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

question 149

Multiple Choice

Find a rectangular equation for the plane curve defined by the parametric equations.
- $$x = 7 \sin t , y = 7 \cos t ; 0 \leq t \leq 2 \pi$$

• A) \(x ^ { 2 } + y ^ { 2 } = 49\); for \(x\) in \(- 7 \leq x \leq 7\)
• B) \(y = x ^ { 2 } - 9\); for \(x\) in \(- 2 \leq x \leq 2\)
• C) \(y = \sqrt { a ^ { 2 } - x ^ { 2 } } = 49\); for \(x\) in \(- \infty < x < \infty\)
• D) \(y ^ { 2 } - x ^ { 2 } = 49\); for \(x\) in \(- \infty < x < \infty\)

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Definitions:

Carboxyl Group

A functional group consisting of a carbon atom double-bonded to an oxygen atom and single-bonded to a hydroxyl group (-COOH).

Protein Molecules

Large, complex molecules that are fundamental to the structure and function of all living cells, playing crucial roles in virtually all biological processes.

Endoplasmic Reticulum

A network of membranes within the cytoplasm of cells involved in protein and lipid synthesis, detoxification, and calcium storage.

Golgi Bodies

Organelles found in most eukaryotic cells that modulate the transport and packaging of proteins and lipids within the cell.