Exam3_solutions - SSM 317d01 Engineering Mathematics...

Info iconThis preview shows pages 1–8. 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

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

View Full DocumentRight Arrow Icon
Background image of page 6
Background image of page 7

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

View Full DocumentRight Arrow Icon
Background image of page 8
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: SSM 317d01 Engineering Mathematics Wednesday, April#942003‘ One Hour Exam Open Book Examination Number 3 Answer all questions. Questions have equal weight. If you are taking the course for 2 units, answer questions 2 and 3 in 40 minutes. —’ _) 1. V: xi + 2yj + zk. Evaluate va1dA. where S is the 5 closed surface bounding the region R. R: z 5 S-xaqfi , 221. 2. Find the eigenvalues and eigenfunctions for the 2-point boundary—value problem: 2 d E+2£¥+ly=0. dx. dx BC'S y(0)=0, y(l)=0. ODE 4x (Hint: make the substitution x=t5 3. Solve for u(x,t) PDE 12—6292- 3? 3x2 BC. u(0,t)=0Ir u(L,t)=O IC _ u(x,0)=0 g—jfifi) = 8'06) ) 0,fi0$x£LMmfihM5x$L 9”“ ‘ 1, ifIJ4S xssm .1 Compute at least 3 nonzero terms in any series. I I; F surface; . on )O/th. 25/, - r\%p" “SI f: 5_*L_y1_ y (Bai'f'om‘lk #52..- > L L 9' F—x‘iv‘ 69133:. 2, 17!, 5—H!- 5 5 5 '1' 3% Jxé’), -———- f f j erc/z (3/94, bf::6::Ja'as J pa '4 r 0 d I '2, L4,,Jn'hq4‘cs 1, war fir" L '17 :z er'E/Z_l_ Clad!— “zjoj Lt’réS—rLL-‘h- c/é'rdr a (11:2:{10t—ZQJ: 1 r": iotb—‘ZVJ o J 1’— : rer“” I 0 -2q = LCZu)‘U{:ZM)*“C’) ,0 l '74/ ' ‘ LZMJZVIO Tia-5w» : 5b. ,7”) Hum 35 515’“! ’4‘ Zh‘u H'w‘+5'—w"-VL 5A 6’»? 5: CI 7'616 rqdfias :. L ;:— 55b [414—3yZ-+f dag/V Chang; ,LG, Pa/qf- 6.9m Hal}: :2, I (4:- recs 9‘ U: f5’""9 .. 'v 27» ' “_ jg (rt60319+3r15,‘n1'6’ 4- 5‘).-rd49 7'1 :50 fig 2’9 +é,cmw)+3rséié $5429) +95] Ur _ 93o 6QLfi 151%?) +0) dean”)- a) + paw) a, 'b “j; H73 + {01w c’r . “L : “W ‘3‘ {WW/a, 5 TCJGJ+FwéH=~ L Cowfi'HPIod So =‘D554-ndi4é: '_ __ 51V 55 (cm. :7 5517" 5 Cf". It. H.141.“ 3- Z a: 41¢:- 551/40: LIA-vb 5f '7’. 11 4/4 '5‘: '51: =- 0r — try-)4 41327;: y6¢35O L, Hwy” *Zy + A y 3 win—‘0 xv=0=> 19=0 1.!» 6=/ y(x=o).—.b => >453”): 0 YL/rr—IJéO => yét‘JJJO agape: Efiampk, [pg 239- \ Err" A:— 1/2’70 ya): 4wvt+39hVfi vac/3w => 4:0 'Vfil):c’ "0 85r‘hV:0 => 1/; “20‘ “7., u. Z. Canf'lr’l‘ic/d /l/°'"l° bio 1'5 0/4 SUN: :‘4- sacs yoCK):0 whxoé 0055 “mug, $46 Boundary Cop-l Jl-flbfisv q" rile; Dl‘C-Porenfr‘q/ 3, “ti: ‘= 62' axx Mime):— =qgale) “(Aw-=0 _ 0 3': ai- Uééxtoj" ? Ki?” I “GE-x3 3.!— O 311 {r tr—fi .eL A4179; [5 fL'e/ Wat/c, gQ’qqgv‘r'aH bar'le 1(1"4’=.-d cné pef‘h +9. 0 ,‘hff-fo,’ dfipkcemahft I. “1439! V2: IOGFJ-y', Bast; 5:? 50 $1?) ‘3' C2"? '2. $7? h (“TL r/lh(h:—?D Jr 2." 3% ._ L. 5 5.3,. (a) (ago/-1; =F JZL 3E Cfiz[605 W1z;(;:‘))—~C 3 #6. J : fizL 6(w2"[‘°5('3%”)* C 5 (97] at “2.1- > ’3’ " Jim? “Casi-9W: 1:35 E] -— 3'3 ...
View Full Document

Page1 / 8

Exam3_solutions - SSM 317d01 Engineering Mathematics...

This preview shows document pages 1 - 8. Sign up to view the full document.

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