A curve $C$ is represented by the parametric equations $x={{t}^{2}}(t+6)$, $y={{t}^{2}}+t-6$, for $t

Question

A curve $C$ is represented by the parametric equations $x={{t}^{2}}(t+6)$, $y={{t}^{2}}+t-6$, for $tFind the equation(s) of the tangent to the curve $C$ which is parallel to the $y$- axis. [3] Sketch $C$, showing clearly the axial intercepts. [2] Let $R$ be the finite region bounded by $C$ and the line $x=16$. Find the area of $R$. [5]

Accepted Answer

241 units²

2018 NYJC P1 Q8

2018 NYJC P1 Q8

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