A curve $C$ is defined by the parametric equations $x=2{{t}^{2}}$, $y=\sin \left( -t \right)$, for $

Question

A curve $C$ is defined by the parametric equations $x=2{{t}^{2}}$, $y=\sin \left( -t \right)$, for $0\le t\le 3\pi $ Find the exact coordinates of the axial intercepts and sketch the curve $C$. [3] Find the coordinates of the point(s) of intersection between curve $C$ and the line $y=-\frac{1}{2}x+4$. [3]

Accepted Answer

(i) $(0,0)$, $(2\pi^{2},0)$, $(8\pi^{2},0)$, $(18\pi^{2},0)$; (ii) $(9.62, -0.812)$

ACJC Parametric Equations Tutorial Q4

ACJC Parametric Equations Tutorial Q4

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