Transform the Polar Equation to an Equation in Rectangular Coordinates $r=6 \cos \theta$

question 96

Multiple Choice

Transform the polar equation to an equation in rectangular coordinates. Then identify and graph the equation.
- $r=6 \cos \theta$

• A) \(( x - 3 ) ^ { 2 } + y ^ { 2 } = 9 ;\) circle, radius 3 , center at \(( 3,0 )\) in rectangular coordinates
• B) \(x ^ { 2 } + ( y + 3 ) ^ { 2 } = 9 ;\) circle, radius 3, center at \(( 0 , - 3 )\) in rectangular coordinates
• C) \(( x + 3 ) ^ { 2 } + y ^ { 2 } = 9\); circle, radius 3 center at \(( - 3,0 )\) in rectangular coordinates
• D) \[x ^ { 2 } + ( y - 3 ) ^ { 2 } = 9 \text {; circle, radius } 3 \text {, }\] center at \(( 0,3 )\) in rectangular coordinates \(( x + 3 ) ^ { 2 } + y ^ { 2 } = 9\); circle, radius 3\(\quad \)\(\quad \)\(\quad \)\(\quad \)\(\quad \)\(x ^ { 2 } + ( y - 3 ) ^ { 2 } = 9 \text {; circle, radius } 3 \text {, }\) center at \(( - 3,0 )\) in rectangular coordinates\(\quad \)\(\quad \)\(\quad \)center at \(( 0,3 )\) in rectangular coordinates

Identify the conditions necessary for price discrimination to occur and its effects on producer and consumer surplus.

Analyze the relationship between market structures, price setting, and the ability of firms to engage in price discrimination.

Understand the economic outcomes of regulating monopolies, including the impact on prices, output, and economic efficiency.

Examine the reasons why monopolies engage in price discrimination and the impact of such practices on profits and welfare.

---

Definitions:

Portfolio Expected Return

Portfolio expected return is the weighted average of the expected returns of the assets contained within an investment portfolio.

Expected Returns

The predicted amount of profit or loss an investment is projected to generate, often based on historical data or statistical models.

Standard Deviation

A statistical measure of the dispersion or variability in a set of data points, often used to gauge the risk associated with a financial asset.

Good Economy

A state of economic health in which a nation experiences growth, low unemployment, and increasing wealth among its population.