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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Ad Hominem Fallacy

Rather than offering a counterargument, we target the character of the individual who presented the argument.

Earth is Flat

A debunked belief that the Earth is flat rather than an oblate spheroid.

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An informal expression indicating that something seems suspicious or not quite right.

Fallacy of Ambiguity

Debates featuring unclear expressions or careless linguistic constructions.