A curve has parametric equations given by $x = 2t^2 + t$, $y = t^3 - 3t$. Find the equation of t

Question

A curve has parametric equations given by $x = 2t^2 + t$, $y = t^3 - 3t$. Find the equation of the tangent on the curve which is parallel to the $y$-axis. Find the coordinates of the point when the tangent at $t = -\frac{1}{2}$ meets the curve again.

Accepted Answer

(a) $x=-\dfrac18$ (b) $\left(66,\dfrac{1199}{8}\right)$

Applications of Differentiation - Tangents and Normals to Parametric Curves

Applications of Differentiation - Tangents and Normals to Parametric Curves

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