Eliminate the Parameter and Write the Corresponding Rectangular Equation Whose $x = 1 + 3 \cos \theta$

question 12

Multiple Choice

Eliminate the parameter and write the corresponding rectangular equation whose graph represents the curve.​ $x = 1 + 3 \cos \theta$ $$y = 1 + 5 \sin \theta$$ ​

• A) \(\frac { ( x - 1 ) ^ { 2 } } { 9 } + \frac { ( y - 1 ) ^ { 2 } } { 25 } = 1\)
• B) \[\frac { ( x - 1 ) ^ { 2 } } { 9 } - \frac { ( y - 1 ) ^ { 2 } } { 25 } = 1\]
• C) \(\frac { x ^ { 2 } } { 9 } - \frac { y ^ { 2 } } { 25 } = 1\)
• D)​ \(\frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 25 } = 1\)
• E) \(\frac { ( x - 1 ) ^ { 2 } } { 25 } - \frac { ( y - 1 ) ^ { 2 } } { 9 } = 1\)

Grasp the significance of demand and supply adjustments in response to externalities.

Evaluate the role of government interventions, such as emissions fees and standards, in correcting market failures due to externalities.

Understand the different methods of pollution abatement and their economic implications.

Calculate efficient level of output considering external costs.

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Definitions:

Twelfth Amendment

modified the procedure for electing the President and Vice President of the United States, mandating separate electoral votes for each office to avoid electoral ties or confusion.

Electors

Individuals chosen in each U.S. state and the District of Columbia who formally elect the president and vice president of the United States.

President and Vice President

The top two executive officers in the government of the United States, elected to lead the country and support its constitution.

Louisiana Population

The residents or demographic makeup of Louisiana, a state in the United States noted for its diverse cultural heritage, including French, African, Spanish, and Native American influences.