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

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

d

step-by-step explanation: