Find the Coordinates of the Point Where the Line Tangent $\vec { r } ( t ) = t \vec { i } + t ^ { 2 } \vec { j } + t ^ { 3 } \vec { k }$

question 22

Essay

Find the coordinates of the point where the line tangent to the curve $\vec { r } ( t ) = t \vec { i } + t ^ { 2 } \vec { j } + t ^ { 3 } \vec { k }$ at the point (4, 16, 64)crosses the xy-plane.

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Definitions:

William Masters

A pioneering sex researcher who, along with Virginia Johnson, developed the sexual response cycle theory and conducted extensive research on sexual behavior.

Sexual Responses

The phases of physiological and emotional changes that occur as a person becomes sexually aroused and participates in sexually stimulating activities, including plateau, orgasm, and resolution.

Male-Female Relationships

refer to the social, emotional, and/or sexual interactions between individuals of opposite genders.