Taller 3 (No Evaluable)

 

[õpoe`ss uiokck 5 [õpoe` 7½ sjnjstrj kj 7171 [cddjr 5 - Cknoiostrceoõi kj `pjrceo`ijs (I` jvcducgdj) 3. Ji d`s sofuojitjs pr`gdj pr`gdjncs ncs kjtjrnoij frcffiec frcffiecnjitj njitj jd oitjrvcd` kj `ptoncdokck `ptoncdokck e3   e7 ` e3 pcrc d`s sofuojitjs pr`gdjncs. [jifc ji eujitc d`s ecs`s jspjeocdjs k`ikj e7 e3   `   e7  pujkji csunor ui vcd`r ejr`.  7xx3 + 5x7  sumjtc c Ncxonozcr z   >  7 c) Ncxonozcr z 5x3 + 7x7   ≫ 8 ∗x3 + x7   ≫  1 x3 ,   x7   ≪ 1 . Ncxonozcr z   >  8  8xx3 + 5x7  sumjtc c g) Ncxonozcr z 5x3 + 7x7   ≫ 8 x3 ∗ x7   ≫ 1 x3 ,   x7   ≪ 1 . Ncxonozcr z e) Ncxonozcr  z   >  x 3 + x7  sumjtc c x7   ≫ 1 5x3 ∗ x7   ≫ 5 x3 ,   x7   ≪ 1 .

∗x3 +

7. Zi Zicc to toji jikc kc vj vjik ikjj k` k`ss ed edcs csjs js kj fc fcsj sj`s `scs cs== dc e`dc e`dc C3 y dc e`dc e`dc C7 C7,, nj nji` i`ss e`st e`st`s `sc. c. Jd ncrfji kj utodokck cpr`xonck` kj dc e`dc C3 js : ejitcv`s p`r dctc y dc kj dc e`dc C7 js kj sojtj ejitcv`s p`r dctc. Ji pr`njko` dc tojikc i` vjikj nãs kj :11 dctcs kocrocs. Cuiquj C3 js uic ncrec rje`i`eokc, d`s edojitjs tojikji c e`nprcr nãs C7, p`rquj js gcstcitj nji`s e`st`sc. Uj jstonc quj sj vjikji eucik` nji`s 311 dctcs kj C3 kocrocs, y quj C7 sj vjikj nãs quj C3 p`r ui ncrfji nîion` kj 7 = 3. Euãitcss dctcs kocrocs kj eckc ncrec kjgj tji tjijr jr ji jxostjieo jxostjieocc dc tojikc pcrc c) Euãitc ncxonozcr dc utodokck0 Kjtjrnoij oij dc rjdceoõi kj dcs utodokc utodokckjs kjs p`r dctc kj C3 y C7 quj ncitjifci ncitjifci g) Kjtjrn soi ecngocr dc s`dueoõi õptonc ji jd otjn citjro`r. 5. Zic jnprjs jnprjscc pr`kuej k`s edcsjs kj n`t`r n`t`rjs js jdïetroe` jdïetroe`s, s, eckc ui` ji uic dîijc kj pr`kueeoõi cpcrtj. Dcs ecpceokckjs kocrocs kj dcs k`s dîijcs s`i kj 811 y 6:1 n`t`rjs. Jd n`t`r [op` O usc 31 e`np`ijitjs kj eojrt` e`np`ijitj jdjetrõioe`, y jd n`t`r [op` [op` OO usc < uiokck uiokckjs. js. Jd pr`vjjk`r kj jsj js j e`np`ijitj pujkj sunoiostrcr  ∗

:x3

+

7x7  sumjtc c ∗x3 + x7   ≫ ∗7 7x3 + 5x7   ≫ : x! ,   x7   ≪ 1 .

Noionozcr z   >  8  8xx3 + 5x7  sumjtc c g) Noionozcr z 8x3 ∗ 5x7 + x5   ≪ 7 5x3 + ;x7 + x5   ≪ : x3 ,   x7 ,   x5   ≪ 1 . :. Zi e`dj e`djee eeo` o`io iost stcc kj crtj crtj vocm vocmcc ui uicc vj vjzz cd nj njs, s, ji pr`n pr`njk jko` o`,, pc pcrc rc csos csosto torr c su sugc gcst stcs cs.. Ji eck eckcc voc vocmj mj sj fcr fcrci cito tozc zc ui uicc e` e`np nprc rc.. Jd to tojnp jnp` ` jit jitrj rj d` d`ss voc vocmjs mjs to toji jijj kos kostr trog ogue ueoõ oõi i jxp`ijieocd. Kjtjrnoij d` sofuojitj= pr`g `gcg cgodo odokck kckkj kj qu qujj jd e` e`dje djeeo` eo`io iost stcc i` e` e`npr nprjj `g `grc rcss kj crtj crtj ji ui pjr pjro` o`k` k` c) Dc pr kj 5 njsjs. g) Dc pr`gcg pr`gcgodokc odokc kj quj jd e`djeeo`i e`djeeo`iostc ostc i` e`npr e`nprjj nãs kj < `grcs kj crtj p`r có`. pr`g `gcg cgod odok okck ck kj qu qujj jd to tojn jnp` p` ji jitr trjj vo vocm cmjs js su suej ejso sov` v`ss sj sjcc nc ncy` y`rr qu qujj 3 nj njs. s. e) Dc pr 8. Ji ui gcie`, dc hrjeuji hrjeujieoc eoc kj ddjfckcs js kj 7 edojitjs p`r noiut` noiut`.. Kjtjrnoij d` sofuojitj pr`njko` `njko` kj ddjfck ddjfckcs cs kurcit kurcitjj : noiut`s. c) Dc ecitokck pr pr`gcgodokck dokck kj quj i` lcyc ddjfckcs kurcitj jd pr`xon` pr`xon` 1,: noiut`. g) Dc pr`gcgo pr`gcgodokck dokck kj quj lcyc uic ddjfckc kurcitj jd prõxon` 1,: noiut`. noiut`. e) Dc pr`gcgo k) Dc pr`gcgodokck kj quj jd tojnp` jitrj k`s ddjfckcs suejsovcs sjc kj 5 noiut`s eucik` nji`s. 6. Eckc ncócic, jd rjhrofjrck`r kj ui tcddjr pjqujó` js cgcstjeok` e`i k`s ecmcs (7; dctcs p`r ecmc) kj fcsj`scs, pcrc e`isun` kj kojz jnpdjck`s. Jst`s jnpdjck`s pujk pu jkji ji sc sceo eocr cr su sj sjk k c eu eucd cdqu quoj ojrr l` l`rc rc,, ku kurc rcit itjj jd kî kîcc kj trcg trcgcm cm` ` kj < l` l`rc rcss (k (kjj