Matlab code

% WRITE CODE BELOW: % Read the Question3.pdf file about Newton's method. We're going to find the % zeroes of that function. % Step 1: Initialize a vector x of 50 entries. Set x(1)=1 % Step 2: Fill the remaining entries of x in a loop using the last formula % in Number3.pdf % Step 3: Repeat parts 1 and 2 for a starting guess of x(1)=-0.5 instead % WRITE COMMENT BELOW: % Which two different values did x close in on with the two initial guesses % of x=1 and x=-0.5? Question3.pdf Download Question3.pdf (66 KB) ZOOM + Newton's Method 2017-1-25 MATH 151 section 001 For the function S(I) = 25 224 +22 -0.05, there are 5 distinct zeroes on the interval (1, 2). Newton's method is a method that solves the equation f(x) = 0 given an initial guess which is close to the right value. Use f'(c) = 5x4 8213 +21, and the formula for Newton's method, which is 1+1 = 1; S'C) Specifically for this example, the updating that you need to use inside your for loop is 22 - 264 +3 -0.05 1+1 = 2 5x1 - 8x3 +21; Lastly, here are 5 good initial guesses that should help find you the distinct roots. r= -0.5, r = -0.2, 2 = 0.2, =1, r = 1.6