obj. 25 nonlinear systems of equations (presentation)

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  • 8/2/2019 Obj. 25 Nonlinear Systems of Equations (Presentation)

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    Joa& ?8 Fjfbmfher ^}~{hg~

    Xfm{ 4 ^}~{hg~ jd Huxe{mjf~ efk Mfhuxebm{mh~

  • 8/2/2019 Obj. 25 Nonlinear Systems of Equations (Presentation)

    2/17

    Njfnhy{~ efk Joahn{mth~

    Fjfbmfher ^}~{hg~ jd Huxe{mjf~ ,Joa& .?8-

    ^jbth fjfbmfher ~}~{hg~ o} Hbmgmfe{mjf

    ^xo~{m{x{mjf

    @reylmf`

  • 8/2/2019 Obj. 25 Nonlinear Systems of Equations (Presentation)

    3/17

    Fjfbmfher ^}~{hg~

    E fjfbmfher~}~{hg m~ jfh mf plmnl e{ bhe~{ jfh huxe{mjf

    m~ fj{ bmfher& ]jx nef ~jbth e fjfbmfher ~}~{hg o}

    Hbmgmfe{mjf {ref~djrg jfh jr oj{l huxe{mjf~ ~j {le{

    }jx nef hbmgmfe{h jfh jd {lh termeobh~ o} njgomfmf`

    {lh huxe{mjf~ {j`h{lhr

    ^xo~{m{x{mjf ~jbth jfh huxe{mjf djr jfh termeobh

    efk ~xo~{m{x{h m{ mf{j {lh j{lhr huxe{mjf,~-

    @reylmf` ,~jgh{mgh~-

  • 8/2/2019 Obj. 25 Nonlinear Systems of Equations (Presentation)

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    ^jbtmf` o} Hbmgmfe{mjf

    H|egybh1 ^jbth {lh ~}~{hg efk prm{h }jxr ~jbx{mjf e~ e

    ~h{ jd jrkhrhk yemr~&

    Ohnex~h {lh njhddmnmhf{~ jd|erh {lh ~egh" {lm~ m~ e `jjk

    nefkmke{h djr hbmgmfe{mjf& [j ~jbth" gxb{myb} {lh ~hnjfk

    huxe{mjf o} 5 efk njgomfh {lh {pj huxe{mjf~&

    # 7

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    ? 8 ="; " >" ;

  • 8/2/2019 Obj. 25 Nonlinear Systems of Equations (Presentation)

    7/17

    ^jbtmf` o} Hbmgmfe{mjf

    [lh `reyl jd {lh ~}~{hg ~ljp~ pl} {lhrh erh djxr

    ~jbx{mjf~1

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    # 7? ?

    ? 8 =

  • 8/2/2019 Obj. 25 Nonlinear Systems of Equations (Presentation)

    8/17

    ^jbtmf` o} ^xo~{m{x{mjf

    H|egybh1 ^jbth o} ~xo~{m{x{mjf efk prm{h {lh ~jbx{mjf e~

    e ~h{ jd jrkhrhk yemr~&

    ^jbth {lh ~hnjfk huxe{mjf djr}efk ~xo~{m{x{h mf{j {lh

    dmr~{ huxe{mjf1

    # 7

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    7 8} | , -# 7??

    8 ?8| |

  • 8/2/2019 Obj. 25 Nonlinear Systems of Equations (Presentation)

    9/17

    ^jbtmf` o} ^xo~{m{x{mjf

    H|egybh1 ^jbth o} ~xo~{m{x{mjf efk prm{h {lh ~jbx{mjf e~

    e ~h{ jd jrkhrhk yemr~&

    Ybx` henl tebxh jd|oenc mf efk ~jbth djr}&

    , -# 7??

    8 ?8| |

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    59 ?8 ?8 | | |

    7?

    ? 59 9| |

    , - 7? 8 9| |7 9"8|

  • 8/2/2019 Obj. 25 Nonlinear Systems of Equations (Presentation)

    10/17

    ^jbtmf` o} ^xo~{m{x{mjf

    H|egybh1 ^jbth o} ~xo~{m{x{mjf efk prm{h {lh ~jbx{mjf e~

    e ~h{ jd jrkhrhk yemr~&

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    , - , -s 9" 8 " 8"98

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    ,8"9-

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    # 7? ?

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    7 8} |

  • 8/2/2019 Obj. 25 Nonlinear Systems of Equations (Presentation)

    11/17

    Eo~jbx{h Tebxh Huxe{mjf~

    ^jbth

    , -

    # 7

    # # 7? ?

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    , -, -# 7? 4 5 9| |7 4"5|

    ]jx nef hbmgmfe{h {lh

    eo~jbx{h tebxh o} ~uxermf`oj{l ~mkh~&

  • 8/2/2019 Obj. 25 Nonlinear Systems of Equations (Presentation)

    12/17

    Eo~jbx{h Tebxh Huxe{mjf~

    ^jbth

    , -

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    # # 7? ?

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    fj{ yj~~mobh

    7 ;}, - , -s 4"; " 4" ;

  • 8/2/2019 Obj. 25 Nonlinear Systems of Equations (Presentation)

    13/17

    Eo~jbx{h Tebxh Huxe{mjf~

    [lh `reyl jd {lm~ ~}~{hg

    ~ljp~ {lh ~jbx{mjf~1

    8

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    '< '4 '; '? ?

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  • 8/2/2019 Obj. 25 Nonlinear Systems of Equations (Presentation)

    14/17

    ^jbtmf` o} @reylmf` Eb{ljx`l M leth ~ljpf }jx {lh ~jbx{mjf~ jd {lh~h

    ~}~{hg~ e~ `reyl~" M pjxbk fj{ rhnjgghfk {r}mf` {j~jbth o} `reylmf` xfbh~~ }jxr}{hrg m~ bmfher&

    [j ~jbth e ~}~{hg o} `reylmf`" yx{ henl huxe{mjf mf{j

    }7 djrg" yx{ mf{j }jxr nebnxbe{jr" efk dmfk {lh

    mf{hrnhy{~&

  • 8/2/2019 Obj. 25 Nonlinear Systems of Equations (Presentation)

    15/17

    ^jbtmf` o} @reylmf` H|egybh1 ^jbth {lh ~}~{hg o} `reylmf`&

    7

    # 7

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    , - , -s ?"; " 5"5 X~h*'@ {jennh~~ hf{r} bmfh

  • 8/2/2019 Obj. 25 Nonlinear Systems of Equations (Presentation)

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    ^jbtmf` o} @reylmf` H|egybh1 ^jbth&

    7 #

    7

    ? ;

    ? 8" ;9" 89

    Nbe~~pjrc1Eb`hore $ [rm`jfjgh{r},`rhhf ojjc- Ye`h 89>1 ;" 8" 0" = ,yer{ e jfb}-