Sp11_Quiz2_soln

Sp11_Quiz2_soln - EGN 3420 Quiz 2 Solution 3 Consider the...

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EGN 3420 Quiz 2 Solution Sp 2011 Consider the function ݂ሺݔሻൌݔ െ3ݔെ2 . 1) The 3rd estimate ݔ using the Bisection method with initial bracket ݔ ൌ0 ൌ3 is a) 1.5025 b) 2.1525 c) 1.9750 d) 2 e) 1.8750 f) none of the above (3 pts) 3 2 ( ) 3 2 ( 0, 3) 03 1.5 22 () ( 0 ) 2 ( ) (1.5) (1.5) 3(1.5) 2 3.125 ( ) ( ) (0) (1.5) ( 2)( 3.125) 0 1.5, 3 1.5 3 2.25 ( ) (2.25) (2.25) lu R l R lR l R u R R fx x x x x xx x f f fx fx f f x x x x f    2 3(2.25) 2 2.6406 ( ) ( ) (1.5) (2.25) ( 3.125)(2.6406) 0 2.25 1.5 2.25 1.875 R R f f x x x x   2) The Newton Raphson method is used with an initial guess of ݔ . After two iterations, the computed value of ݔ is a) 1.9850 b) 2.3518 c) 2.0556 d) 1.5382 e) 2 f) none of the above (2 pts) 3 2 0 0 10 0 1 21 1 3 2 '( ) 3 3 3 (3) 16 3 3 2.3333 '( ) '(3) 24 ( ) (2.3333) 3.7037 2.3333 2.3333 2.0556 '( ) '(2.3333) 13.3333 x x x x f f f f     

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3) Consider the Matlab script file: x = linspace(1,5,5); n = length(x); y = 0:n; z
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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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Sp11_Quiz2_soln - EGN 3420 Quiz 2 Solution 3 Consider the...

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