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

question 37

Multiple Choice

Find a rectangular equation for the plane curve defined by the parametric equations.
- $x = 3 \tan t , y = 2 \sec t ; 0 \leq t \leq 2 \pi$

• A) \(y = x ^ { 2 } - 9\); for \(x\) in \(- 3 \leq x \leq 3\)
• B) \(y = 3 \sqrt { 1 + \frac { x ^ { 2 } } { 25 } }\); for \(x\) in \(- \infty < x < \infty\)
• C) \(\frac { y ^ { 2 } } { 9 } - \frac { x ^ { 2 } } { 25 } = 1\); for \(x\) in \(- \infty < x < \infty\)
• D) \(\frac { y ^ { 2 } } { 9 } + \frac { x ^ { 2 } } { 25 } = 1\); for \(x\) in \(- \infty < x < \infty\)

---

Definitions:

Insulin

A substance secreted by the pancreas that controls blood sugar levels by assisting the absorption of glucose by cells.

ADH

Antidiuretic Hormone, also known as vasopressin, a hormone produced by the pituitary gland that regulates the body's retention of water by increasing the concentration of the urine.

Testosterone

A steroid hormone produced mainly in the testes, responsible for the development of male secondary sexual characteristics.

Spermatogenesis

The process by which sperm cells are produced and developed, typically in the seminiferous tubules of the testes.