Evaluate $\int _ { C } x y ^ { 4 } d S$

question 25

Multiple Choice

Evaluate $\int _ { C } x y ^ { 4 } d S$ , where $C$ is the right half of the circle $x ^ { 2 } + y ^ { 2 } = 9$ .

• A) \(293.6\)
• B) \(292.6\)
• C) \(291.6\)
• D) \(295.6\)
• E) \(294.6\)

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Definitions:

DuPont Formula

A method that breaks down the return on equity into three component parts—profit margin, asset turnover, and financial leverage—to analyze a company's financial performance.

Return on Investment

A financial metric used to evaluate the efficiency or profitability of an investment, calculated by dividing the profit from an investment by its cost.

Investment Centers

Divisions or departments within a company responsible for generating revenue and controlling costs.

Profit Centers

Parts of an organization that directly contribute to its profit through their operations and the successful management of their revenues and costs.