Replace the Cartesian Equation with an Equivalent Polar Equation $$( x - 18 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 324$$

question 312

Multiple Choice

Replace the Cartesian equation with an equivalent polar equation.
- $$( x - 18 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 324$$

• A) \(r = 36 \cos \theta - 6 \sin \theta - 9\)
• B) \(r ^ { 2 } = - 18 r \cos \theta + 3 r \sin \theta + 324\)
• C) \(r ^ { 2 } = 36 r \cos \theta - 6 r \sin \theta - 9\)
• D) \(\mathrm { r } ^ { 2 } = 36 \mathrm { r } \sin \theta - 6 \mathrm { r } \cos \theta - 9\)

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Definitions:

Gross Margin

The difference between revenue and cost of goods sold, which serves as a measure of a company’s manufacturing and distribution efficiency.

Return On Total Assets

A financial ratio that measures the profitability of a company relative to its total assets, indicating how efficiently a company uses its assets to generate profits.

Return On Equity

A metric that gauges the effectiveness of a firm in utilizing investments to drive earnings growth, determined by dividing net income by shareholders' equity.

Earnings Per Share

A financial metric calculated by dividing the company's net income by the number of its outstanding shares, indicating the profitability of a company on a per-share basis.