Intervalos Simples

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  • 7/23/2019 Intervalos Simples

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    Loxgtukf`y

    Hgelol` ! Hlyxoilk goxtg hwky o`xky {wg tg}tgygoxka y`oy hg kfxwtky hlegtgoxgy/

    @y loxgtukf`y }`hga ygt>

    Kyigohgoxgy ! K{wgfgy ga {wg k }tlagltk o`xk k akly ctkug/

    Hgyigohgoxgy ! K{wgfgy ga {wg k }tlagltk o`xk k akly kfxk `w kcwhk/

    Agfhli`y ! [wkoh` ky hwky o`xky {wg ` e`taka y` x`ikhky ywigyylukagoxg "Gyikfky,/Gyxgy loi`t}`tka `y

    loxgtukf`y Kyigohgoxgy g `y Hgyigohgoxgy/

    Bktaoli`y ! [wkoh` ky hwky o`xky {wg ` e`taka y` wulhky ylawfxkogkagoxg " Ki`thgy ,/Gyxgy loxgtukf`yi`oxka!yg yga}tg k }ktxlt hk o`xk akly ctkug/

    Grlyxga hwky ekalflky hg loxgtukf`y>

    Loxgtukf`y Yla}fgy w Hlkxoli`y Y` `y loxgtukf`y {wg yg e`taka k}ktxlt hk gyikfk hlkxolik g o`

    wfxtk}kyyka k ywk }tlagltk `lxkuk nwyxk "ky }tlagltky 2 o`xky `w ctkwy hk gyikfk hlkxolik,/

    Loxgtukf`y I`a}`yx`y ! Y` y loxgtukf`y {wg u` }ktk kfa hk }tlagltk `lxkuk nwyxk hk gyifk hlkxolik/

    Gyikfk hlkxolik

    Gr ga H I

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    Loxgtukf`y Hlkxoli`y Yla}fgy

    Hgo`alok` h` Loxgtukf` Ylcolelik ` oagt` hg ctkwy {wg ` loxgtukf` goigttk/

    Gr/

    I "H, k G "Al, y` 9 ctkwy " I H G, gox` hgo`alok!yg& Loxgtukf` hg Xgtigltk/

    Grlyxga 3 Hgo`alokgy>

    [wkflelik` h` Loxgtukf` Owagt` hg x`oy g agl`!x`oy {wg ` Loxgtukf` i`oxa/

    Gr>

    I "H, k G "Al,

    I k H 1 ; x`a g H k G 1 ; x`a

    Gox`> ; x`a * ; x`a 1 4 x`oy ` {wg ylcolelik Akl`t/

    Gox` nwoxkoh` ky 4 loe`takgy/ Xga`y wa Loxgtukf` hg Xgtigltk Akl`t "9A,/

    @j/ @ {wg X`a g Agl`!X`a0 g }`t{wg Akl`t0

    K gyikfk hlkxolik {wg ltga`y kd`thkt akly khlkoxg xga ky ygcwloxgy O`xky g Ctkwy/

    Xolik Xolik

    Ctkw ; 4 9 8 7 5 3 2

    Gyikfk H T/ Al/ E/ Y`f F/ Yl/ H

    4 Loxgtukf`y hg Ygcwohk 4 Ctkwy

    9 Loxgtukf`y hg Xgtigltk 9 Ctkwy

    8 Loxgtukf`y hg [wktxk 8 Ctkwy

    7 Loxgtukf`y hg [wloxk 7 Ctkwy

    5 Loxgtukf`y hg Ygrxk 5 Ctkwy

    3 Loxgtukf`y hg Yxlak 3 Ctkwy

    2 Loxgtukf`y hg @lxkuk 2 Ctkwy

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    Kyyla x`oy g agl` x`oy y` ` loxgtukf`y {wg yg}ktka ky o`xky>

    Gr>

    AX! Agl` x`a w YX! Ygal x`a w ! Agl` x`a> 4 xtkyxgy ygcwlh`y "; g 4 xtkyxg, "D!I: G!E&///gxi,

    X`a> 9 xtkyxgy ygcwlh`y aky o` yg x`ik o` 4 xtkyxg& lyx` : "; g 9 xtkyxg, "I!H& H!G,/

    ]`t `wxtky }kfkutky wa loxgtukf` hg 4/

    H`ly ygalx`oy 1 Wa x`a

    [wkox` k` }t`dfgak h` Akl`t 0

    Tg}ktga {wg o` dtk` hk cwlxkttk> hg Yl k H` `w hg Al k Ek ` loxgtukf` hg ygcwohk akly }g{wgo` "y` 4

    xtkyx`y ygcwlh`y, &{wg hg T k Al& `w H` k T& `w Ek k Y`f& `w Y`f k Fk& `w Fk k Yl& {wg xga wa xtkyx` o`

    agl`/"Gyyg xtkyx` o` agl` xga `wxt` o`ag {wg ltga`y ekfkt akly khlkoxg ga kfxgtkgy kilhgoxkly,/

    Gox` Yl k H g Al k Ek wa loxgtukf` hg Ygcwohk Ago`t"Agl`!x`a, g T k Al& `w H` k T& `w Ek k Y`f& `w

    Y`f k Fk& `w Fk k Yl wa loxgtukf` hg Ygcwohk Akl`t"; X`a,/

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    [wkox` [wkflelik` h`y Loxgtukf`y& uka`y i`oylhgtkt 7 xl}`y "grlyxga akly,/

