Hi!

This is my first post here :)

I have encountered some trouble in my math homework.

A curve is defined parametrically by the equations:

x= t^3 - 6t + 4 and y= t - 3 + 2/t

Find:

i. the equations of the normals to the curve at the points where the curve meets the x-axis.

ii. the coordinates of their point of intersection.

I am simply stumped...