Conic Sections in Polar Coordinates
1 Define Conics in Terms $$\mathrm { r } = \frac { 3 } { 1 - 3 \sin \theta }$$

question 108

Multiple Choice

Conic Sections in Polar Coordinates
1 Define Conics in Terms of a Focus and a Directrix
- $$\mathrm { r } = \frac { 3 } { 1 - 3 \sin \theta }$$

• A) hyperbola; The directrix is 1 unit(s) below the pole at \(y = - 1\).
• B) hyperbola; The directrix is 1 unit(s) above the pole at \(y = 1\).
• C) hyperbola; The directrix is 1 unit(s) to the left of the pole at \(x = - 1\).
• D) hyperbola; The directrix is 1 unit(s) to the right of the pole at \(x = 1\).

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Definitions:

Utility Maximizing

The economic principle where individuals or entities make choices to get the highest level of satisfaction from their resources.

Market Basket

A collection of goods and services used to track inflation, consumer spending, or the cost of living in an economy.

MRSxy

The Marginal Rate of Substitution between good x and good y, indicating the rate at which a consumer is willing to give up good y for an additional unit of good x, keeping utility constant.

Purchasing Power

The real value of money, defining how much goods or services a unit of currency can buy, often influenced by inflation.