Find a Rectangular Equation for the Plane Curve Defined by the Parametric

question 76

Multiple Choice

Find a rectangular equation for the plane curve defined by the parametric equations.
- $$x = 5 \cos t , y = - 2 \sin t ; 0 \leq t \leq 2 \pi$$

• A) \(4 x ^ { 2 } + 25 y ^ { 2 } = 100 ; - 5 \leq x \leq 5\)
• B) \(4 x ^ { 2 } - 25 y ^ { 2 } = 100 ; x \geq 5\)
• C) \(4 x ^ { 2 } + 25 y ^ { 2 } = 1 ; - \frac { 1 } { 5 } \leq x \leq \frac { 1 } { 5 }\)
• D) \(4 x ^ { 2 } - 25 y ^ { 2 } = 1 ; x \geq \frac { 1 } { 2 }\)

---

Definitions:

Second Messenger System

A method of cellular signaling where the signal from a first messenger is transferred to a secondary molecule inside the cell to elicit a physiological change.

Protein Kinase

An enzyme that modifies other proteins by chemically adding phosphate groups to them, thereby altering their function.

G Protein

A group of proteins functioning as cellular molecular switches, responsible for conveying signals from external stimuli to the inside of the cell.

Cyclic AMP

A second messenger important in many biological processes, derived from adenosine triphosphate (ATP) and used for intracellular signal transduction.