EM-Quiz9 - MATH 3321 1. Set f (x) = x2 + 2, x, Quiz 9...

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MATH 3321 Quiz 9 3/22/10 1. Set f ( x )= ± x 2 +2 , 0 x< 1 x, x 1 . L [ f ( x )] = (a) 2 s 3 + 2 s - e - s ² 3 s 3 - 1 s 2 + 1 s ³ (b) 2 s 3 + 2 s - e - s ² 2 s 3 + 1 s 2 + 2 s ³ (c) 2 s 3 + 2 s - e - s ² 1 s 3 + 1 s 2 - 3 s ³ (d) 2 s 3 + 2 s - e - s ² 2 s 3 - 1 s 2 - 2 s ³ (e) None of the above. 2. Set f ( x x, 0 1 x 2 , 1 2 0 ,x 2 . L [ f ( x )] = (a) 1 s 2 + e - s ² 1 s 3 + 2 s 2 ³ - e - 2 s ² 2 s 3 - 4 s 2 + 4 s ³ (b) 1 s 2 + e - s ² 3 s 3 - 1 s 2 ³ - e - 2 s ² 4 s 3 + 2 s 2 + 4 s ³ (c) 1 s 2 + e - s ² 2 s 3 + 1 s 2 ³ - e - 2 s ² 3 s 3 - 4 s 2 - 4 s ³ (d) 1 s 2 + e - s ² 2 s 3 + 1 s 2 ³ - e - 2 s ² 2 s 3 + 4 s 2 + 4 s ³ (e) None of the above. 1
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3. Set F ( s )= e - s 1 s 3 + e - 2 s 1 s 2 . L - 1 [ F ( s )] = (a) 0 , 0 x< 1 1 2 ( x - 1) 2 , 1 2 x 2 - 3 2 ,x 2 . (b) 0 , 0 1 1 2 ( x - 1) 2 , 1 2 1 2 x 2 +2 x - 1 2 . (c) 0 , 0 1 1 2 ( x - 1) 2 , 1 2 1 2 x 2 - x 2 . (d) 0 , 0 1 1 2 ( x - 1) 2 , 1 2 x 2 +3 2 2 .
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EM-Quiz9 - MATH 3321 1. Set f (x) = x2 + 2, x, Quiz 9...

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