TEST _2A_2010 - TEST #2A (April 20, 2010) PGE 310 Name:...

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TEST #2A (April 20, 2010) PGE 310 Name: Signature: UT EID: NOTES: 1. You have 1 hour and 30 minutes. Points will be deducted for tests turned in after 8:30 2. Write your name on all pages of the test 3. SHOW ALL WORK. Partial (or any credit) cannot be given for problems without work shown
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Qualitative Questions (20 points) (a) Using the Taylor series (provided on your equation sheet), derive Newton’s method for solving for the root o a nonlinear equation. Show all work . (b) Consider the following system of equations. If I used an iterative method (like Gauss Seidel or Jacobi), am I guaranteed to converge to a solution? Show your work and explain . If the answer is NO, then arrange them so that they are guaranteed to converge. 2 4 3 2 5 2 7 4 2 x y z x y z x y z - + - = + + = - + + = (c) I have “x” versus “y” data. Explain (give two reasons) how I would decide to use curve fitting or interpolation to describe the data? (d)
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TEST _2A_2010 - TEST #2A (April 20, 2010) PGE 310 Name:...

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