Exam3_solutions

# Exam3_solutions - SSM 317d01 Engineering Mathematics...

This preview shows pages 1–8. Sign up to view the full content.

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

View Full Document

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

View Full Document

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

View Full Document

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

View Full Document
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

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern