Question

For the following equations : x= 2t^2 , y = 3t^2 , z= 4t^2 ; 1 <=t <=3

A) write the position vector and tangent vector for the curve with the parametric equations above

B) Find the length function s (t) for the curve

C) write the position vector as a function of s and verify by differentiation that this position vector in terms of s is a unit tangent to the curve.

Answer 1

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