EM-Quiz8 - MATH 3321 Quiz 8 10/15/09 1. Set f (x) = 2xex +...

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MATH 3321 Quiz 8 10/15/09 1. Set f ( x )=2 xe - x + 4 cos 2 x +2 x . L [ f ( x )] = (a) 2 ( s +1) + 2 s s 2 +4 + 2 s 3 (b) 2 ( s - 1) 2 + 2 s 2 + 4 s 2 (c) 2 ( s 2 + 4 s s 2 + 2 s 2 (d) 2 ( s 3 + 2 s s 2 + 4 s 2 (e) None of the above. 2. Set f ( x ) = 4 cosh x - 3 x 2 +3 e 3 x . L [ f ( x )] = (a) 2 s - 1 + 2 s +1 - 6 s 3 + 3 s - 3 (b) 2 s - 1 + 2 s - 3 s 3 + 1 s - 3 (c) 2 s - 2 s - 1 - 6 s 3 + 3 s (d) 4 s - 1 + 4 s - 6 s 3 + 3 s - 3 (e) None of the above. 3. Set F ( s )= s 2 - 2 s ( s - 1)( s +2) 2 . L - 1 [ F ( s )] = (a) 1 3 e x - 4 xe 2 x + 2 3 e 2 x (b) 2 3 e x - 4 xe - 2 x + 1 3 e - 2 x (c) 2 3 e x xe - 2 x + 1 3 e - 2 x (d) 1 3 e x - 4 xe - 2 x + 2 3 e - 2 x (e) None of the above. 1
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4. Set F ( s )= 3 s 2 +5 s - 1 s 3 +2 s 2 s . L - 1 [ F ( s )] = (a) - 1 2 + 5 2 e - x sin x + 7 2 e - x cos x (b) 1 2 - 5 2 e - x cos x + 7 2 e - x sin x (c) - 1 2 + 5 2 e x sin x + 7 2 e x cos x (d) 1 2 + 5 2 e x cos x + 7 2 e - x sin x (e) None of the above. 5. Set f ( x ± 2 x +1 , 0 x< 2 3 x, x 2 . L [ f ( x )] = (a) 2 s 2 + 1 s +3 e - 2 s 1 s 2 (b) 2 s 2 + 1 s + e - 2 s 1 s 2 + e - 2 s 1 s (c) 2 s 2 + 1 s - 2 e - 2 s 1 s 2 +6 e - 2 s 1 s (d) 2 s 2 + 1 s e - 2 s 1 s 2 - 5 e - 2 s 1 s (e) None of the above. 6. Set f ( x ± x , 0 1 2 e 2 x ,x 1 . L [ f ( x )] = (a) 1 s 2 + 2 s + e - s ² 2 s - 2 - 1 s 2 - 3 s ³ (b) 1 s 2 + 2 s + e - s ´ 2 e 2 s -
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EM-Quiz8 - MATH 3321 Quiz 8 10/15/09 1. Set f (x) = 2xex +...

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