    [wkflelik` Hgo`alok`

    Akl`tgy Ygcwohk&Xgtigltk&Ygrxk&Yxlak

    Ago`tgy Ygcwohk&Xgtigltk&Ygrxk&Yxlak

    Nwyx`y [wktxk&[wloxk&@lxkuk

    Kwagoxkh`y [wktxk

    Hlalowx`y [wloxk

    O`xk>

    K `lxkuk yga}tg Nwyxk/

    K hgo`alok` Nwyxk xkadga }`hg ygt hgylcokhk ]gteglxk/

    Uka`y gox` ekfkt hgxkfbkhkagoxg y`dtg gyxkyHgo`alokgy g [wkflelikgy/

    Akl`tgy

    Ylad`f` Hgyitl` X`oy g Agl` X`oy

    LLA `w 4A Ygcwohk Akl`t ; x`a

    LLLA `w 9A Xgtigltk Akl`t 4 x`oy

    ULA `w 5A [wktxk Akl`t 8 x`oy * ; agl`! x`a

    ULLA `w 3A [wloxk Akl`t 7 x`oy * ; agl`! x`a

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    Uka`y f gyifktgigt lyx`>

    @y hg 4A>

    H k T 1 ; X`a "ugt grga}f` koxgtl`t {wg X`a g Agl`!X`a0 g } t{wg Akl`t0,

    ;x

    @y hg 9A>

    H k Al 1 4 X`oy

    ;x

    ]`t{wg >

    H k T 1 ; X`a Tg k Al 1 ; X`a

    4 X`oy

    @y hg 5A>

    H k F 1 8 x`oy * ; agl`!x`a

    ]`t{wg >

    H k T 1 ; X`a Tg k Al 1 ; X`a Al k E 1 x`a "Agl !X`a, E k Y f 1 ; X`a Y f k F 1 ; X`a

    8x *; x

    @y hg 3A>

    H k Yl 1 7 x`oy * ; agl`! x`a

    ]`t{wg >

    H k T 1 ;x Tg k Al 1 ;x Al k E 1 x E k Y`f 1 ;x Y`f k F 1 ;x F k Yl 1 ;x/

    7x/ *; x/

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    Ago`tgy

    Ylad`f` Hgyitl` X`oy g Agl` X`oy

    LLa `w 4a Ygcwohk Ago`t x`a

    LLLa `w 9a Xgtigltk Ago`t ; x`a * x`a

    ULa `w 5a Ygrxk Ago`t 9 x`oy * 4 x`a

    ULLa `w 3a Yxlak Akl`t 8 x`oy * 4 x`a

    Ek~gt ` agya` xl}` hg gyxwh` {wg el~ koxgtl`tagoxg g hgelog!yg `y hkh`y hgyxk xkdgfk hg Loxgtukf`y Ago`tgy/

    Nwyx`y

    Ylad`f` Hgyitl` X`oy g Agl` X`oy

    LU `w 8 [wktxk Nwyxk 4 x`oy * ; x`a

    U `w 7 [wloxk Nwyxk 9 x`oy * ; x`a

    ULLL `w 2 @lxkuk Nwyxk 7 x`oy * 4 x`a

    Ek~gt ` agya` xl}` hg gyxwh` {wg el~ koxgtl`tagoxg g hgelog!yg `y hkh`y hgyxk xkdgfk h`y Loxgtukf`y Nwyx`y/

    Kwagoxkh`y "Xtlx`o`,

    Ylad`f` Hgyitl` X`oy g Agl` X`oy

    LUkwc `w 8* [wktxk Kwagoxkhk 9 x`oy

    Ek~gt ` agya` xl}` hg gyxwh` {wg el~ koxgtl`tagoxg g hgelog!yg `y hkh`y hgyxk xkdgfk h`y Loxgtukf`y

    Kwagoxkh`y/

    Hlalowx`y

    Ylad`f` Hgyitl` X`oy g Agl` X`oy

    Uhla `w 7! [wloxk Hlalowxk 4 x`oy * 4 x`a

    Ek~gt ` agya` xl}` hg gyxwh` {wg el~ koxgtl`tagoxg g hgelog!yg `y hkh`y hgyxk xkdgfk h`y Loxgtukf`y Hlalowx`y/

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    Tgywaloh`>

    Gyikfk hlkxolik

    Gr ga H I

    Ok gyikfk Hlkxolik grlyxga `y ygcwloxgy loxgtukf`y Hlkxoli`y/

    Hgyitl` Loxgtukf`y Ctkwy

    4 Ygcwohky Ago`tgy 4a G g E D g I LLL g ULL

    7 Ygcwohky Akl`tgy 4A I g H H g G E g C C g K K g D L LL LU U UL

    8 Xgtigltky Ago`tgy 9a H k E G k C K k I D k H LL LLL UL ULL

    9 Xgtigltky Akl`tgy 9A I k G E k K C k D L LU U

    5 [wktxky Nwyxky 8n I k E H k C G k K C k I K k H D k G L LL LLL U UL ULL

    ; [wktxk Kwagoxkhk 8* E k D LU

    ; [wloxk Hlalowxk 7! D k E ULL

    5 [wloxky Nwyxky 7n I k C H k K G k D E k I C k H K k G L LL LLL LU U UL

    9 Ygrxky Ago`tgy 5a G k I K k E D k C LLL UL ULL

    8 Ygrxky Akl`tgy 5A I k K H k D E k H C k G L LL LU U

    7 Yxlaky Ago`tgy 3a H k I G k H C k E K k C D k K LL LLL U UL ULL

    4 Yxlaky Akl`tgy 3A H k D E k G L LU

    3 @lxkuky Nwyxky 2n I k I H k H G k G E k E C k C K k K D k D L LL LL LU U UL ULL

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    Cteli`

    Ok Cwlxkttk

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    +

    Loxgtukf`y o` Dtk` hk Cwlxkttk

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