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

Question

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

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Question

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]

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