Solve the Problem $\delta ( x , y , z ) = x y z$

question 374

Multiple Choice

Solve the problem.
-Find the center of mass of the rectangular solid of density $\delta ( x , y , z ) = x y z$ defined by $0 \leq x \leq 10,0 \leq y \leq 6,0 \leq z \leq 8$ .

• A) \(\bar { x } = \frac { 20 } { 3 } , \bar { y } = 4 , \bar { z } = \frac { 16 } { 3 }\)
• B) \(\bar { x } = \frac { 5 } { 2 } , \bar { y } = \frac { 3 } { 2 } , \bar { z } = 2\)
• C) \(\bar { x } = 5 , \bar { y } = 3 , \bar { z } = 4\)
• D) \(\bar { x } = \frac { 10 } { 3 } , \bar { y } = 2 , \bar { z } = \frac { 8 } { 3 }\)

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Definitions:

Return on Total Assets

Return on Total Assets is a financial ratio that measures the profitability of a company in relation to its total assets, indicating how effectively a company is using its assets to generate earnings.

Profitability

The ability of a company to generate earnings above its costs and expenses over time.

Margin of Safety

The difference between actual or projected sales and the break-even point; measures the risk of not covering fixed costs.

Liabilities to Stockholders' Equity

A ratio that measures the amount of liabilities a company has compared to its shareholders' equity.