Laboratorio 3 - Jose Valdivia Guillen

 

ZLBPJ]WBCFC LFGBHLFD CJ WFL FKZWSÉL @FGZDSFC CJ BLKJLBJ]BF CJ Q]HCZGGBHL R WJ]PBGBHW CJQF]SFIJLSH CJQF]SFIJL SH FGFCJIGH CJ BLKJLBJ]BF JDJGS]BGF  JWGZJDF Q]H@JWBHLFD CJ BLKJLBJ]ÉF JDÂGS]BGF  DFMH]FSH]BH CJ GB]GZBSHW JDJGS]×LBGHW BB 

 

@FGZDSFC CJ BLKJLBJ]ÉFW CJ Q]HCZGGB×L R WJ]PBGBHW JWGZJDF Q]H@JWBHLFD CJ BLKJLBJ]ÉF JDÂGS]BGF GB]GZBSHW JDJGS]×LBGHW BB CHGJLSJ? BLK. IBKZJD BPF] H]CHÖJ_ GF]QBH FDZILH? OHWÂ DZBW PFDCBPBF KZBDDJL SJIF? DFMH]FSH]BH L± 7 —CBWJÖH CJ ZL FIQDB@BGFCH] CB@J]JLGBFD

MOS IJCBGBHL CJ WZ ]JWQZJWSF JL @]JGZJLGBF’  K]ZQH —F’ 

F]JVZBQF-QJ]ß =1=1

 

ZLBPJ]WBCFC LFGBHLFD CJ WFL FKZWSÉL @FGZDSFC CJ BLKJLBJ]BF CJ Q]HCZGGBHL R WJ]PBGBHW CJQF]SFIJLSH CJQF]SFIJL SH FGFCJIGH CJ BLKJLBJ]BF JDJGS]BGF  JWGZJDF Q]H@JWBHLFD CJ BLKJLBJ]ÉF JDÂGS]BGF  DFMH]FSH]BH CJ GB]GZBSHW JDJGS]×LBGHW BB 

  6. HMOJSBPHW

Cbsjöfr ul fipdb`bgfchr cb`jrjlgbfd jl mfsj f MOS. Df ifklbtuc cj df kflflgbf cj vhdtfoj cjmj sjr ghih iélbih 611. Df ghrrbjltj cj phdfrbzfgb÷l js cj :iF, y cjmj usfr ulf `ujltj sbiâtrbgf cj ¶:P. Krf`bgfr df rjspujstf jl `rjgujlgbf y vjrb`bgfr ghl dhs gædgudhs tj÷rbghs dhs pulths gfrfgtjréstbghs. =. IF]GH SJH]BGH

JD jstucbh cj dhs fipdb`bgfchrjs cj trflsbsthrjs ef supujsth quj su kflflgbf js ghlstfltj blcjpjlcbjltj blcjpjlcbjltj cj df `rjgujlgbf cj df sjöfd cj jltrfcf. Jsth bipdbgfréf quj su flgeh cj mflcf js bl`blbth, ¡dh quj phr supujsth lh js gbjrth! Qfrf bdustrfr, jl df `bkurf ihstrfihs ul jsqujif cj df ifklbtuc cj df kflflgbf jl `ulgb÷l cj df `rjgujlgbf cj df sjöfd cj jltrfcf cj ul fipdb`bgfchr MOS h IHW cj gbrgubth cbsgrjth. Hmsjrvj quj, j`jgtbvfijltj, jxbstj ul fipdbh rflkh cj `rjgujlgbfs `r jgujlgbfs jl jd quj df kflflgbf pjrifljgj pjrifljgj gfsb ghlstfltj. Jstj js jd rflkh cj `rjgujlgbf ÿtbd cj hpjrfgb÷l pfrf jd fipdb`bgfchr  pfrtbgudfr. Efstf fehrf, ejihs fsuibch quj lujstrhs fipdb`bgfchrjs jstæl hpjrflch jl jstf mflcf, ddfifcf mflcf cj `rjgujlgbf `r jgujlgbf ijcbf h mflcf ijcbf. Jd fipdb`bgfchr jstæ cbsjöfch pfrf quj su mflcf ijcbf ghblgbcf ghl jd jspjgtrh cj `rjgujlgbf cj dfs sjöfdjs quj sj rjqubjrj fipdb`bgfr. Wb jstj lh `ujrf jd gfsh, jd fipdb`bgfchr cbsthrsbhlfréf jd jspjgtrh cj `rjgujlgbf cj df sjöfd cj jltrfcf, fipdb`bgflch cb`jrjltjs ghiphljltjs cj df sjöfd cj jltrfcf jl cb`jrjltjs cb` jrjltjs gfltbcfcjs. gfltbcfcjs.

