Find the Slope of the Tangent to the Curve $x = t ^ { 3 }$

question 54

Multiple Choice

Find the slope of the tangent to the curve $x = t ^ { 3 }$ , $y = t ^ { 4 }$ when $t = 3$

• A) \(\frac { 9 } { 4 }\)
• B) \(\frac { 3 } { 16 }\)
• C) \(\frac { 4 } { 9 }\)
• D) \(\frac { 4 } { 3 }\)
• E)3
• F) \(\frac { 3 } { 4 }\)
• G) \(\frac { 16 } { 3 }\)
• H)4

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Definitions:

Warm

A relative term describing a moderately high temperature, often perceived as comfortable to humans.

Temperature Inversion

A meteorological condition where the temperature of the air increases with altitude, contrary to the norm, which can lead to pollution events and smog.

Leeward Side

The side of a mountain or hill sheltered from the wind, usually having a milder climate and receiving less precipitation than the windward side.

Thermal Inversion

A weather condition where a layer of warm air traps cold air and pollutants near the surface of the Earth, often leading to poor air quality.