Sol-166E1-S2010 - MA 166 Exam 1 Spring 2010 Page 1/4 NAME...

Info iconThis preview shows pages 1–4. 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
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: MA 166 Exam 1 Spring 2010 Page 1/4 NAME GRR‘DENQ ‘ Page 1 /14 10~DIGIT PUID Page 2 /32 RECITATION INSTRUCTOR Page 3 /24 Page 4 / 30 RECITATION TIME TOTAL /100 DIRECTIONS 1. Write your name, 10~digit PUID, recitation instructor’s name and recitation time in the space provided above. Also write your name at the top of pages 2, 3, and 4. 2. The test has four (4) pages, including this one. 3. Write your answers in the boxes provided. 4. You must show sufiicient work to justify all answers unless otherwise stated in the problem. Correct answers with inconsistent work may not be given credit. 5. Credit for each problem is given in parentheses in the left hand margin. 6. N 0 books, notes, calculators, or any electronic devices may be used on this test. (10) 1. Find the center and radius of the sphere with equation: 2$2+2y2+222 =8w-24z+1 Rafi-ix Mag?“ %2(224+12¢;2% 25:1 2 0‘92”ng +4“) tgfigfi fizfiamawe) : 1+8 +72, 2; ("W223i :3, graham (g+6)1::‘ 81 W , ' “ ”‘ center 0 a, (Mf' + 93% (2+an <2) , a) Q radius (4) 2. Hi: <5,—12> and 5 = (—3, —6), find the following: 0‘“? f: <5’w'33 mamas)»: <2,m:zs> 4' t gm steam/w : «arm? 7 "-w ’ r 7 Wm, I a 2 :7: 1:”: j 3 5+ 5: 9 M13}, 15?“ bl if! 6%, mm in W MA 166 Exam 1 Spring 2010 Name Page 2/4 (8) 3. Find all values of t for which the angle between the vectors 5i : tg+ + I? and b=$+tj+kis§ , i “Er” , «a 0: ~ 23‘ Irntlme new Wilt *2“ Cng '2 m1 tr: (5%?) é) 4m; i: tiara; t a Q, «4 L5} (8) 4. Let 5: (1,2,1) and (3’: (3,—4,2>. (i) Find all unit vectors 1? that are perpendicular to both ("i and a»; a“? We M. w, . ET» Wm , am: ” l fjfifélrsrmwié; @L 1 :24 ' '” ' ( j, M 7r '1” up 3 we f (er M " “m? h ,5 MW‘Mrme-w’n' “"1 V” W ‘3? —' 4 3%? “if?” bl rt i”l’jlm RM) u : 11 a; We ' a) , P 4 7 m W:_,;,,, ’ I i [I 3: 3(13 1/) Wrwwrg I W re a; mm, from? m (a l Algal 31’ l I -v- V“ K /” P N “3‘” WWW rim/mg MEL Sfmfiflffll C ajmwréf‘r (ii) The area A of the parallelogram determined by EL’ and l; is (8) 5. Let 5: (6,3,1), 3': (0,1,2), 5': <4,—2,5). I,» m a 3 1 (i) The scalar triple product 67 ' (b x C) is (ill: wade) x (“,2 ’7: G 1 / m a? _, W" 4 .22, :9 (Z) W “:3 .Cf,3<w'2‘; +69%)“: a.» w. \ _ K Ref)» Mr.) ,W} bxc’itt 2» real eemteflézt A. 4r 4 : “74' Ext (fishy/:54" (ii) True or False: The vectors (1’, 5, 5' are coplanar. (circle one) CF) (8) 6. Set up, but do not evaluate, an integral for the area A of the region bounded by the curvesy=lnm,:r=y2—2, y=—1,y:1. A $613 a? 01%;) Proxiwmfilh went} t (g, E N L71 mom, Uanm 1 lizard LE7 Viva/59a Li'me rpm/ml? ’- 0w “1 3?