption that the null hypothesis is correct.

Annual Income

Annual income is the total sum of money earned by an individual or entity over the course of a year from all sources including wages, dividends, and bonuses.

Level of Education

The highest degree or level of schooling an individual has completed, often categorized by primary, secondary, tertiary, and further education.