Please explain step by step your answer. Use the formula given for curvature for your answer.

Suppose you are designing a railroad track to make a smooth transition between sections of straight track. Existing track along the negative x-axis is to be joined smoothly to a track along the line 3: = 1 for x :3 1. a. Find a polynomial P = P(x) of degree 5 such that the function F defined by D ifxs F(x)= P(x) if