Question

2. You must determine the root of the following easily differentiable function you may use the spreadsheet to check your solutions, e^0.50x = 5 - 5x Pick the best numerical technique, justify your choice and then use that technique to determine the root. Note that it is known that for positive initial guesses, all techniques except fixed-point iteration will eventually converge. Perform iterations until the approximate relative error falls below 2%. For methods that require 2 initial guesses use the sin(radians(day of birth + last digit of birthyear)) for X1 or Xi+1. You have to choose your own upper limit Xu. e.g. Birthdate is September 21, 1972, the X1 = SIN(RADIANS(21+2)) For methods that require one initial guess, use the sin(radians(day of birth + last digit of birthyear)) for Xi. You have to choose your own upper limit Xu. Given Birthdate: May 23, 2000

          2. You must determine the root of the following easily differentiable function you may use
the spreadsheet to check your solutions, e^0.50x = 5 - 5x Pick the best numerical
technique, justify your choice and then use that technique to determine the root. Note that
it is known that for positive initial guesses, all techniques except fixed-point iteration will
eventually converge. Perform iterations until the approximate relative error falls below 2%.

For methods that require 2 initial guesses use the sin(radians(day of birth + last digit of
birthyear)) for X1 or Xi+1. You have to choose your own upper limit Xu.
e.g. Birthdate is September 21, 1972, the X1 = SIN(RADIANS(21+2))

For methods that require one initial guess, use the sin(radians(day of birth + last digit of
birthyear)) for Xi. You have to choose your own upper limit Xu.

Given Birthdate:
May 23, 2000

2. You must determine the root of the following easily differentiable function you may use
the spreadsheet to check your solutions, e^0.50x = 5 - 5x Pick the best numerical
technique, justify your choice and then use that technique to determine the root. Note that
it is known that for positive initial guesses, all techniques except fixed-point iteration will
eventually converge. Perform iterations until the approximate relative error falls below 2%.

For methods that require 2 initial guesses use the sin(radians(day of birth + last digit of
birthyear)) for X1 or Xi+1. You have to choose your own upper limit Xu.
e.g. Birthdate is September 21, 1972, the X1 = SIN(RADIANS(21+2))

For methods that require one initial guess, use the sin(radians(day of birth + last digit of
birthyear)) for Xi. You have to choose your own upper limit Xu.

Given Birthdate:
May 23, 2000

Added by Kendra W.

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