hw15 - MAE 107 Assignment 5 Due Thursday, 28 Oct., 2010...

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Unformatted text preview: MAE 107 Assignment 5 Due Thursday, 28 Oct., 2010 Problems to hand in (Not all problems may be graded.) 1. Epperson, Section 3.2 problems: 2, 5b, 7. 2. Epperson, Section 3.3 problem: 3a. 3. Epperson, Section 3.5 problem: 3. (Use equation (3.12).) 4. Epperson, Section 3.8 problem: 1. 5. Epperson, Section 3.9 problem: 1a. 6. Consider applying Newtons method to finding the root of f ( x ) = 3 e- x- 4 x . Using the Newton error formula, estimate the number of terms needed to achieve an accuracy of 10- 8 , starting from x = 1. 7. Apply Newtons method for n > 1 dimensions to find a solution of the (simultaneous) pair of equations x 2 + y 2 = 7 / 4 and 3 y = x 2 . Start from ( x, y ) = (2 , 1). (You might note that there are two solutions given by ( x, y ) = ( radicalBig 3 / 2 , 1 / 2) and ( x, y ) = (- radicalBig 3 / 2 , 1 / 2).) For this simple problem, one could use substitution to convert the pair into a single equation, but that is not what is being requested here. The system ofequation, but that is not what is being requested here....
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hw15 - MAE 107 Assignment 5 Due Thursday, 28 Oct., 2010...

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