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summer 2008

# summer 2008 - 'I"h1uu‘1=:d£euj.F Jul lﬂth EDGE...

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Unformatted text preview: 'I"h1uu‘1=.:d£euj.F Jul}? lﬂth. EDGE Page U6 MATH 32A: FIRST MIDTERM EXAMINATION SUhiMER 2008 — Dr, Frederick Park LAST NAME: _ - .31; ink 1; Hui-ﬁx 5 FIRST NAMIFJ:_ 'h' _ _ ____ 11) NUMBER: _ __ Disnussinu Section: For each pr¢.ﬁ_:~lmn ulnarly BOX} ymu' ﬁnal mmwer. WriLe nut. yum- wwrlc {-rxpliuitly. partial creaﬁfwﬂl Gnly be awarded for clean logical work. Problem ' Points Pﬂﬁﬁiblﬂ Fnir_1L5_Ea1-ued Tllurﬁday J 1.13},F 10th, ZEUS Page Llﬂi 1. (21] point-5] Find a mental valued funcbiun that repﬁesvents the curve of inter- sect-inn H] Um elliptical cylinder {HI-1'2)": + [yg’illll‘a '" 1 and Hit:- plant! 3+ 3 = 'r' Graph thn nurvn nnri Inhnl thn minntntinn mrrcﬁpnndlng tn "me ph.r'FJ.-Inn’r.l'iv.-n.— tinn. . E 3 *4. :. 1 \l d '1 _ U’f ‘1 = 1‘ 7f Il‘hursday July 10th. 200.8 _ Page HIE 2!. [2D points] Let HP]: 11+}; — z — i and PE. 31; l Hy 4. 612,-: :3 be 2 planes in R3. {a} Shma' that the 131411125 are neiLller parallﬂl Iu'n' perlmnrlleular. Eh] Find the equation of the line where Hue planes intersect. {Hint m ﬁnd H. point 011 the line :1! intersentinn. snl two of {3. y, 3} equal m 2.611).} (Tm: may use the heck of this sheet if adrlit imml space is. needed.) vigil: \li'l'rnLlyfl EXP-'1'“- 8. Niall if) [xvi-4"“ l 1k“! :13 - Thursday July lﬂth, EDGE Page 4- f 5' LL [2er ﬁoims} The Helix r1 ; {1:05 I, ail-mt) intersects the cum: 1*: = {I + L 1”. {'4} Find the. 1.1mm Hi illlt‘fﬁt’ﬂl-iﬂll and the Hugh: 13f interuectiun of these cun'm. UV [1) ,'F t ‘13-—4 E) : 4-5333“? €.L.u} wage-Imurpw ___'1‘/ A; Thursday Juiy lﬂth, 23133 Page Efﬁ .4. {2-D paints] Two ihtemnntinanla} missiles are er'ﬁling ihmugh tha air attempt- ing lfJ hit a Lhrgtﬂ IUUU male-5 away. Then‘ paths anraw 2 nurWH in FL”. W-tlm mu was inmrsnnt ant] Lhn miﬁsilns are in the same pusitlu'n at the same timeE they will unfertunately militia and the targﬁt cannot be hit... Lat. 1.1m tmjnntnrins nf missile I and missikc 2 be given by the mtor 1mi— ucd functions rift} =< L E E3 :r- and rzl's] m: l + 23, 1 + 63. 1 + 1-144 L:- I'HHpm-iivrsly. Shnw all work in the fnlinwing '2. ﬁliﬂﬁtiﬁﬁﬁ! {a} 'Will “H: Illiese'iihﬁ mallic’te? {1:} DH LhH'II 1mm}: intermutt? ll ._ ﬁkhlk—j :ﬁkj) c1] ¢-.-llia.'é" 5.5+: F3, L-r was “a m UT 2 L13 '==. [1‘ _ ti: “M U7 LWILan-“U t1" 3+HS_ Ch lkis+~i5ie1#E=‘—5*‘9‘H‘ZE:D '—"'} :__. d-v 5' ‘1": _.._'9 2.4%??le =7" __? b L :51'1 Ih' "F J; L 1"- f-“H \“LE'E ﬁ: VT.— bah;- (‘ost i '- 5; :: J tik L 3*“ gJﬁVi-uv— “22*“ <5 t: ﬂ_;~, \r— C} r H H L; ~——-—'j‘ (1'1"- ‘(\5 3:.1-3-1' F036 2 5’ ‘sz foé' 3”” 1’1 iii», 1:14— I Thursday -J uly 10th, 2008 Page EVE 5 {29 IJUilll-S] Di; abs indicated {it} Find the equation of the line through thn pmm. I: :3. 21-4} that 15' pBFpBII- diml'ztr Lo the plum: given by the equations 2: — y-+ 5: = IE FP—F—F—r r h: 'I' 1-? \V‘ii it I J”: (I: 1 11": > : ‘10"th J Ft M 1...“: L-hlr‘r‘} XIV?" :: "1 I Eg‘i ,__—— as“: ”L ‘1‘. 3 {11} Find the nurvature 5LT] nf the functinn y f a: at the puiﬁt [0,1}. What happens to the cuwature xix} as x —- cc ; {i 7:- 13-\} : ____,\ : 1/ KW} ‘vi L 1,31 3/; mm 1 (WW 3 I»: 1, "Ht ‘5 ._ 0 ¥ E“) A“ R 'J \E L M m Fir—.3. LA ...
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summer 2008 - 'I"h1uu‘1=:d£euj.F Jul lﬂth EDGE...

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