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:

Incremental Moves

Small, gradual changes or advancements towards a goal, rather than large, dramatic leaps.

Organizational Flexibility

The ability of an organization to adapt to changes, restructure operations, and innovate to meet new challenges.

Complexity

Refers to the state of having multiple interconnected parts, which may make a system or process difficult to understand, predict, or manage.

Environmental Opportunities

Circumstances or factors in the external environment that a business or individual can exploit for benefit.