# Newtons Method - a b NEwrom's nemoo I out Discussmm...

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Unformatted text preview: . a; b NEwrom's nemoo I out? Discussmm 0F "newram's Demon ' mu. BE OUIJE 8!?IEF sch :7 IS THE IDEB BEHIND THE 0577100 RBWER 17mm 057311.50 bPPLIc/NZDNS 77707 INTEREST US HERE . M : sons EQunnoms mPE easy w sows EXPLIaTLy’ E. 5-,, 4x + '7 = 0 X'HH-Iv +1 = 0 x3 + axz— 3x = 0 3008 ME N127J 6.6. ’ X3- ax - .5' = o COSX—X =0 FOR THE SECOND TYPE ONE 0057 OFTEN BE COMTENT wm; APPIPOXIDBT E SOLUTIONS, Nﬁwrona DEVIs'ED n SIﬂPLE PROCEDURE wmcn aFrEN Pkapuces 9 sEduENcE 0F BEn'EIz am BETTER ﬁPPRoxmrarloms To sauna»: To EGUHTIDNS LIKE ch> = o, 55005131cmLy) wE wmr 1v ﬁfPRoxlrmrE TUE r same» BELOLO: 1 mm. nwsrmn's 1715 ms» For? m sounnom x3- 2x—5‘= o ﬂmo 7716» £105 ﬁn) ﬁLGomrHrI F0)? OBMINmG THE HPPIPoxmﬁnoms awn; m1. OF THE GEOUETRY PRUNED tawny . mus, we LET th) : x3—4x-5' 0ND BPPROXIDHTE SOLUUONS To Put) : 0. PROCEDU?E : l. " GUESS " 9 FIRST ﬁrmoxmnnwo x, 10 f. 3 _ EXﬁnPLE : FDR Fax) = x — 4x -5‘ we? Nance mar Fm) = -I m \$313) :16 30 m? m TERDEDIHTE anuE THEokEn says my 1716125 0057 BE :9 501017010 BETwEEN :1 am 3, was, we DIGHT 11935 ‘X:& THE PIC WIPE f-Lx. ) SUGGESTS TH!” WE THKE 05 OUR SECOND ﬁPPROXIﬂﬁTION X9. me x - meecspr or: rue mmcmr LINE ro we seem 0F y: Pu) 197 X, . I mucsm LINE : y- Pug) = Pm.) Lx-x, ) X-INTERcEPT : o - Pa.) = P11.) “Ci-X, ) X X Put, ) a - ' Wax.) LPRowosD Hm) at o ) EmnPtE : Fax) = x ‘JX-5' 3. WHEN 5159 ”.2, 807 ssc:~mma «any 2g1 news)? m~x . mus, m5 mm) arreaxmanow vs 16 x Fax.) 3 . ’- Fl‘xt) (PROVIDED Pixz) 4‘ o ) EmnPLE : ch) : x3- 4x -5‘ F'N) = 3x1-1 x, = :1 x1 =4.) x Mu Pu.“ x3 "’ z F,‘Xt) " 40’ - FI‘J.” ce.a)’-.m.n-\$ = 4,1 - -————-——-— = 312.1)2-2 '-' 4.0995 '-I. commune THE PRocESS ﬂLGomTIm: X. : tmeL 60555 X _ x Fm.) '1 . ' F’tx.) x3 = X;— 55.1 F’txt) Ptxn) EXﬂﬂPLE : cos x - x H 0 ch): COSX'X 'cx) .-. - 5w X -I ”076: Pw)= €050 -o =1>o 9n) =cosI-I 4-0 SO THERE IS 0 SOLUTMN BETLOEEM O BN0 1, TIME 'XI : O mm ﬁlm.) Flo) - I ’x" z x! - P'cx.) ' 0‘ F'uu ' “I co I -I X3 3 x — ilk-3t : ' a s L put, -swl-1 . I cos! —I ' sml H : 0. 750363949 (Firm 8 cmcomrot: ) mun comnmuE as Lam: as You PLEASE , I) wot?!) a? cauno» : THINGS c0» 60 sskmvsw wRoNG : 7' yzpcx) ...
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