Sp11_Quiz1_A_soln

Sp11_Quiz1_A_soln - EGN 3420 Quiz 1_A solution Sp 2011...

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Unformatted text preview: EGN 3420 Quiz 1_A solution Sp 2011 Problem 1 expanded about , find the second order truncated Taylor Series 0.5 to approximate the true value 0.5 . The numerical value of 0.5 is Given the function 0. Use the point a) 0 b) 1 c) 2.5 d) 2.7183 f ( x) e2 x , (3 pts) f '( x0 ) 2e 2 x0 2e 2(0) 2 f ''( x) 4e 2 x , f) none of the above f ( x0 ) e 2 x0 e2(0) 1 f '( x) 2e 2 x , e) 3 f ''( x0 ) 4e 2 x0 4e2(0) 4 f 2 ( x) f ( x0 ) f '( x0 )( x x0 ) f ''( x0 ) ( x x0 ) 2 2! 4 1 2( x 0) ( x 0) 2 2 1 2 x 2 x2 f 2 (0.5) 1 2(0.5) 2(0.5) 2 2.5 The true error a) 2.7183 of the estimate b) 1.7183 c) 0 ET f (0.5) f 2 (0.5) e2(0.5) 2.5 2.7183 2.5 0.2183 0.5 is d) 0.2183 e) ‐0.2817 f) none of the above (2 pts) Problem 2 Consider the following Matlab script file: x=0:2:10 y=1:6 w=x.*y z=x+y+w a=sum(z)/6 After running the script file, the numerical value of a is a) No value because an error message will appear d) 35.2952 e) 31.8333 x = 0 2 4 6 8 10 y = 1 2 3 4 5 6 w = 0 4 12 24 40 60 z = 1 8 19 34 53 76 a = 31.8333 b) 21.3281 f) none of the above c) 14.7103 (5 pts) ...
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