chapter 20a (simpson's rule)

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  • 7/21/2019 Chapter 20a (Simpson's Rule)

    1/12

    IGOZUAS3:

    YNHZYFMY SQLA

    Zoka ?f` ?3

    Igoptar3:

    Ynhpsfms Sula

    Axarinsa -?0

    Omswar ?

    Knvam4-

    ? Lamktg f` cfot 8 ?: h

    3 Muhcar f` frenmotas 8 1

    g 8 ?: / 5

    g 8 3.1

    y (YH) Zrfeuit

    : ? :

    3.31 5 >

    9 3 0

    3.31 5 >

    : ? :

    Yuh 35

    orao 8 g / 9 * Yuh f` prfeuits

    orao 8 3.1 / 9 * 35

    Orao 8 3: h3

    Omswar 3

    Knvam4-

    ? Lamktg f` cfot 8 1: h

    3 Muhcar f` frenmotas 8 1

    g 8 1: / 5

    g 8 ?3.1

  • 7/21/2019 Chapter 20a (Simpson's Rule)

    2/12

    IGOZUAS3:

    YNHZYFMY SQLA

    Zoka 3f` ?3

    y/3 (YH) Zrfeuit

    :.;7 ? :.;7

    3.7> 5 ??.10

    5.:0 3 7.?3

    3.95 5 >.90

    :.9? ? :.9?

    Yuh 9:.?9

    Gol` orao 8 g / 9 * Yuh f` prfeuits

    Gol` orao 8 ?3.1 / 9 * 9:.?9

    Gol` Orao 8 ?31.153 h3

    @ull orao 8 Gol` orao * 3

    @ull orao 8 ?31.153 * 3

    @ull orao 8 31?.:79 h3

    Omswar 9

    Knvam4-

    ? Gankgt 8 ?3 h

    3 Muhcar f` frenmotas 8 ;

    g 8 ?3 / 0

    g 8 3

    y/3 (YH) Zrfeuit

    ; ? ;

    5.7 5 ?>.3

    3.>1 3 1.>

    3 5 7

    ?.01 3 9.9

    ?.9 5 1.3

    : ? :

    Yuh 57.0

  • 7/21/2019 Chapter 20a (Simpson's Rule)

    3/12

    IGOZUAS3:

    YNHZYFMY SQLA

    Zoka 9f` ?3

    Gol` orao 8 g / 9 * Yuh f` prfeuits

    Gol` orao 8 3 / 9 * 57.0

    Gol` Orao 8 93.5:: h3

    @ull orao 8 Gol` orao * 3

    @ull orao 8 93.5 * 3

    @ull orao 8 05.7 h3

    Omswar 5

    Knvam4-

    ? Gankgt 8 ?: h

    3 Muhcar f` sakhamts 8 1

    g 8 ?: / 1

    g 8 3

    Orao x

    y/3 (YH) Zrfeuit

    ?: ? ?:

    >.9 5 9;.3

    7.9 ? 7.9

    Yuh 11.1

    Gol` orao 8 g / 9 * Yuh f` prfeuits

    Gol` orao 8 3.:: / 9 * 11.1

    Gol` Orao 8 9;.::: h3

    @ull orao 8 Gol` orao * 3

    @ull orao 8 9;.:: * 3

    @ull orao 8 ;5 h3

  • 7/21/2019 Chapter 20a (Simpson's Rule)

    4/12

    IGOZUAS3:

    YNHZYFMY SQLA

    Zoka 5f` ?3

    Orao ^

    g 8 ?: / 1

    g 8 3.::

    y/3 (YH) Zrfeuit

    7.9 ? 7.9

    ;.? 9 3?.9

    1.; 9 ?;.?

    9.7 ? 9.7

    Yuh 1:.1

    Gol` orao 8 g * 9/7 * Yuh f` prfeuits

    Gol` orao 8 3.:: * 9/7 * 1:.1

    Gol` Orao 8 9;.7;1 h3

    @ull orao 8 Gol` orao * 3

    @ull orao 8 9;.7;1 * 3

    @ull orao 8 ;1.;1 h3

    Uftol Orao 8 ;5 + ;1.;1

    Uftol Orao 8 ?5>.;1 h3

  • 7/21/2019 Chapter 20a (Simpson's Rule)

    5/12

    IGOZUAS3:

    YNHZYFMY SQLA

    Zoka 1f` ?3

    Omswar 1

    o)

