Parametric Equations and And a Parameter Interval for the Motion $x=2 \sin t, y=5 \cos t, 0 \leq t \leq 2 \pi$

question 356

Multiple Choice

Parametric equations and and a parameter interval for the motion of a particle in the xy-plane are given. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph
traced by the particle and the direction of motion.
- $x=2 \sin t, y=5 \cos t, 0 \leq t \leq 2 \pi$

• A) \(\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 25 } = 1\); Counterclockwise from\(( 2,0 )\) to \(( 2,0 )\) one rotation
• B) \(\frac { x ^ { 2 } } { 25 } + \frac { y ^ { 2 } } { 4 } = 1\); Counterclockwise from , \(( 5,0 )\) to \(( 5,0 )\), one rotation
• C) \(\frac { x ^ { 2 } } { 25 } + \frac { y ^ { 2 } } { 4 } = 1\); Counterclockwise from \(( 0,2 )\) to \(( 0,2 )\), one rotation
• D) \(\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 25 } = 1\); Counterclockwise from \(( 0,5 )\) to \(( 0,5 )\), one rotation

---

Definitions:

Negotiates

The act of discussing something formally to reach an agreement or compromise on terms.

UCC

The Uniform Commercial Code represents an extensive collection of legislation that oversees business dealings in the United States.

Negotiable Interest

An interest in a financial asset, like a note or draft, that can be transferred from one party to another in a manner that the transferee gains legal ownership and the right to enforce the instrument.

Primarily Liable

Having the main or first responsibility for fulfilling an obligation or debt.