Exam 1 Fall 2004

# Exam 1 Fall 2004 - Use x-1 =-1 and x = 2 c(10 pts Describe...

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ChE 2120 Exam 1 September 17, 2004 (1) (35 pts) Consider the following equation: Use a numerical method of your choice to solve for x . Perform 3 iterations of this method and show all your work. Hint: there is one root in the interval -0.75 < x < 0.75.

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(2) Consider the function f(x) shown below, to solve f(x) = 0 for x . a. (10 pts) Sketch two iterations of the false position method. Use x l = -1 and x u = 2. b. (10 pts) Sketch two iterations of the secant method.
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Unformatted text preview: Use x-1 = -1 and x = 2. c. (10 pts) Describe the similarities and difference between these two methods (use the back of the page if necessary). (3) a. (20 pts) Apply Gauss elimination to solve A x = b for x . (3) b. (15 pts) Characterize the solution for x as one of the following: ___ One unique solution exists. ___ No solution exists. ___ An infinite number of solutions exist. Explain your answer....
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Exam 1 Fall 2004 - Use x-1 =-1 and x = 2 c(10 pts Describe...

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