# Test _3B - TEST#3B PGE 310 Name Signature UT EID NOTES 1...

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TEST #3B (Nov 25, 2009) PGE 310 Name: Signature: UT EID: NOTES: 1. You have 50 minutes. Points will be deducted for tests turned in after 9:50 2. Write your name (or EID) 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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1. Qualitative Questions (15 points) a. If cubic splines are a bunch of polynomials pieced together, why is it that together they “look” like a single function? b. In curving fitting, why do we derive formulas by taking partial derivatives and setting them equal to zero? In other words, why does that guarantee we get the best curve c. I have taken some laboratory data and theoretically it should be modeled by the following equation. Do you recommend I use a curve fitting on the data or interpolate them? Why? 1 bx a y e - = +
2. Consider the following system of nonlinear equations 3 2 2 2 4 2 x xy y y + = - + = a. Perform the first iteration of Newton-Raphson to determine updated estimates for x and y using guess values of x = -1, y = -1. (20 points)

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Test _3B - TEST#3B PGE 310 Name Signature UT EID NOTES 1...

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