Solution Found!
Use Newton's method to find solutions accurate to within 10-5 for the following
Chapter 2, Problem 6(choose chapter or problem)
Use Newton's method to find solutions accurate to within 10-5 for the following problems. a. e x + 2~x -I- 2 cos x - 6 = 0 for 1 < x < 2 b. ln(x 1) + cos(x 1) = 0 forl.3 c. 2x cos 2x - (x - 2)2 = 0 for 2 < x < 3 and 3 < x < 4 d. (x 2)2 Inx = 0 for I < x < 2 and e < x < A e. e x 3x2 0 for 0 < x < 1 and 3 < x < 5 f. sin x e~x = 0 for0
Questions & Answers
QUESTION:
Use Newton's method to find solutions accurate to within 10-5 for the following problems. a. e x + 2~x -I- 2 cos x - 6 = 0 for 1 < x < 2 b. ln(x 1) + cos(x 1) = 0 forl.3 c. 2x cos 2x - (x - 2)2 = 0 for 2 < x < 3 and 3 < x < 4 d. (x 2)2 Inx = 0 for I < x < 2 and e < x < A e. e x 3x2 0 for 0 < x < 1 and 3 < x < 5 f. sin x e~x = 0 for0
ANSWER:Step 1 of 4
Newton's method (Algorithm 2.3) has been implemented in the software Mathematica and in Python. At the end of this exercise we provide the codes. The user can notice that in these codes it is required to update the function 
