Examen - Resp Auxiliar de Docencia Semestre 02-2021

 

I_BAIJ HI GLA^IXIJGCB BY_CKCBP HI HLGIJGCB WIAIWXPI >0/0>02 YJCUIPWCHB BYX×JLAB XLAÂW EPÁBW GBPPIPB== CCJD. GBPPIPB JD. GCUCK. WCDKB= ABX 0>4 BWCDJBXYPB= IGYBGCLJIW HCEIPIJGCBK HCEIPIJGCBKIW. IW. I_BAIJ HI GLA^IXIJGCB UCPXYBK= BY_CKBP HI HLGIJGCB WIAIWXPI >0/0>02 HÁB S EIGOB= MYIUIW >9/>? >9/>?// 0>02 OLPBW 4=89ba ‗ 3 3=29ba =29ba IJXPIDB HIK I_BAIJ PIWYIKXL OBWXB 3=09ba. ^BWBHL IK XCIA^L JL WI PIGC@I. PIGC@I. HLGIJXI I_BACJBHLP= A.Wg. Bk`irtl Xoijcir Aãjhiz Jla`ris Bpikkchls……………………………………………… Bpikkchls……………………………………………… G.C G.C………………..…………….… ………………..…………….… CJWXPYGGCLJIW

Pisuikvb kls scducijtis gcjgl imirgcgcls elraukbhls, alstrbjhl ik prlgihcacijtl pbsl b pbsl ij elrab hchâgtcgb ij elrab gkbrb y tlhl   ik prlgisl hi kb rislkugc÷j. Gbhb pridujtb tciji uj glaprijsc`ki  tlhl glaprijsc`ki  vbklr plrgijtubk hi 0>% 0>%   2.- Pislkvir Pislkvir kb scdu cijti igubgc÷ igubgc÷ j hce irijgc irijgc bk=



_0y–– + xy– + (x0 -  )y 1 x7/0  Wlkugc÷j.

0.- Wib Wib F pbrâaitrl ribk. G Gljsc ljsc hiri ik ik pr l`kiab scdu cijti glj gl jhc gclj is cjcgcbkis.

 

S––(x)) ‗ f y(x) 1 > 6 y(>)1 > , S–( )1 >. S––(x Hitiracji tlhls kls vbklris hi f pbrb kls gubkis ik prl`kiab bhacti slkugcljis jl trcvcbkis y `lsquimbr ik glaplrtbacijtl hi kbs slkugcljis `bml k bs gljhcgcljis c jcgcbkis aijgcljbhb aijgcljbhbs. s. Wlkugc÷j 7.- Ob Obkk kk br kb slk ugc ÷j hi kb scducijti i igubgc÷j gubgc÷j ájtidrl- hceirijgcbk=

∦     ∐    ( ) (

Wlkugc÷j.

)

     ∐    ‰         + 

1

( )+

  ( ).

( )1

8.-- Hbhl 8. Hbhl ik prl` kiab hi G Gbugoy bugoy

( )

( )

( )1

 

 

^brb ^b rb qui vbklr hi x >  si tc iji qui kb slkugc ÷j hik prl `kiab vi virce rce cgb qui y(x >  ) 1

∝ 

 <

Wlkugc÷j.

9. Yj gloiti is kbjzbhl kbjzbhl ij h criggc÷ j rbhcbk h ishi kb supirecgc i hi kb X Xcirrb. cirrb. Wib r(t) kb hcstbjgcb hik gloiti bk gijtrl hi kb Xcirrb. Hi bguirhl b kb kiy hi drbvctbgc÷j hi Jiwtlj, kb bgikirbgc÷j hik gloiti, sc si hisprigcbj ltrls ieigtls istâ hbhb plr β(t) 1  1 r––(t) 1 ∐

 

 6 h ljhi P i is s ik rbhcl hi kb X Xcirrb cirrb y

d : > is ujb gljstbjti ujcvirsbk. Alstrbr drâecgbaijti ik prl`kiab y hialstr br qui, sá kb viklgc hbh cjcg cbk  sbtcsebgi kb rikbgc÷j hi hiscdu bkhbh

  

 : , ijtljgis ik gloiti jujgb ridris÷ b kb Xcirrb. Isti ýktcal jýa irl is kkbabhl viklgc hbh hi isgb isgbpi. pi.

Wlkugc÷j.