Question

L1 (x) for x<0, f="" x="" for="" 0="" 100="" and="" l2="">100] doesn't have a continuous second derivative. So decide toimprove the design by using a quadratic function q(x)=ax^2+bx+conly on the interval 10 less than or equal x less than or equal to90 and connecting it to linear functions by means of two cubicfunctions: g(x)= KC^3+ lx^2+mx+n 0<x<10 h(x)= PX^3+qx^2+ RX+S 90<X100

A) Write a system of equations in 11 unknowns that ensure thatthe functions and their first two derivatives agree at thetransition points.

B) find formulas for q(x),g(x), and h(X)

C) Plot L1,G,Q, H, and L2