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

Question 63

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Find the unit tangent and unit normal vectors T(t)\mathbf { T } ( t ) and N(t)\mathbf { N } ( t ) for the curve C defined by r(t)=ti+2t2j\mathbf { r } ( t ) = t \mathbf { i } + 2 t ^ { 2 } \mathbf { j } Sketch the graph of C, and show T(t)\mathbf { T } ( t ) and N(t)\mathbf { N } ( t ) for t=1t = 1

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\[\begin{array} { l }
\mathbf { T } ( t...

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