    Orao W

    Knvam4-

    ? Gankgt 8 ?1: h

    3 Muhcar f` sakhamts 8 7

    g 8 ?1: / 7

    g 8 ?7.7

    y/3 (YH) Zrfeuit

    3.>; ? 3.>;0.?1 5 35.0

    ;.75 3 ?1.07

    7.57 5 99.>3

    7.:0 3 ?0.?3

    ;.3? 5 37.75

    1.;3 3 ??.55

    9.0 5 ?5.5

    : ? :

    Yuh ?5;.>;

    Gol` orao 8 g / 9 * Yuh f` prfeuits

    Gol` orao 8 ?7.;1 / 9 * ?57

    Gol` Orao 8 >35.7?9 h3

    @ull orao 8 Gol` orao * 3

    @ull orao 8 >35.7? * 3

    @ull orao 8 ?75>.09 h3

    c)

    @ull Craotg 8 Hox Craotg * 3

    @ull Craotg 8 7.57 * 3

    Orao Ifa``ninamt 8 @ull orao / Lamktg / @ull Craotg

  • 7/21/2019 Chapter 20a (Simpson's Rule)

    6/12

    IGOZUAS3:

    YNHZYFMY SQLA

    Zoka 0f` ?3

    Orao Ifa``ninamt 8 ?75>.031 / ?1: / ?0.>0

    Orao Ifa``ninamt 8 :.;3;

    i)

    UZI 8 @ull Orao * :.:? * SE f` Y[

    UZI 8 ?75>.09 * :.:? * ?.:31

    UZI 8 ?7.>1>t/ih

    Omswar 0

    Knvam4-

    ? Gankgt 8 3? h

    3 Muhcar f` sakhamts 8 ;

    g 8 3? / ;

    g 8 9

    y (YH) Zrfeuit

    ?>.3 ? ?>.3

    ?7 5 ;3

    ?;.? 3 95.3

    ?0.3 5 05.7

    ?5.5 ? ?5.5

    Yuh 3:5.0

    orao 8 g / 9 * Yuh f` prfeuits

    orao 8 9.:: / 9 * 3:5.0

    Orao 8 3:5.0:: h3

  • 7/21/2019 Chapter 20a (Simpson's Rule)

    7/12

    IGOZUAS3:

    YNHZYFMY SQLA

    Zoka ;f` ?3

    Orao ^

    g 8 3? / ;

    g 8 9.::

    y (YH) Zrfeuit

    ?5.5 ? ?5.5

    ?3 9 90

    >.9 9 3;.>

    0 ? 0

    Yuh 75.9

    orao 8 g * 9/7 * Yuh f` prfeuits

    orao 8 9.:: * 9/7 * 75.9

    Orao 8 >5.797 h3

    Uftol Orao 8 3:5.0 + >5.797

    Uftol Orao 8 3>>.597h3

    Omswar ;

    Knvam4-

    ?. Muhcar f` sakhamts 8 5

    Uftol gankgt f` tga culbgaoe 8 5 * 3

    Uftol gankgt f` tga culbgaoe 87h

    g 8 gankgt

    Muhcar f` sakhamts

    g 8 7

    5

    g 8 3

  • 7/21/2019 Chapter 20a (Simpson's Rule)

    8/12

    IGOZUAS3:

    YNHZYFMY SQLA

    Zoka 7f` ?3

    Orao umear iurva `fr cfttfh 3 sahn frenmotas (gol` orao)8 g * (1i + 7co)

    ?3

    Orao umear iurva `fr cfttfh 3 sahn frenmotas (gol` orao)8 3 * ((1*?) + (7*3.>)(?*5.3))

    ?3

    Orao umear iurva `fr cfttfh 3 sahn frenmotas (gol` orao)8 ? * (1 + 39.3 5.3)

    ?3

    Orao umear iurva `fr cfttfh 3 sahn frenmotas (gol` orao) 8 3h3

    @ull orao 8 Gol` orao * 3

    @ull orao 8 3 * 3

    @ull orao 8 5h3

    y/3 (YH) Zrfeuit

    ? ? ?

    3.> 5 ??.0

    5.3 3 7.5

    1.? 5 3:.5

    1.; ? 1.;

    Yuh 5;.?

    Gol` orao 8 g / 9 * Yuh f` prfeuits

    Gol` orao 8 3.:: / 9 * 5;.?

