A curve ${C}$ has parametric equations $x={{t}^{3}}+2t$, ${x = t^3 + 2t, \quad y = 5\sin t}$ where $

Question

A curve ${C}$ has parametric equations $x={{t}^{3}}+2t$, ${x = t^3 + 2t, \quad y = 5\sin t}$ where ${0 \leq t \leq \frac{3\pi}{2}}$. Sketch ${C}$, indicating all axial intercepts and endpoints. The line ${y = 1 - x}$ intersects the curve ${C}$. Find the point(s) of intersection.

Accepted Answer

Intersection point: $(0.288, 0.711)$

EJC Graphing Techniques Tutorial Q2

EJC Graphing Techniques Tutorial Q2

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