Find the Equation for the Conic in Standard Form $x=2+2 \cos t, y=-2+2 \sin t, 0 \leq t \leq 2 \pi$

question 37

Essay

Find the equation for the conic in standard form. Identify the conic. $x=2+2 \cos t, y=-2+2 \sin t, 0 \leq t \leq 2 \pi$

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Definitions:

Intrinsic Enjoyment

The pleasure and satisfaction derived from engaging in an activity for its own sake, without any external rewards or pressures.

Extrinsic Reward

A reward that comes from an external source rather than from the intrinsic pleasure of the activity itself.

Overjustification Effect

A psychological effect whereby externally provided rewards can reduce a person's intrinsic motivation to perform a task, because the person comes to attribute their actions to the external rewards rather than their own interest in the task.

External Incentive

A reward or punishment provided by an external source to motivate behavior.