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# Sp02exF - i i x i y 1-10 2 2-5 3 5 2 4 6 2 5 10 10 Total A...

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Sp 02 EGN 3420 Final Name ________________________ SS # _____________________ Do Only 3 Problems – You must do Problem 1 Check the 3 problems you want graded. If there are no checks, the first 3 problems will be graded! p Problem 1 (35pts) _____ p Problem 2 (35 pts) _____ p Problem 3 (35 pts) _____ p Problem 4 (35 pts) _____ Total

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Sp 02 EGN 3420 FINAL Name_______________________ SHOW ALL WORK! Problem 1 (35 pts) Consider the definite integral /2 0 sin I xdx π = A) Use Simpson's Rule with 10 intervals to approximate I. Fill in the table below with the integrand ( ) i f x rounded to 4 places after the decimal point. Express your answer to 4 places after the decimal point. Remember to use x in rad. i i x ( ) i f x 0 0 1 2 3 4 5 0.7854 0.7071 6 7 8 9 10 B) Use the Gauss Quadrature 3 point formula to approximate I. Express your answer to 4 places after the decimal point. C) Compare the true relative error (in %) for both methods.
Sp 02 EGN 3420 FINAL Name_______________________ SHOW ALL WORK! Problem 2 (35 pts) The following data points were obtained experimentally.

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Unformatted text preview: i i x i y 1-10 2 2-5 3 5 2 4 6 2 5 10 10 Total A) Find the equation of the Least Squares line thru the data. B) Find the correlation coefficient r . Sp 02 EGN 3420 FINAL Name_______________________ SHOW ALL WORK! Problem 3 (35 pts) Given the following system of equations 1 2 3 4 1 3 4 1 2 3 4 2 3 4 3 6 6 2 3 2 1 17 x x x x x x x x x x x x x Kx + +-=--+ + =-+-= + + = A) Find the solution when K =3. Do not use your calculator to find the solution. B) Find the value(s) of K (if there are any) for which the system of equations does not have a unique solution. Sp 02 EGN 3420 FINAL Name_______________________ SHOW ALL WORK! Problem 4 (35 pts) The Newton-Raphson method is being used to find the root of 2 ( ) 4 0. f x ax =- = The table below shows the initial guess x and the first iteration value 1 . x i i x 1/2 1 5/4 The Newton-Raphson algorithm is 1 ( ) , 0,1,2,3,. .. ( ) i i i i f x x x i f x + =-= ′ Find the value of a ....
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Sp02exF - i i x i y 1-10 2 2-5 3 5 2 4 6 2 5 10 10 Total A...

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