Find the Unit Tangent and Unit Normal Vectors $\mathrm { T } ( t )$

question 29

Essay

Find the unit tangent and unit normal vectors $\mathrm { T } ( t )$ and $\mathrm { N } ( t )$ for the curve $C$ defined by $\mathbf { r } ( t ) = t \mathbf { i } + 2 t ^ { 2 } \mathbf { j }$ . Sketch the graph of $C$ , and show $\mathrm { T } ( t )$ and $\mathrm { N } ( t )$ for $t = 1$ .

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Definitions:

Hegemonic Masculinity

A concept that describes the practices that promote the dominant social position of men, and the subordinate social position of women.

Emphasized Femininity

A concept denoting the socially constructed ideals of femininity that emphasize traits like submissiveness, empathy, and nurturing, often in contrast to masculinity.

Sociological Theories

Frameworks and perspectives used to analyze and interpret social phenomena, focusing on patterns of social relationships, interaction, and culture.

Ideology

A set of beliefs and values that support and justify the ruling class of a society.