Tangent and Normal unit vectors of parametric curve r(t)=(t,t^2)

Introduction : In this solution, we will determine Tangent and Normal unit vectors of parametric curve r(t)=(t,t^2).Question : Find Tangent and Normal unit vectors of parametric curve\[r\left(t\right)=\left(t,\ t^{2}\right)\]Solution :For a space curve whose parametric curve is \[r\left(t\right)=\left(t,\ t^{2}\right)\] then the tangent is…

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