Find the Parametrization for the Curve $x ^ { 2 } + y ^ { 2 } = 6$

question 8

Multiple Choice

Find the parametrization for the curve.
-The portion of the circle $x ^ { 2 } + y ^ { 2 } = 6$ that lies in the second quadrant

• A) \(x = 6 \sin t , y = 6 \cos t\), for \(\pi < t < \frac { 3 \pi } { 2 }\)
• B) \(x = 6 \cos t , y = 6 \sin t\), for \(\frac { \pi } { 2 } < t < \pi\)
• C) \(x = 6 \cos t , y = 6 \sin t\), for \(\frac { 3 \pi } { 2 } < t < 2 \pi\)
• D) \(x = 6 \sin t , y = 6 \cos t\), for \(\frac { \pi } { 2 } < t < \pi\)

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Definitions:

Break-Even Point

The point at which total costs and total revenue are equal, meaning the business is neither making a profit nor a loss.

Sales Mix

The combination of different products or services that a company sells, influencing overall sales volume, revenues, and profits.

Break-Even Point

The level of production or sales at which total costs equal total revenue, resulting in zero profit or loss.

Operating Leverage

A measure of how revenue growth translates into growth in operating income, indicating the percentage of fixed versus variable costs a company has.