# Sp94exF - Sp 94 EGN 3420 FINAL Name Show All Work Use Only...

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Sp 94 EGN 3420 FINAL Name ___________________ Show All Work! Use Only Methods Discussed In Class! Problem 1 (25 pts) Estimate the integral / 2 0 sin I xdx π = 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 to 4 places after the decimal. 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 94 EGN 3420 FINAL Name _______________________ Problem 2 (25 pts) The following integral is to be approximated using Trapezoidal Integration. ( 29 4 4 2 0 1 2 2 12 I x x dx = - - + Let I n represent the approximation to I when the interval (0,4) is subdivided into n equal sub-intervals. How many sub-intervals must there be so that the error | I - I n | is at most 4 10 3 - ?
Sp 94 EGN 3420 FINAL Name _______________________ Problem 3 (25 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

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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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Sp94exF - Sp 94 EGN 3420 FINAL Name Show All Work Use Only...

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