Sketch the parametric curve $x = t^{3} + 1$, $y = 2 - t$ for $t \in \mathbb{R}$. Find the

Question

Sketch the parametric curve $x = t^{3} + 1$, $y = 2 - t$ for $t \in \mathbb{R}$. Find the coordinates of the points of intersection of the curve in (i) and the straight line $4y + x = 9$.

Accepted Answer

(i) Decreasing curve $y=2-\sqrt[3]{x-1}$, with intercepts $(0,3)$ and $(9,0)$ (ii) $(-7,4)$, $(1,2)$, and $(9,0)$

Graphing Techniques - Sketching Parametric Curves

Graphing Techniques - Sketching Parametric Curves

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