Eliminate the Parameter
- $x = 3 \tan t , y = 4 \sec t ; 0 \leq t \leq 2 \pi$

question 59

Multiple Choice

Eliminate the Parameter
- $x = 3 \tan t , y = 4 \sec t ; 0 \leq t \leq 2 \pi$

• A) \(\frac { y ^ { 2 } } { 16 } - \frac { x ^ { 2 } } { 9 } = 1 ; - \infty < x < \infty\)
• B) \(\frac { y ^ { 2 } } { 16 } + \frac { x ^ { 2 } } { 9 } = 1 ; - \infty < x < \infty\)
• C) \(y = 4 \sqrt { 1 + \frac { x ^ { 2 } } { 9 } } ; - \infty < x < \infty\)
• D) \(y = x ^ { 2 } - 9 ; - 3 \leq x \leq 3\)

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Definitions:

Short Run

A period of time during which at least one of a firm's inputs is fixed and cannot be changed.

Normal Return

The minimum profit necessary to keep a company in business, equating to the opportunity cost of capital.

Own Capital

The funds or assets personally invested by the owners into a business, distinct from borrowed capital.

Economic Profit

The separation between full-scale income and aggregated expenses, acknowledging both straightforward and underlying costs.