Find the Slope of the Tangent to the Curve $x = 1 - 2 \sin t , y = 3 \cos t$

question 158

Multiple Choice

Find the slope of the tangent to the curve $x = 1 - 2 \sin t , y = 3 \cos t$ when $t = \frac { \pi } { 3 }$

• A) \(\frac { \sqrt { 3 } } { 2 }\)
• B) \(\frac { 2 \sqrt { 3 } } { 2 }\)
• C) \(\frac { 3 \sqrt { 3 } } { 2 }\)
• D) \(\frac { \sqrt { 3 } } { 3 }\)
• E) \(- \frac { \sqrt { 3 } } { 2 }\)
• F) \(- \frac { 2 \sqrt { 3 } } { 2 }\)
• G) \(- \frac { 3 \sqrt { 3 } } { 2 }\)
• H) \(- \frac { \sqrt { 3 } } { 3 }\)

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Definitions:

Marginal Value

The additional benefit received by consuming or using one more unit of a good or service.

Markdown

A reduction from the original selling price of goods or services to increase their attractiveness to buyers.

Monopsony Power

The market power held by a single buyer, allowing them to dictate prices to sellers due to a lack of competition.

Monopoly Power

The ability of a monopolist to significantly control market price and exclude competitors by owning a majority of the market share.