ese271-3 - ESE 271 Third Exam Spring, 2011 Do not place...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 2
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 4
Background image of page 5
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ESE 271 Third Exam Spring, 2011 Do not place your answers on this from: page Prob. 1: (10 points) Prob. ‘2: (30 points) Prob. 3: (30 points) Prob. 4: (30 points) Name: ID Number: Prob. 1: (10 points) Given f(t) : e’mufi). Thus, 13(5) : l/(5 + ‘2‘). State the Laplace transforms of the following. That is. find the explicit, functions of 5 cor» responding to the following. (if/alt as the ordinary derivative for U <:_ Z «i :x. (Ignore the jump at f : O lII flt‘f; (b) (if/dt as the, generalized derivative for 0 g t < oc. Include the jump at t 2:: 0 in fUi). (C) fit “ 2) (d) [0‘ f(1')(l;z: (e) NM -2 t I: —2 (a) «(if r — 2 G W») 2 d’ A + -2 z A _ 2 m A (A) :1): 5 arm ’26 W ’ Mg * M2 :22“ .494 (a; Q A +2 {as ’ 4 (A 10$ (9) ML» Prob. 2: (30 points) Find the Laplace transform of Mt). Iv r916 77h: DobMWN! or f. M 2 -+ C’L‘fp [IV/‘n/F 'i’ “rt/[3+3 “‘ 0 2’ ii 5‘: +H Hm» +4 ‘0 J? + ‘1" APPLY 2:! gr 2 M‘ :5) (Ala?) +<“I*T, ‘54 3A»? 345'? w ,4 ,,,,,, W, I = - ' M2" A2+54+6 (4+1fihc-os} A :- —J’ z 5’ z // . fl - z - 5") aft} 5 «69 2 1.1/9 5” ’ r, J (/fé/VIT: ANO‘YQEK uncut Tramway», r” Prob. 3: (30 points) Find vc(t) for O < t < 00, when vc(0+) = 0. Here e(t) : u(t — 3), as indicated. 2.0. I %(0)=0 + em = u #3) GU) 11;”) .1. F ( w“: - 4. 73.3, eff/=0 7’5:- "0) 8(1) :1 forfei 7RAA/5rdnné o C(ficu!1~; 2 Em ~34 Eu}: : 30’ 2 2 9‘3): A(4+2) “ELM v 441 .,_ MEL ADM?) A A4»? A ' I ) 8: ~! 77‘”: «In — —. 9“”, w 1 C > - .4! (twin? “’2‘” 3 “(NJ «4” flaws) Awmm $owm~. I} TRE Tm: Damauv. “<5” :31,“ J, chew) KM '2 + ‘+ at " APP Y ’5’ L KALZJZL” + J-(A V620,} - 0) -: 2 ¢ 34 / \ (3‘ \é/A} z' “igffiil ) 5(4) : ‘ ,1» 134-2 2 -3 , k a Ca V (25) ’-‘ C’ A ) ’7‘ pm”, ‘ Prob. 4: Determine the inverse Laplace transform f (_ t) :: F(_s) of i : , (‘5') (s L1)(\.5 r2)3 8 8 F/A) : ’4 + :3 -+ 2‘; 4 A+‘t (A+2.) /A+z) A: ~41 .u _ J. (A14) {/5 r“); ' a t a J. a, = w; - 2 A4“? Ar»? w J 5 ;~ _ JAM 82‘ d”, A+‘#) A”? (Ax-(m)1 A“? ,5 3: ii: w—L-«m I d/ ,:_’__, 3 2 B 45*“ 4:4 ‘ 2 4» «MM 5;) ‘ix / “gr ; Z” “2% “if/8&2? {gi;‘:—g;€ +«i’3-e ’54 , -w 2” ~11 t «2: 4 ...
View Full Document

This note was uploaded on 09/26/2011 for the course ESE 271 taught by Professor Zemanian during the Spring '08 term at SUNY Stony Brook.

Page1 / 5

ese271-3 - ESE 271 Third Exam Spring, 2011 Do not place...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online