EM-Quiz7 - 3 (c) 2 s + 1-2 s-1-6 s 3 + 3 s + 3 (d) 4 s-1 +...

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MATH 3321 Quiz 7 3/4/10 1. If f ( x )=2 e - 3 x + cos 2 x +3 x , then L [ f ( x )] = (a) 2 s - 3 + 2 s 2 +4 + 3 s 2 (b) 2 s +3 + s s 2 +4 + 3 s 2 (c) 2 s - 3 + s s 2 +4 + 3 s 3 (d) 2 s +3 + 2 s 2 +4 + 3 s (e) None of the above. 2. If f ( x )=2 e 2 x sin 3 x - 2 xe 3 x + 4, then L [ f ( x )] = (a) 3 s 2 - 4 s +13 - 2 ( s +3) 2 + 4 s (b) 6 ( s - 2) 2 +9 + 2 ( s - 3) 2 + 4 s 2 (c) 6 s 2 - 4 s +13 - 2 ( s - 3) 2 + 4 s (d) 3 ( s - 2) 2 +13 + 2 ( s +3) 2 + 4 s (e) None of the above. 3. If f ( x )= x 2 +2 x - 3 e - x + 5 cos 3 x , then L [ f ( x )] = (a) 1 s 3 + 2 s 2 - 3 s - 1 + 5 s 2 +9 (b) 2 s 3 + 1 s 2 + 3 s +1 + 5 s s 2 +9 (c) 1 s 2 + 2 s - 3 s +1 +5 3 s 2 +9 (d) 2 s 3 + 2 s 2 - 3 s +1 + 5 s s 2 +9 (e) None of the above. 1
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4. If F ( s )= - 2 s 2 + 2 s +3 s 2 +4 , then L - 1 [ F ( s )] = (a) - 2 x + 2 cos 2 x + 3 2 sin 2 x (b) 2 x + cos 2 x + 3 2 sin 2 x (c) - 2 x + 2 cos 2 x + 3 sin 2 x (d) 2 x + cos 2 x - 3 sin 2 x (e) None of the above. 5. If F ( s )= s +3 s 3 +9 s , then L - 1 [ F ( s )] = (a) 1 3 - 1 3 cos 3 x + 1 3 sin 3 x (b) 2 3 - 1 3 cos 3 x + 2 3 sin 3 x (c) 1 3 + 1 3 cos 3 x - 1 3 sin 3 x (d) 2 3 + 1 3 cos 3 x + 1 3 sin 3 x (e) None of the above. 6. If F ( s )= s 2 +2 s - 3 s 3 - 4 s , then L - 1 [ F ( s )] = (a) 3 4 - 5 8 e 2 x + 3 8 e - 2 x (b) 3 4 + 5 8 e 2 x - 3 8 e - 2 x (c) 3 4 + 3 8 e 2 x - 5 8 e - 2 x (d) - 3 4 - 3 8 e 2 x + 5 8 e - 2 x (e) None of the above. 7. 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 + 4 s 2 (c) 2 ( s +1) 2 + 4 s s 2 +4 + 2 s 2 (d) 2 ( s +1) 3 + 2 s s 2 +4 + 4 s 2 (e) None of the above. 2
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8. 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 +1 - 3 s 3 + 1 s -
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Unformatted text preview: 3 (c) 2 s + 1-2 s-1-6 s 3 + 3 s + 3 (d) 4 s-1 + 4 s + 1-6 s 3 + 3 s-3 (e) None of the above. 9. Set F ( s ) = s 2-2 s + 4 ( 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 + 4 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. 10. Set F ( s ) = 3 s 2 + 5 s-1 s 3 + 2 s 2 + 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. 3...
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EM-Quiz7 - 3 (c) 2 s + 1-2 s-1-6 s 3 + 3 s + 3 (d) 4 s-1 +...

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