17.. Let \(C\) be the curve \(y=(x-1)^3\) and let \(L\) be the line \(3y+x=0\text{.}\) Find the equation of all lines that are tangent to \(C\) and are also ...

As the tangent is a straight line, the equation of the tangent will be of the form \(y = mx + c\). We can use perpendicular gradients to find the value of \(m\), then use the coordinates of P to ...

As the tangent is a straight line, the equation of the tangent will be of the form \(y = mx + c\). We can use perpendicular gradients to find the value of \(m\), then use the coordinates of P to ...