Using Mathematica, please create the correct code to answer all parts to this question:

P3) (L 1.3.5) Consider the function f (ac) = x2 + 1 Figure 1.3.5 in the Loustau book shows a graph of this function. a) Use Mathematica command Find Root to solve f (x) = 0 starting at 1.5. What happens? Why? b) Use your own program to execute Newton's method starting at x = 1.5. Display the output for the first 10 iterations. c) Plot f along with the tangent at the 4th iteration. Put both plots on the same axis. Follow the hint given by Loustau for this problem. Note the typo in the definition of tngplt - the definition of funplt has correct syntax.Elements of Numerical Analysis with Mathematica Fig. 1.5 Figure 1.3.5 f and the tangent line at C = (x1, f(x1))