The parametric curve is x=t 3 - 4t ; y=t 2 , complete the following: a) Sketch the graph b) find the two values of t where the graph crosses itself (crossing happens on the y-axis) c) Find the slopes...

The parametric curve is x=t³ - 4t ; y=t², complete the following:

a) Sketch the graph

b) find the two values of t where the graph crosses itself (crossing happens on the y-axis)

c) Find the slopes of the two tangents at the crossover point.

d) Find the arc length of the loop and approximate to two decimal places