1. For the function from part (b) of question 3 on Assignment 2:f(x)=1.051.04x+ Inx, accelerate the method of x=g(x) using Steffensen's method to find the lower value of root. Compare the number of iterations necessary to achieve a tolerance of 1106 and estimate the new order of convergence. 2. For the function y=x3+9x2+2.75x78.75 (a) plot this function in Matlab with a range on the x axis which includes all roots. (b) Use a Newton's method program to calculate a root, with initial guesses ranging from 4.7 to 5.2 in 0.1 increments. Briefly explain the results. (c) Use deflation to reduce the original equation after finding the first root (any of them). Find the remaining roots from the deflated polynomial