Tutorial Week 15

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    [}mvpgnd

    k' @gvf}vv jns bgcjp

    fjgh`|mdv vfgmdfm

    bgvfndfmypgndv kaamfp

    jns wn} pmkfj$

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    ;$Y|nqg`m fjgh`|md na khh kcmv sgpj

    hnpv na jkd`v"nd y|kfpgfkh sn|o

    pn jmhy mblm` pjm fndfmyp gd kbmdpkh vfjmbk( l}p bkom v}|m

    pjmw y|m`gfp sjkp pjmw pjgdo sghh

    jkyymd$

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    6$ Ga pmvpgdc k y|m`gfpgnd lkvm`nd kd g`mk fn}h` jmhy fjkhhmdcm

    pjm fjgh`v mzgvpgdc g`mk

    pjmd jmhy pjm fjgh` pn bkompjkp y|m`gfpgnd kd` fndvg`m|

    pjm fjkhhmdcm$ Pjgv vjn}h`

    kvvgvp fjgh`|md gd akg| pmvpgdckd` }vgdc y|nfmvv voghhv$

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    0$ Ga pjm fjgh`v }vm na sn|`vgv v}vymfp pjmd kvo pjm fjgh`

    pn cgqm mzkbyhmv kd` dnd

    mzkbyhmv na sjkp pjmw}d`m|vpkd` pjm sn|`v pn

    bmkd$ @mqmhny k vfgmdpgagf

    `gfpgndk|w( sn|` lkdo mpf$

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    =$ Ga fjgh`|md jkqm k hnfkhhw fn||mfp

    g`mk kln}p k yjmdnbmdnd gd ndmvgp}kpgnd l}p `n dnp |mfncdgvm pjkp

    pjm vkbm mzyhkdkpgnd jnh`v gd

    `gaam|mdp vgp}kpgndv pjmw dmm` pn lm

    jmhym` lw pjm pmkfjm| pn bkom hgdovlmpsmmd pjm vgp}kpgndv$ Pjgv bkw

    bmkd |mymkpgdc mzym|gbmdpv( an|

    mzkbyhm mqkyn|kpgnd pj|n}cj fhnpjmv

    nd k hgdm( skpm| gd k `gvj k ek| kd`

    y}``hmv nd pjm yhkwc|n}d`$

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    Y|gn| odnshm`cm gv pjm lkdm na p|kdvbgvvgnd"klvn|ypgnd bn`mhv

    na hmk|dgdc$

    Y|gn| odnshm`cm khvn an|fmv k pjmn|mpgfkh vjgap pn qgmsgdc

    hmk|dgdc kv ,fndfmyp}kh fjkdcm$, *Vp|gom ! Ynvdm|( ;7:=? Smvp !

    Ygdmv(;7:='$

    gp gv gbynvvglhm pn hmk|d sgpjn}p y|gn| odnshm`cm$

    Pjm kvymfpv na hmk|dgdc( y|gn| odnshm`cm kd` mzym|gmdfm jkqm k

    vnhg` lkvgv gd |mvmk|fj nd hmk|dgdc$

    Pjm|m gv sg`mvy|mk` kc|mmbmdp pjkp y|gn| odnshm`cm gdah}mdfmv

    hmk|dgdc( kd` pjkp hmk|dm|v fndvp|}fp fndfmypv a|nb y|gn|

    odnshm`cm *\mvdgfo( ;7:6? Chkvm|amh`( ;7:0'$

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    ;$ M`}fkpn|v |khhw pn pjm vhnckd na fndvp|}fpgqgvb5 ,f|mkpm mzym|gmdfmv pjkp

    mdckcm vp}`mdpv gd kfpgqmhw bkogdc vmdvm na fndfmypv an| pjmbvmhqmv$

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    =$ @msmw mbyjkvgumv pjm fnd`gpgndv }d`m| sjgfj gd{}g|w fkd |mvnhqm

    y|nlhmbkpgf mzym|gmdfm$ Jm v}ccmvpv pjkp mvgcdm|v gvfnqm| pjkp sjgfj gv

    y|nlhmbkpgf an| hmk|dm|v( kd` mvpklhgvj fnd`gpgndv pjkp v}yyn|p pjm y|nfmvv

    na gd{}g|w5 pgbm( pkho( kd` pnnhv$

    1$ Qwcnpvow mbyjkvgumv pjm |nhm na vnfgkh y|nfmvv gd hmk|dgdc( v}ccmvpgdc

    pjkp dms fndfmypv kyymk| ag|vp vnfgkhhw( kd` ndhw c|k`}khhw lmfnbm

    yvwfjnhncgfkh$ Jm v}ccmvpv pjkp mvgcdm|v y|nqg`m vnfgkh bn`mhv na

    kyy|ny|gkpm kfpgqgpw( mdklhm c|n}yv na hmk|dm|v pn `n bn|m fnbyhmz kfpgqgpgmv

    pjkd pjmw fn}h` jkd`hm gd`gqg`}khhw( kd` }vm vgcdv pn mdklhm ymnyhm pndmcnpgkpm pjm `gaam|mdp bmkdgdcv pjmw agd` gd vnfgkh kfpgqgpw$

    3$ V}ffmvva}h `mvgcd na gdpm|kfpgqm hmk|dgdc mzym|gmdfmv l}gh`v nd kd

    }d`m|vpkd`gdc na jns hmk|dm|v pjgdo$ Pjgv |m{}g|mv }vgdc mbyg|gfkh bmpjn`v

    pn }dfnqm| y|gn| odnshm`cm$ P|k`gpgndkh pmvpv k|m s|gppmd a|nb pjm mzym|pv#

    ym|vymfpgqm( kd` hklmh hmk|dm|v# `gaam|mdfmv kv ,m||n|v$, Bn|m bn`m|d kd`

    vnyjgvpgfkpm` bmpjn`v khhns m`}fkpn|v pn `gvfnqm| kd` sn|o sgpj pjm hncgf

    na hmk|dm|v# |mkvndgdc$ Pjmvm bmpjn`v gdfh}`m fhgdgfkh gdpm|qgmsv( pjgdo"

    khn}` y|nlhmb vnhqgdc( kd` qg`mn gdpm|kfpgnd kdkhwvgv$

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    Pmkfjm| `gvf}vv kln}p k pnygfsgpj vp}`mdpv lman|m pmkfjgdc

    Fhkvv

    `gvf}vvgnd

    Mdckcm vp}`mdpv gd bmkdgdca}h

    kfpgqgpgmv pjkp gdfn|yn|kpm y|gn|

    hmk|dgdc$

    Mzkbyhm na kfpgqgpw pjkp fkd lm `ndm

    Kfpgqgpw

    kvo pjm fjgh`|md pn l|gdc pjmg| akqn|gpm |nfov pn vfjnnh nd pjm ag|vp `kw na pjm }dgp$Gd`gqg`}khhw n| gd vbkhh c|n}yv( pjm fjgh`|md vjk|m vpn|gmv kln}p pjm |nfov pjkp

    pjmw l|n}cjp pn vfjnnh$ Pjgv kfpgqgpw y|nqg`mv pjm pmkfjm| sgpj k p|mbmd`n}v

    kbn}dp na gdan|bkpgnd kln}p sjkp pjm fjgh`|md kh|mk`w odns kln}p |nfov$

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    Pnnhv }vm` pn ghh}vp|kpm k vp}`mdpv

    y|gn| odnshm`cm kln}p k fm|pkgd pnygf

    Mzkbyhm na c|kyjgf n|ckdgum|

    C|kyjgf

    n|ckdgum|

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