Find the Point(s) on the Curve Where the Tangent Is $$x = t ^ { 3 } - 3 t + 2 , \quad y = t ^ { 3 } - 3 t ^ { 2 } + 2$$

question 36

Short Answer

Find the point(s) on the curve where the tangent is horizontal.
$$x = t ^ { 3 } - 3 t + 2 , \quad y = t ^ { 3 } - 3 t ^ { 2 } + 2$$

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Definitions:

Wavelength

The distance between successive peaks (or troughs) of a wave, commonly used in discussions of light, sound, and other types of waves.

Stimulate

To encourage something to grow, develop, or become active.

Young-Helmholtz Trichromatic Model

A theory of color vision proposing that the human eye has three types of receptors with different sensitivities to different light wavelengths.

Primary Color

Fundamental colors (typically red, yellow, and blue) that cannot be created by mixing other colors and from which other colors can be derived.