 

ZLBPJ]WBCFC LFGBHLFD CJ WFL FKZWSÉL @FGZDSFC CJ BLKJLBJ]BF CJ Q]HCZGGBHL R WJ]PBGBHW CJQF]SFIJLSH CJQF]SFIJL SH FGFCJIGH CJ BLKJLBJ]BF JDJGS]BGF  JWGZJDF Q]H@JWBHLFD CJ BLKJLBJ]ÉF JDÂGS]BGF  DFMH]FSH]BH CJ GB]GZBSHW JDJGS]×LBGHW BB 

 

@bkurf? Jsqujif cj df ifklbtuc cj df kflflgbf cj ul fipdb`bgfchr MOS h IHW I HW cj gbrgubth cbsgrjth jl

`ulgb÷l cj df `rjgujlgbf. Jd kræ`bgh cjdbljf dfs trjs mflcfs cj `rjgujlgbf rjdjvfltjs pfrf df cjtjriblfgb÷l cj df rjspujstf cj `rjgujlgbf. 7.

CJWF]]HDDH CJD DFMH]FSH]BH?

f.

Cbijlsbhlfibjlth Fprhxbifch cjd Fipdb`bgfchr cb`jrjlgbfd MOS.

-  Cbsjöh `ujltj cj df `ujltj cj ghrrbjltj cj chs trflsbsthrjs ghl rjsbsthr, tfimbâl ddfifcf jspjoh cj ghrrbjltj? Gædgudhs prjdbiblfrjs?

Cfths?

 

ZLBPJ]WBCFC LFGBHLFD CJ WFL FKZWSÉL @FGZDSFC CJ BLKJLBJ]BF CJ Q]HCZGGBHL R WJ]PBGBHW CJQF]SFIJLSH CJQF]SFIJL SH FGFCJIGH CJ BLKJLBJ]BF JDJGS]BGF  JWGZJDF Q]H@JWBHLFD CJ BLKJLBJ]ÉF JDÂGS]BGF  DFMH]FSH]BH CJ GB]GZBSHW JDJGS]×LBGHW BB 

  BXV9:iF PXGG9:P PXJJ9-:P PMJ91.;P

ν9611  Gfdgudfihs df ghrrbjltj

?

   ∝    ∝      9   =      9  6 +  =    9 : :((6 + 611)    9 :.6  .; ∝ ∝:   9 : ∝ 1:.6 Jlthlgjs 9

6.5= n℠ 

Cbsjöh cj fipdb`bgfchr cb`jrjlgbfd MOS. Gædgudhs prjdbiblfrjs? Cfths?

   9 6:1   9 611    9 1.1=0    9 ∜    9 :   

 9 11  

 

ZLBPJ]WBCFC LFGBHLFD CJ WFL FKZWSÉL @FGZDSFC CJ BLKJLBJ]BF CJ Q]HCZGGBHL R WJ]PBGBHW CJQF]SFIJLSH CJQF]SFIJL SH FGFCJIGH CJ BLKJLBJ]BF JDJGS]BGF  JWGZJDF Q]H@JWBHLFD CJ BLKJLBJ]ÉF JDÂGS]BGF  DFMH]FSH]BH CJ GB]GZBSHW JDJGS]×LBGHW BB 

 

Gfdgudfihs

Wj sfmj quj?

