10/02/2023Hello kindly assist with the below

The tangent circle to a curve is the circle that best approximates the curve at a specified point. We will find the equation of the tangent circle to y = 212 at (2, 2) in the following steps: 1. The curvature of the tangent circle is equal to the curvature of y = 2x2 at (2, 2). Find this curvature. (You'll need to find T'(t) in part 3, so to save work use the curvature formula k = T'(t)1 To' (t) 1 ) 2. What is the radius of the tangent circle? (How is the radius of a circle related to it's curvature? If you're unsure, check your notes) 3. The principal unit normal vector points directly towards the center of the tangent cir- cle. Use this fact and the radius of the circle to find the center of the circle. 4. Write down the equation for the tangent circle