Solutions - 0260-01

Find a formula for the slope of the tangent line:

$$m=\frac{y^{\prime }(t)}{x^{\prime }(t)}\gg \gg \frac{3t^2-6}{6t-2}$$

Solve for the $t$ where $m=3$:

$$\begin{array}{c}\frac{3t^2-6}{6t-2}=3\gg \gg t^2-2=6t-2\\ \\ \gg \gg t^2-6t=0\\ \\ \gg \gg t=\mathrm{0,6}\gg \gg (x,y)=(\mathrm{0,0}),(\mathrm{96,180})\end{array}$$