# Mid2sol2010 - Math 257/316 Midterm 2 Section 101/102 12 NOVCJ'I'DIJCI‘ 2010 Instructions The exam lasts 55 minutes Calculators are not allowed A

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Unformatted text preview: Math 257/316, Midterm 2, Section 101/102 12 NOVCJ'I'DIJCI‘ 2010 Instructions. The exam lasts 55 minutes. Calculators are not; allowed. A forn'lula. shoot is attacl‘wd. 1. Solve the following 1lon-llm'nogoneous initial boux‘lc'lal'y value prolﬂom for 1.110 heat; ommtion: {25 nun-ks] m um + 1 0 < a; < 1, 3’; > (} um, L) u(1,1) : 0 u(.’1:,0) : 0. Hint: you may ﬁnd it; useful to know that; for n 2:: 3,13,. . ., 9 ..r ((4 )1? 1) .1 2:2 sin(mr:1;)cl:1: :2 3 3 . U n W m ° glw‘lfwlwlu mom was» 72> owmm a do; ~l => vb: wacbﬂr “DVSJiLllM “(3) 9 ézvhﬂr: [5 3) O:Vu\:wl,2f\¥ : A g) villi-Urged) ; o a: : V‘Z'DL) + WLDLJ 2-} Mg: UR: ("J’le l :2 Nagy M ii :: u C0}k\ = \Hol » wlféﬁﬁ : 12’ + M55 E3 :3 wt'oJM-QO amok otheﬁ :rVLq {—WUI : O .LWU’VB “(JIM :0 1 W1 (3 :futxpﬁ “rim +w’cxm :1) w‘Lme 3 “VL’Q 1 L165“) 1.2-) WEE; my“, 9‘" . , “ﬂail: :2) way: bmﬁihbﬁ’mhg hzi .l lﬂq : 28 {\$354) Spiral-ﬁun 0:) Wm. m to 2 mm vim/Lth) “I: ‘Liﬂﬁﬂy\§ l l 2:) \3 f: S NL"‘WJ\4\ A“. m g ’\ t AWL3 O 0 2. Use 3(31’Jar21tic)n of\re31‘1'ial,)les {.0 solve the following initiai boundary \rahlc prohimrl For (it (:1'10clified) wave equation with zero derimti-UE: BCS i253 marks]: 1;,” ::-- um u 0 < :1; < 7:; I. > 0 1r,.-,;((},21) 22':- (} 1:: 11.”;(7r, L) 11.02;, 0) :r:-: 2 00593;), 71.1.(32JJ) 2:: cos(/irzr) ____ _ f} :1. I,» p Til Ki; , a §ov: mm:— Wth :2 XTﬁXTle “2%;i24 . T I 2’ I i; 3 1’ :2. z (on-3L4: 3 -——’>~ .1") 3 Acmscxah h_€)sir\(kw\ - X”: (wﬁlarstrxﬂ‘ﬂ v kgwﬂm xilm2-0=><’<er\ “03W,” 3 MW” ‘3? Bio (“"05 c, 0.: X’Crr} 2:: _’>\(3(;;5L’>~T) => {507’— W h:O,l,'l|3}.v T“) 33w. a! e: T «9‘31st f. j: -= “(guy = -* V“\ X (>3) :Q‘ong coglmg w—Lﬂ—J T d ____ . f/ \ Daisy?” ﬂT‘l: :2) : “Li/\Q '3' h . W V\ awm-irgP'DJr‘: ﬂ.‘ 5m \SOJx‘M o Qty.) : Z£§n\$ln 0E; DACGS(JHLM E)1€D§(nn\ 30.30 00 2:) UEGL} P\ 3' g W [{ﬁtogw 1631;; DAWN CE“) («n.3, man) 00 UL: 2 00:01pm: -;qt:---.~. - :3 o a 1C; 2 Z [.05 C256.) ‘3'“— : Dd 6&3 £nu.\ i cg (@5040 ‘3 UMV‘WW '5: “man 605%” "*9 ﬁgrmﬂcﬁﬁé V1345 ‘ CdaCﬁJl: (§:.C.S.:CC;-~:O Z (0-3 (2%} 151%; gfr‘ CogLLLm.) ...
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## This note was uploaded on 04/06/2012 for the course MATH 257 taught by Professor Peirce during the Fall '08 term at The University of British Columbia.

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Mid2sol2010 - Math 257/316 Midterm 2 Section 101/102 12 NOVCJ'I'DIJCI‘ 2010 Instructions The exam lasts 55 minutes Calculators are not allowed A

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