    Gol` Orao 8 9?.5:: h3

    @ull orao 8 Gol` orao * 3

    @ull orao 8 9?.5: * 3

    @ull orao 8 03.7 h3

    Zonmt raqunrae 8 Uftol Orao

    ?:

    Zonm raqunrae 8 03.7

    ?:

    Zonm raqunrae 8 0.37l

  • 7/21/2019 Chapter 20a (Simpson's Rule)

    9/12

    IGOZUAS3:

    YNHZYFMY SQLA

    Zoka >f` ?3

    Omswar 7

    Knvam4-

    ? Gankgt 8 >: h

    3 Muhcar f` sakhamts 8 >

    g 8 >: / >

    g 8 ?:

    y/3(YH) Zrfeuit

    : ? :

    3.1 9 ;.1

    5.1 9 ?9.10.1 3 ?9

    ;.1 9 33.1

    7.1 9 31.1

    7.1 3 ?;

    7 9 35

    0 9 ?7

    : ? :

    Yuh ?5?

    orao 8 g * 9/7 * Yuh f` prfeuits

    orao 8 ?:.:: * 9/7 * ?5?

    Orao 8 137.;1: h3

    @ull orao 8 Gol` orao * 3

    @ull orao 8 137.;1 * 3

    @ull orao 8 ?:1;.1 h3

    o)

    UZI 8 @ull Orao * :.:? * SE f` Y[

    UZI 8 ?:1;.1 * :.:? * ?.:31

    UZI 8 ?:.79>t/ih

  • 7/21/2019 Chapter 20a (Simpson's Rule)

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    IGOZUAS3:

    YNHZYFMY SQLA

    Zoka ?:f` ?3

    c)

    @ull Craotg 8 Hox Craotg * 3

    @ull Craotg 8 7.1 * 3

    Orao Ifa``ninamt 8 @ull orao / Lamktg / @ull Craotg

    Orao Ifa``ninamt 8 ?:1;.1: / >: / ?;

    Orao Ifa``ninamt 8 :.0>?

    Omswar >

    Knvam4-

    ? Gankgt 8 ?3: h

    3 Muhcar f` sakhamts 8 ?:

    9 Ensploiahamt 8 07??t

    g 8 ?3: / ?:

    g 8 ?3

    y (YH) Zrfeuit?.3 ? ?.3

    >.0 5 97.5

    ?9.3 3 30.5

    ?1 5 0:

    ?1.9 3 9:.0

    ?1.0 5 03.5

    ?1.0 3 9?.3

    ?5.; 5 17.7

    ?3.> 3 31.7

    > 5 90

    : ? :

    Yuh 9;:.7

    orao 8 g / 9 * Yuh f` prfeuits

    orao 8 ?3.:: / 9 * 9;:.7

    Orao 8 ?579.3:: h3

  • 7/21/2019 Chapter 20a (Simpson's Rule)

    11/12

    IGOZUAS3:

    YNHZYFMY SQLA

    Zoka ??f` ?3

    c)

    UZI 8 @ull Orao * :.:? * SE f` Y[

    UZI 8 ?579.3 * :.:? * ?.:31

    UZI 8 ?1.3:9t/ih

    @[O 8 Ensploiahamt

    5: * UZI

    @[O 8 07??

    5: * ?1.3:5

    @[O 8 ??.3ihs

    Omswar ?:

    Knvam4-

    ? Gankgt 8 >> h

    3 Muhcar f` sakhamts 8 >

    g 8 >> / >

    g 8 ??

    y/3(YH) Zrfeuit

    :.51 ? :.51

    3.? 9 0.9

    9.;1 9 ??.31

    1.31 3 ?:.1

    0.51 9 ?>.91

    ;.91 9 33.:1

    ;.7 3 ?1.0

    ;.3 9 3?.0

    1.71 9 ?;.11

    9 ? 9

    Yuh ?3;.01

    orao 8 g * 9/7 * Yuh f` prfeuits

    orao 8 ??.:: * 9/7 * ?3;.;

    Orao 8 130.110 h3

  • 7/21/2019 Chapter 20a (Simpson's Rule)

    12/12

    IGOZUAS3:

    YNHZYFMY SQLA

    Zoka ?3f` ?3

    @ull orao 8 Gol` orao * 3

    @ull orao 8 130.110 * 3

    @ull orao 8 ?:19.?? h3

    -f:f-