# Sp96ex3 - SP 96 EGN 3420 Exam 3 Name _ DO ANY 3 PROBLEMS...

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SP 96 EGN 3420 Exam 3 Name _______________________ DO ANY 3 PROBLEMS Show All Work! Use Only Methods Discussed In Class! Problem 1 (35 pts) π /2 Estimate sinx dx 0 A) Using Trapezoidal Integration with 10 equally spaced intervals. B) Using Simpsons 1/3 Rule with 10 equally spaced intervals. Fill in the following table to help with the calculations. Round all calculations and calculator display numbers to 4 places after the decimal. Remember to use radians when evaluating the trigonometric function. i x i f i 0 0.0000 0.0000 1 2 3 4 5 6 7 8 9 10

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SP 96 EGN 3420 Exam 3 Name _______________________ Problem 2 (35 pts) A quadratic spline is to be fit thru the following points: (0,1), (1,2), (3,3), (4,2). The spline is given by b 1 x + c 1 0 x 1 f(x) = a 2 x 2 + b 2 x + c 2 1 x 3 a 3 x 2 + b 3 x + c 3 3 x 4 A system of 8 equations in the 8 unknowns b 1 ,c 1 ,a 2 ,b 2 ,c 2 ,a 3 ,b 3 ,c 3 has been generated, i.e. Ax
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## This note was uploaded on 06/09/2011 for the course EGM 4320 taught by Professor Klee during the Spring '11 term at University of Central Florida.

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Sp96ex3 - SP 96 EGN 3420 Exam 3 Name _ DO ANY 3 PROBLEMS...

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