} C9 / MA 166 Exam 1 Spring 2010 Name Page 3/4 (8) 7. Let R be the region bounded by the curves y 2 $2 and y = ——2:1:. Use the method of washers to set up an integral for the volume V of the solid obtained by rotating R about the x—axis. Do not evaluate the integral. 2 a“? x M (f 3m,» 3w) :féi} y; a2) 0 (Q 4) ‘3 \Qm'nfo 0!“ ivi‘fe‘riraaiiflow ’\ 5‘ “” ‘ ’ "’ / Volum‘ 0‘ QHNo'y/iwizlfrvvfi nglulfl": A V: [irezxf’mu mm] m < (33‘) V = 774K 31»: TY X o at ‘ ‘ ,2: m {Fig} (8) 8. Let R be the region bounded by the curves y = 2:4 and y : x. Use the method of cylindrical shells to set up an integral for the volume V of the solid obtained by rotating R about the line y : —4. Do not evaluate the integral. [/X:%' ’Lw " ’,; / 1/51-,“ krill & 1 , y , y “a 7 I Volumr 53’; t3 F (clung. w Maj {mg C li'wifl'ffilf ie ’27. f L_._ W ,7 , ,i . yr "4.. W 5 AV 1: WW WW] [25’4"— «3143 l l . i <13. GD (‘éiégm‘4' / r 1/ \\ [W Mm. 2W(‘~&+4)(‘4 41—3 ab; ["33 (8) 9. A force of 10 lb is required to hold a spring stretched 4 in. beyond its natural length. How much work is done in stretching it from its natural length to 6 in. beyond its natural length? Sgkx F:’},Olb ><:%{f 102:: weéarri'gfl .9 3‘“ 1/ .,.. Z 2 % W, If“: \ \Novk: ijfitibmixez 13%} $15.? ftnlbg O O '9‘ ‘ “q " "$1 m in: Na “3 i [Z I V? Livy) mixer: rmi arm a/ ~ M w 4 r n ,, v r WW a, w Wed U1 S h ‘3 CLO V} S- 4‘ ngflw (423 (11) (8) (11) MA 166 Exam 1 Name Page 4/4 Spring 2010 10. An aquarium 5 ft long, 4 ft wide and 2 ft deep is full of water. Find the work needed to pump half of the water out of the aquarium. (Use the fact that water weighs 62.5 D 1,. marolfimflfl ) aimim Hr 5 f9 45% m Law W: / Mazes? an aim o \T/ (g) @ 911’”er 2, ‘9 W: 32% 3:313 2 5”“ ft—lbs ) W f gays 2. @2gwbj fig) ’ y W W3; L", jifxeymk is, 2 __‘:f/£" 13(4—‘2 .., 2.,L my!” Limb: :11 M 2,. 2, am: 2 0 A; (:3 )1 5E: 2,3}:2'3343 A») 3) Wow M n éwa Tgpr‘cmfl Wang/m. Mam -, W m, (:31) ® \ N. 11. /sin_1a:da: : I W1 (3 of will l: «3 ~ «1 , ten; as ’Ll‘fid.§{ "Vii-1x @ x l'TiW ’13}? Him 12. First make a substitution 3: 2? and then use integration by parts to evaluate the integral / 93 008(62)d9. Your answer in the box must be in terms of 0. 3 a m ‘1 My ( A“ r ‘ w 36 (2931:9249 w 2;, S XQQMOW :égxsinw +msa¢j+ C .3 x ) f2»: mm x Si‘fik’ .1 Jim-W, {if}, W47; . p «MW? + Cesar X 005K (4’21: 7’ W L I, q) S" SENT}? WW‘MHT,»M1WM hilt}? glided“? {a T: 42: @ @JWWQ ‘5“ WE“; (71$ “1"” ’ 2W (D missl'w% in (55% 0‘s" b63331 (girl. \ngbs ...
View Full Document

This note was uploaded on 09/14/2011 for the course MATH 166 taught by Professor Staff during the Spring '10 term at Purdue University-West Lafayette.

Page1 / 4

Sol-166E1-S2010 - MA 166 Exam 1 Spring 2010 Page 1/4 NAME...

This preview shows document pages 1 - 4. Sign up to view the full document.

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