Find the Eccentricity and Distance from the Pole to the Directrix

question 11

Multiple Choice

Find the eccentricity and distance from the pole to the directrix of the conic. Then sketch and identify the graph. Use a graphing utility to confirm your results. $r = \frac { 2 } { 3 + \cos \theta }$

• A) eccentricity: \(\frac { 1 } { 3 }\) distance from pole to directrix: 2 The graph is an ellipse.
• B) eccentricity: 3 distance from pole to directrix: \(\frac { 1 } { 2 } \quad\) The graph is an ellipse.
• C) eccentricity: \(\frac { 1 } { 3 }\) distance from pole to directrix: \(\frac { 1 } { 2 }\) The graph is an ellipse.
• D) eccentricity: 3 distance from pole to directrix: 2 The graph is a hyperbola.
• E) eccentricity: 3 distance from pole to directrix: \(\frac { 1 } { 2 }\) The graph is a hyperbola.

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Cost of Goods Sold

The immediate expenses incurred in the production of a company's sold goods, encompassing materials, labor, and overhead costs.

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Cash Payments

Outflow of cash as a result of transactions, such as paying expenses, purchasing assets, or repaying debt.

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The amount of cash generated by a company’s operations after accounting for capital expenditures, available for dividends, debt repayment, or reinvestment.