Plot[ (Exp [x 2] - cos[x] - 10, (2 x Exp[x 2]) +sin[x]),x, -2, 2)] 40 20 -2 20 -40 Newton' s Method Exp[f[i- 112] -Cos[f[i - 1]] - 10 (2 f[A-1] Exp [ f [i-1]"2]) + sin [ f [i-j i: 1;while [ Abs [ f [i]-t[i-1]] > 10^ (-2), Print [ { f [i], i}); i++] Investigation 2 Consider the Newton ' s Method. Set the actual root, ?, of the function to 1.52. and a-f [i] I for i-1 to 9. State your observation of the values. 1 . Table of values for x [O] = O. 2 that include i , f [i] , 2. For a convergence of Newton s method, determine an initial value, x [O] , that is different than .2 Repeat question umber 1 for the new initial value, x [O] Compare and Constrast the table values from 1 and 2. Plot[ (Exp [x 2] - cos[x] - 10, (2 x Exp[x 2]) +sin[x]),x, -2, 2)] 40 20 -2 20 -40 Newton' s Method Exp[f[i- 112] -Cos[f[i - 1]] - 10 (2 f[A-1] Exp [ f [i-1]"2]) + sin [ f [i-j i: 1;while [ Abs [ f [i]-t[i-1]] > 10^ (-2), Print [ { f [i], i}); i++] Investigation 2 Consider the Newton ' s Method. Set the actual root, ?, of the function to 1.52. and a-f [i] I for i-1 to 9. State your observation of the values. 1 . Table of values for x [O] = O. 2 that include i , f [i] , 2. For a convergence of Newton s method, determine an initial value, x [O] , that is different than .2 Repeat question umber 1 for the new initial value, x [O] Compare and Constrast the table values from 1 and 2