Find the Rectangular-Coordinate Equation for the Parametric Equations Given $$x = 2 \cos ^ { 2 } t , y = 2 \sin ^ { 2 } t$$

question 14

Multiple Choice

Find the rectangular-coordinate equation for the parametric equations given. $$x = 2 \cos ^ { 2 } t , y = 2 \sin ^ { 2 } t$$

• A) \(x + y = 2,0 \leq x \leq 2\)
• B) \(x ^ { 2 } + y ^ { 2 } = 4 , \quad 0 \leq x \leq 4\)
• C) \(2 x ^ { 2 } + 2 y ^ { 2 } = 1 , \quad 0 \leq x \leq 2\)
• D) \(x ^ { 2 } + y ^ { 2 } = 2 , \quad 0 \leq x \leq 2\)
• E) \(x ^ { 2 } - y ^ { 2 } = 4\)

---

Definitions:

Group Processes

The dynamics and mechanisms through which groups form, operate, and disband, including communication, decision-making, and leadership.

Interpersonal Processes

The mechanisms through which interactions between individuals influence their thoughts, feelings, and behaviors.

Behavioural Science

Behavioural science is a field of study that explores the activities and interactions among humans, diving into areas like psychology, cognitive science, and anthropology to understand behavior.

Organizational Development

A field of research, theory, and practice dedicated to expanding the knowledge and effectiveness of people to accomplish more successful organizational change and performance.