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numeric homework as example four
Typology: Schemes and Mind Maps
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Homework 2 Please show your calculations and then show the iterations and solutions in a table. This is a group homework, all of the students must solve the homework but only one solution paper must be sent for each groups. Question 1) a) Use simple fixed-point iteration to locate the root of Hint: Starting with an initial guess of X 0 = 0, this iterative equation can be applied to compute and stop at the tenth iteration. Calculate errors at each iteration and interpret the results (20 pts) b) Solve the problem in excel and draw the graph (20 pts) Question 2: Use the Newton-Raphson method to estimate the root of a) Employ an initial guess of X 0 = 0. Calculate the errors at each iteration and determine the root by interpreting the results. (20 pts) b) Solve the problem in excel and draw the graph (20 pts) Secant Method Question 3. (20 pts) Find the root of x4-x-10 = 0 Let the initial guess be 1.0 and 2. Calculate the errors at each iteration and determine the root by interpreting the results.