1. (15 points) Use bisection and false position to locate the root of f(x) = x 15 − 1. Start
with an initial guess of 0 and 1.5. Do this by hand and SHOW ALL THE WORK.
Do 5 iterations for each method.
Bisection:
Iteration (i) xl xu xr t(%)
1 0 1.5
2
3
4
5
False position:
Iteration (i) xl xu xr t(%)
1 0 1.5
2
3
4
5
2. (25 points) Develop a Matlab code for the bisection method. Your program should have
a main file and a function file. The main file will be used to define the given equation,
initial values and to call the function file. The function file should only contain the code
for bisection method (no initial data should be defined in the function file).
Use the equation and initial guess from question 1 to verify your code.