Sp02ex1

Sp02ex1 - a unique solution. B) For the value of K found in...

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Sp 02 EGN 3420 EXAM I Name________________________ SHOW ALL WORK! Problem 1 (20 pts) Given the function 2 ( ) , x f x xe = a) Find f 2 ( x ), the second order truncated Taylor Series Expansion of the function about the point x 0 . Leave your answer in terms of x and x 0 . Note: Your final answer should not be f x f x f x x x f x x x 2 0 0 0 0 2 2 ( ) ( ) ( )( ) ( ) ( ) = + - + ′′ - b) Find then truncation error in f 2 ( x ) at x = 0.75 when 0 x = 0.5.
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Sp 02 EGN 3420 EXAM I Name________________________ SHOW ALL WORK! Problem 2 (20 pts) Solve the system of equations Ax b = by either finding A - 1 and then using 1 x A b - = or by the Gauss-Jordan method. Leave all answers in terms of fractions. Use either method covered in class to find A - 1 . 15 2 0 3 2 4 50 x y z x y z x y z + + = - + = + + =
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Sp 02 EGN 3420 EXAM I Name________________________ SHOW ALL WORK! Problem 3 (20 pts) For the system of equations 1 2 3 4 1 2 3 4 1 2 3 4 2 3 4 10 K 2 2 1 2 3 4 7 3 2 3 0 x x x x x x x x x x x x x x x + + + = + + - = - + - = - + - = A) Find the value of K for which there is not
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Unformatted text preview: a unique solution. B) For the value of K found in Part A) is the systems of equations consistent? Sp 02 EGN 3420 EXAM I Name________________________ SHOW ALL WORK! Problem 4 (20 pts) For the system of equations below 2 3 3 4 2 2 2 3 4 3 3 u x y z u x y z u x y z x y z + +-=-+-=--+-= + + = A) Show there are an infinite number of solutions. B) Without solving for y , determine if y is arbitrary. Sp 02 EGN 3420 EXAM I Name________________________ SHOW ALL WORK! Problem 5 (15 pts) The solution to the systems of equations Ax b = below is 1 2 . 3 x = 6 1 3 2 3 x y z Kx y z x Ky z + + =-+ = +-= -Find the value of K ....
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Sp02ex1 - a unique solution. B) For the value of K found in...

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