Homework #3

#Question 1 Results

Part (i)

solver	initial guess(es)	ea	number of iterations
falsepos	1, 50	2.16e-06	10
bisect	1, 50	3.94e-07	6
newtraph	1, 50	9.92e-06	24
mod_secant	1, 50	7.63e-06	624

Part(iii)

The file used to create the plots is "HW3_Script this file contains a series of for loops that take data from the root functions and places them into a "Table" from here it organizes the data and titles it. The convergence plot uses the information from the "Table" to plot the information on a a graph that is setup by calling the "setdefaults" function.

Part(ii)

check "convergence.png" graph

#Question 2 Results

Divergent

Iteration	x_i	Approx Error
1	2	12.5
2	2	9.5703
3	2	7.8262
4	2	6.6491
5	2	5.7943

Convergent

Iteration	x_i	Approx Error
1	0.2	1250
2	0.2	1.6531e05
3	0.2	4.5122e11
4	0.2	4.5122e11
5	0.2	4.5122e11

mat13032/roots_and_optimization

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