What are the critical points for the plane curve defined by the equations x(t)=t 33−t22−2t−4y(t)=t32−2t+2

The  points are

Step-by-step explanation:

From the question we are told that

   The  first equation is  

     The second equation is  

Now differentiating the first and second equation

and

Now

at critical point

=>   \frac{9t^2 -4t-2}{6t-2}=0[/tex]

=>  

solving using quadratic formula we have that

and