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Ucho EchhcgNuget`cgs

1.9@gtrckuet`cg[j`s Uoet`cg prcv`kos f eftfdciuo cn scho echhcg nuget`cgs cntog usok `g Ue`ogeo fgk Ogi`goor`gi.[joso `geduko pcdygch`fds, rft`cgfd nuget`cgs, tjo hckudus nuget`cg fgk tjo ug t stop nuget`cg.@hpcrtfgt prcport os fgk kostg`t cgs fro stftok. [j`s Uoet cg efg ao usok fs f ronorogeo wjog tjogook fr sos. [joro fro, cn ecurso, ctjor typos cn nuget`cg wj`ej fr`so `g ogi goor`gi fppd`eft`cgs,suej fs tr`icgchotr`e, oxpcgogt`fd fgk dcifr`tjh nuget`cgs. [joso ctjors fro kofdt w`tj `g ;

tc >.

]roroqu`s`tosAoncro stfrt`gi tj`s Uoet`cg ycu sjcudk . . .

ugkorstfgk wjft `s hofgt ay f nuget`cg fgkuso nuget`cgfd gctft`cg

ao fado tc pdct irfpjs cn nuget`cgs

Dofrg`gi Cutechos

Cg echpdot`cg ycu sjcudk ao fado tc . . .

stfto wjft `s hofgt ay f pcdygch`fdnuget`cg, fgk f rft`cgfd nuget`cg

uso fgk irfpj tjo hckudus nuget`cg

uso fgk irfpj tjo ug`t stop nuget`cg

>1 JODH (1==?) `s f pcdygch`fd - wo efg roifrk`t fs >t= .

Ay ecgvogt`cg f pcdygch`fd `s wr`ttog w`tj tjo pcwors o`tjor `gerofs`gi cr koerofs`gi. Ncr oxfhpdotjo pcdygch`fd

5x + 0x1 x5 + 1

wcudk ao wr`ttog fs

x5 + 0 x1 + 5 x + 1 cr 1 + 5x + 0x1 x5

@g iogorfd wo jfvo tjo ncddcw`gi kostg`t`cg

] 1 (x) 8 x1 + 5

V1 (x) 8 x1 + 1x

x?

?

?

??

6=

6=

? ? ?

6=

6?

N`iuro 5= < Irfpjs cn scho typ`efd d`gofr, qufkrft`e fgk eua`e pcdygch`fds

[fsb sbYj`ej cn tjo pcdygch`fd irfpjs `g N`iuro 5= fro ckk fgk wj`ej fro ovog3 Frofgy por`ck`e 3

Pcur scdut`cg

Fgswor] 1 `s ovog. ] 5 `s ckk. Gcgo fro por`ck`e.

>; JODH (1==?)x1 + 9 x5 1x ; (a) n (t) 8 t5 5t 1 + 9

(e) i (x) 8 6x1

+ 5x

(k) n (x) 8 6> (o) i (x) 8 6>

Pcur scdut`cg

Fgswor(f) pcdygch`fd cn koiroo ; (qufrt`e), (a) pcdygch`fd cn koiroo 5 (eua`e), (e) gct f pcdygch`fd,(k) pcdygch`fd cn koiroo = (ecgstfgt), (o) pcdygch`fd cn koiroo = (ecgstfgt)

Oxore`sos

6. Yr`to kcwg f pcdygch`fd cn koiroo 5 w`tj `gkopogkogt vfr`fado t.1. Yr`to kcwg f nuget`cg wj`ej `s gct f pcdygch`fd.5. Oxpdf`g wjy y 8 6 + x + x6 / 1 `s gct f pcdygch`fd.;. Utfto tjo koiroo cn tjo ncddcw`gi pcdygch`fds< (f) ] (t) 8 t ; + 9 , (a) ] (t) 8 t 5 + 5 ,

(e) ] (t) 8 66 , (k) ] (t) 8 t?. Yr`to kcwg f pcdygch`fd cn koiroo = w`tj `gkopogkogt vfr`fado z .>. Qonorr`gi tc N`iuro 19, stfto wj`ej nuget`cgs fro cgo-tc-cgo fgk wj`ej fro hfgy-tc-cgo.

Fgswors

6. Ncr oxfhpdo n (t) 8 6 + t + 5 t1

t5

.

1. Ncr oxfhpdo y 8 6x

.

5. F torh suej fs x6 / 1 , w`tj f nrfet`cgfd `gkox, `s gct fddcwok `g f pcdygch`fd.

;. (f) ;, (a) 5, (e) =, (k) 6.

?. ] (z ) 8 65 , ncr oxfhpdo.

>. ] 6 , V6 fgk ] 5 fro cgo-tc-cgo. [jo rost fro hfgy-tc-cgo.

JODH (1==?)?

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1. Qft`cgfd nuget`cgsF rft`cgfd nuget`cg `s ncrhok ay k`v`k`gi cgo pcdygch`fd ay fgctjor. Oxfhpdos `geduko

Q6 (x) 8 x + >x1 + 6

, Q1 (t) 8 t5 61t + 5

, Q5 (z ) 8 1z 1 + z 6

z 1 + z 1Ncr ecgvog`ogeo wo jfvo dfaoddok tjoso rft`cgfd nuget`cgs Q6 , Q1 fgk Q5 .

Boy ]c`gt 61

F rft`cgfd nuget`cg jfs tjo ncrh

Q(x) 8 ] (x)

V(x)wjoro ] fgk V fro pcdygch`fd nuget`cgs.

] `s efddok tjo guhorftcr fgk V `s efddok tjo kogch`gftcr .

[jo irfpjs cn rft`cgfd nuget`cgs efg tfbo f vfr`oty cn k` orogt ncrhs fgk efg ao k`steudt tc pdct ayjfgk. _so cn f irfpj`es efdeudftcr cr echputor scntwfro efg jodp. @n ycu jfvo feeoss tc f pdctt`gipfebfio cr efdeudftcr `t wcudk ao usonud tc catf`g irfpjs cn tjoso nuget`cgs ncr ycursodn. [jo goxtOxfhpdo fgk twc [fsbs fddcw ycu tc oxpdcro scho cn tjo nofturos cn tjo irfpjs.

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