46_20111101tue_calc3_94160_f11

46_20111101tue_calc3_94160_f11 - Nd'e '3, In 5(4.8: Lagrange

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Unformatted text preview: Nd'e '3, In 5(4.8: Lagrange Mulé.’f,l.‘er5; we win mf- ¢°V€T ' . . ‘ Lagrange MuH'iphers 00% 'Two Condrafnfs GP. 1029-39 1311.! 5!“ :§l4.95 Parh’a( Denvah'ves w‘cfla Consfrat‘neal Va rmbles. (fa. 1033)- 694‘3; @440 : Taytor’s firmub for TWO Vanébles. (p.1033), Be in Ch. (5:MM+.'1¢Infe ra(s .1051).M 615.1 : Double. In+e3ra{s. 09.1051), _ We assume 9‘8? {he area of? a mcbnglc. :3 fine, produc'l‘ of 5+; length and its width, tin unifsz. A = Lw cum?) {2] We deseribc a recbngk R in fine Zy—Pme. w/ sides paraflel fa we axes by [2: (Li-15b) céygd, More 4::ckm‘c7ll‘j : [2:{0’9'131 45x55 and cégéd? Gr R: Eavblx 12¢de where“><”c(es.;am+cs the Carkslhm produd'. Engineefs Compu‘iafion Pad m c: L0 L0 (:5 Z defined an a» ' rec m5 6. Z=Fém> W/ (703) E l?. [a We 9K3“ defl wifk these, fypeg a? fund—Eons 53:}15i'. Suppose a: {3093) 4's ales:ch “over” a. mchnglt R: ta,b1xcc,d:z, M. Rama) ‘ 17’ {:WHmr simplif‘tj our inih‘al invesfi'gahbn) assume. $090) > o N‘ (299) 6 F2. @ cont»? ['V'B'Ql Par'hHon of Ff“ er’i‘h‘ow‘ For 63C“ £=’JZ)UIJ I5 Then (5 an asso ciawted area. Ag. £3()2_,u-Jl5 Ai '7 AZJ Ayn For examPle A4: 414 133, when A14 =I4’Xg and fly, = \ Engineefis Compuiafiien Pm? Lo 6:) m m 0' 2 Uniform Pan‘ifion 15 easier it deal mi“: and " 3+ works!” ‘4 at Here [41"] )3 P3T+f+lbn€d "4:4 eiuzl sub—Mkwals and [qd] :‘s paréix‘ioned Mo n=5 eiua! Sub — uh+ervak , C a b x Thus a“ AL/s are eclual. E] \W In each Subfreglbn ptik a. pond (I coma be rm)de , In Rx can Hm: pond» (XWyK) New evaluate, the‘fvhch‘bh )3 CUL filalv pond". Z“: 53(DCK)\JK) Tint Produd' 0F 316 “three numbers 2“) Ax) and A3 gtves a Vom e: A VK = fawn) Amy m. Av,‘ = 520% yd AL [ls—e. V14 '5 Panda Approxim'ah Ho: Volume: r "m \/ a: Z! HMS/«MA V x: Elm/K I4: =' @ Given £009) :: zxi—aH R: 1:1,ij [2,8] w/m:4 has? and using Lower Lu“ 06W“ 9" (1min). Saw“ Draw R W/ 80. 50=Pa¢r+t+l5l5 Enmneefs Campufiafion Pad Lb CD If) |D LCD Z AV: l 2 2 '10 2 ‘7. 7 2 I4- 3 2 9 2 I8 . a: 2 H z_ 22‘ ‘ ¥ 2 [4‘ z, 4 9 2 ’9' 3 4 U 2 22' ' 4 4 (3 Z? 2‘ I é 9 2 ’9 z. 6 H 2. 21' 3 é (3 Z 33: Z 4 <8 :5 ‘ M3240 IV” 246 “ML; - xv W'mMmT/v L53 WM (9 we meme Jane (ax/m VALUE 0,6 ‘Uat exmte 3mm #94 so C(yJOVQ; R E 5 g 1:5 3:3 1 g = f f g x=l y=z 3 (:3 ‘1) » 1:5 : (/2z+36)cfx x:[ = {6762+36xLz‘ :- Ggo+180)~ 42 5/288 unik3 WW W ____._.._._—w E gm“ C1895 If) in our example) we had um! Upper ("(3‘th corners: @ x \J 561,9): Zx+t5+l AA=2 ‘ j 2 ‘t 9 2 ‘ng‘: (68x2=536 WM} 3 4 H 2 2 I: 4. 4 13 z 5 4 «5 2 ’2- C‘ (I 2 3 G 13 2 4 Q (5 2 5 Q l?- 2 2 95‘ 13 2 3 B 15 2 4 9 I? 2 5 8 t9 2 @ AVefage Our 285+Ma+€31 245:1:‘65é .5 238 MW} and we ol’ Maia; ,/ We (M Hm EXACT ANSWEJE. cxaEm‘D‘>5 ...
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This note was uploaded on 12/30/2011 for the course MAC 2313 taught by Professor Jones during the Fall '11 term at Tallahassee Community College.

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46_20111101tue_calc3_94160_f11 - Nd'e '3, In 5(4.8: Lagrange

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