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# 03_3 - ESE ‘2'“ Third Exam Name Spring EDIE ID Number...

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Unformatted text preview: ESE ‘2'“ Third Exam Name: Spring, EDIE ID Number: Do not place your mums tin this front page. _. Prob. 1 [20 points}: _ Prob. 2 (20 points): Prob. 3 (30 points].- th+ 4 (30 points}: 1' _.__..._ _ __..._._... .m-..m,m—WWL Prob. 1 {2i} points): Find the Laplace transform of the function ﬂl} Qiuft‘l Eff-FinH-“SJ — ZEI‘waHEf—r) 3:: .J Fain : .C (2.: m’t) -+ Eff-r) «(r-r) *2{szlafr-z)+1rttajurr-3J> _-.-_- 3; (r—e"- FEM-I- ‘2‘“) A- —|—|—lwu-n-—rl—I-I——' Prob. 2 (20 points): Gimp an input—output system, when the input ﬁt) = u“), we have the uutput yft) = 8—“ for i 3* 0. Find gift.) for t 3> I] when ﬁt] 2 tuft]. (14(1) is the unit slap function.) m) at?) Fm“ 1M”: Ff.“ :. J... (if-(4;. = f ’4 1 4-4-2 TﬂEﬂEFuuﬁ} Elia): {(4) _ A Fa} " A-rz - _-r_ A J ’ (£0; = Fm #m— 1412‘“: - ”n+2, .. A B '— TT Ari-3 = ' * _..L J. A- 75 J B‘ a : _ 4.1! 5‘5 3m: ELM?) — 3L2 140\$) 0R If f -.1f 362:} = T - 1-9 Fm \$.59, ‘30 ‘ Pmb..\$ [53" pomts]: Find the inverse Laplace transform of 1 FIGS] = 82(32+43+3) Pout AT ﬁa=9 awn: F1 2 = " I2“ 5'9; __ I F(#)- _-_-— ‘4' + 149. B {3* ﬁ1(.¢+1v-j2) (Ab-+2 +J'2) A1: f+4+1‘J2~ f Aqugg‘lg'z ’4.- : ““i——- i :1 = —~ 43' +4n+€ A“, ‘ 6:» &:£(’ “’4 Air-n+3 :HJ AL _ _, i: ._.__ J. A39 (41* 41—51%)": “F 6»?- ft! =9 B 1" f2 2 u——..'_..._._,_ .1 ("2+ng {1-2-59}, *E-PJ'U (“FEM ‘- 31 {-111.32}: 23% E ("UHF :- 331?” 2 2%: 3;: fad)" j «(3) + 2f?— - 4* .f H *{ff ‘fg ,7; 2*m2:)un¢}. 'Prub. 4 {3|} pointﬁ): Find £0.) for t } 0 when 110+) = 2 A and v[l]+) = 3 V. 5.x: m)? g h. 7:15 (urea-w nlﬁfﬁnfaahdh Eapn‘ru-ﬁ“ ”'3 :1” . 8‘. Zﬁd-éi + ELL-LHwL-e’v+3 =0 I6- 2\$z+gA+ 1;- 21’4-1-1,‘ {4+2} .4 5 H Ari-I + 45+; ...
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03_3 - ESE ‘2'“ Third Exam Name Spring EDIE ID Number...

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