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05spring3rd

# 05spring3rd - HE H 2" Third Exam Name Spring 2005 ID...

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Unformatted text preview: HE: H 2?"! Third Exam Name: Spring, 2005 ID Number: DD nul- plan: your answers on this from: page. Huh. 1. [20 points]: Prob. 2. {25 prints]: Prob. 3. {3U points]: Huh. 4. {25 points}: Prob. 1. {2H points} Find the Laplace transform of the function = I] for 'i! <1 0, = 1+“ far I] i: L S- 1, and Fa; I H! Ell—A- : — E Fiﬁ] Aer—H A-H th-H] n J—- e Prob 2. (25 points} Find m3} for t 3:» 0'. In a % 2J1 -—~——~—~«W‘ —2t : i 1 vfmlid? ruff} - r3 _,_ (LE q M; 2 + i, d... “9 HPPH f I W41— ______::3 + 4 (A WM —0) r a? ,2 an an). 2 2 W'Al + x5 V59” = 4+2 2 I 2‘ ——"*' V 4‘1 9+1): Weft) .~ 2 feet ﬁnafﬁrer .way; {PEI-H othﬂL-I‘at” km?" ,2 -\—-—\—MA_.— j, q- v I dg'w'rrwr 40%|) GEE?» - " We A1!!— L_IF_'__-j 4 £3. J J YEA} = -.v A“ Im‘l :. 4+: “4+2 1+1 i A. '2. 4- A _ . “Hg but: unrwﬁ'l", WA} : % I'M”: TM; PM: thﬁ : Q Prob. 3. [3G1mian) Using a, unclal analysla, 11ml the Laplace Lramsfurm Flue) uf 111(3). Write your answer as a, polynomial in s over a polynomial in 3. Iﬂiide the be! “can: aria/15:34:"; (<5; an rm: “mm.- 1 —fa£ﬂ+2ﬂ+ arm)“ H :0 a: ‘3: a ,1 C.- Alf? Vlw—Vl:3'lff 5% Eé=m2qﬁ l '4‘”; ~27 +2f4H-2] + 3 E: + :- rt? SHEET*T““”‘: If: “no THU Ann FauAT'ra-u WE‘GI’ ﬂywrxfri. way; U35: THE fmnusranmw cram-H73 V2 ._r- e .L A? a 4 jﬂflpf (in HE m..¢w#: II E __._‘_ V; V: L __ A? + L '— 1‘L + T + A. 'D 1‘, 5? de‘ yawn: “WE “"5 Prob. 4. points) Determine the time Jfunction ﬁt} that is the convolution of e_ru[t} and tuﬂ}. r42 ﬁn {I I --L-- k i Ar + ._.._._ + WP. F #4:) 4.1-! A: Z?- A, ML,“ m: _J_ -1“. :. _ L i. _, ’42 IUJA A-ﬂ Ana “+1.1 4:; B "T r. l ‘4 Air: 3:9" Fi'ﬁ}: -—-L— ... ._"_ + i A2 4. 41+: T ,2‘ -{r—ﬂ _t :x f E’ 'x (if? — 5' In x F the a _: T Ht(xexnt Hf Eight] (Inrefrmi? 5‘? Fari'ﬂ-i- : r? “L; a .5131?! amaziré-r may.“ t -x i (r'“‘9 5;" = if ewe" - ace—wt: a {flirt a‘hi‘eg'ﬂa'ﬁron 13-}.- lrgahf: on the Saran-J lln‘i'E'jrl-‘q! WEE-M: He fame raxur'l, ...
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