# HW4 - graphical method or the ideal gas equation of state...

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COT 3502 Computer Model Formulation Spring 2008 1 Homework # 4 Due Tuesday, February, 26 You should use VB for problems 1-5 and 7 of this homework. 1. Problem 6.1 from the textbook. 2. Problem 6.5 from the textbook. 3. Write and test a code for the Modiﬁed Secant Method. Using your code, solve problem 6.15 from the textbook. 4. Problem 8.2 from the textbook. Use the Newton-Raphson or the modiﬁed secant method to solve this problem. You may want to use the graphical method to estimate a good initial guess for your solution. 5. Problem 8.7 from the textbook. Use the Newton-Raphson or the modiﬁed secant method to solve this problem. You may want to use either the
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Unformatted text preview: graphical method or the ideal gas equation of state to estimate a good initial guess for your solution. 6. Consider the system of equations ± 1 2-2-4 !± u v ! = ± b 1 b 2 ! . (1) Obtain all vectors b for which this system has solutions. Provide a geo-metric interpretation for situations when the system (a) does and (b) does not have solutions. 7. Write a Visual Basic code to compute the matrix-vector product. Apply this code to the following products and compare the obtained results with your calculations by hand: ± 2-3-1-1 !±-2 1 ! and 3 1-1 1 5 4-2-3 1 -1 2 1 . (2)...
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