  

    9 =  +−     9   

 

ZLBPJ]WBCFC LFGBHLFD CJ WFL FKZWSÉL @FGZDSFC CJ BLKJLBJ]BF CJ Q]HCZGGBHL R WJ]PBGBHW CJQF]SFIJLSH CJQF]SFIJL SH FGFCJIGH CJ BLKJLBJ]BF JDJGS]BGF  JWGZJDF Q]H@JWBHLFD CJ BLKJLBJ]ÉF JDÂGS]BGF  DFMH]FSH]BH CJ GB]GZBSHW JDJGS]×LBGHW BB 

 

 9     9  =     9 =       = 1.1=0 611  9 :   9 6.13℠  ]jjipdfzflch vfdhrjs?

   6:1 9 = 6.611− 13 13 + 

   9 6::   6131 +   Fsuibihs   9 ℠    9  6::   6131+611   9 . . ℠℠  Gædgudh cjd rflkh cj dhs vhdtfojs cj jl jltrfcf jl ihch ghiÿl Iæxbih?

   9  9 1.3    ∝ =  −  +     9  ∝    9 1.; ∝ 1.3 ∝ =.:7.3 + :    9 ∝7.=   Iblbih?

 9  +   ∝     9 1.; + 1.7 ∝ :   9 ∝3 

 

ZLBPJ]WBCFC LFGBHLFD CJ WFL FKZWSÉL @FGZDSFC CJ BLKJLBJ]BF CJ Q]HCZGGBHL R WJ]PBGBHW CJQF]SFIJLSH CJQF]SFIJL SH FGFCJIGH CJ BLKJLBJ]BF JDJGS]BGF  JWGZJDF Q]H@JWBHLFD CJ BLKJLBJ]ÉF JDÂGS]BGF  DFMH]FSH]BH CJ GB]GZBSHW JDJGS]×LBGHW BB 

  Gfdgudh jl mfof `rjgujlgbf Cfth?

 9 1    9 1     9 =   6  ∜  9 ∜   9    9  :  9 1      9 61 9 ∜  

Gædgudh jl fdtf `rjgujlgbf

   9 =  //6 +     9 6 +        9 61 9 ∜  3.

WBIZDFGBHL CJD FIQDB@BGFCH] CB@J]JLGBFD MOS. Ghijltfrbh? sj hmsjrvf ulf ghrrbjltj cj : iF ghl`hrij f dh gfdgudfch.

 

ZLBPJ]WBCFC LFGBHLFD CJ WFL FKZWSÉL @FGZDSFC CJ BLKJLBJ]BF CJ Q]HCZGGBHL R WJ]PBGBHW CJQF]SFIJLSH CJQF]SFIJL SH FGFCJIGH CJ BLKJLBJ]BF JDJGS]BGF  JWGZJDF Q]H@JWBHLFD CJ BLKJLBJ]ÉF JDÂGS]BGF  DFMH]FSH]BH CJ GB]GZBSHW JDJGS]×LBGHW BB 

 

Ghijltfrbh? sj hmsjrvf quj

jl df sbiudfgb÷l quj vc9:2= iP, ghrrjsphlcj ghl    2 df kflflgbf cj 6:1 jdjkbcf> .  

  9  

 9 635

 

ZLBPJ]WBCFC LFGBHLFD CJ WFL FKZWSÉL @FGZDSFC CJ BLKJLBJ]BF CJ Q]HCZGGBHL R WJ]PBGBHW CJQF]SFIJLSH CJQF]SFIJL SH FGFCJIGH CJ BLKJLBJ]BF JDJGS]BGF  JWGZJDF Q]H@JWBHLFD CJ BLKJLBJ]ÉF JDÂGS]BGF  DFMH]FSH]BH CJ GB]GZBSHW JDJGS]×LBGHW BB 

  Ghijltfrbh? sj fprjgbf ulf `rjgujlgbf bl`blbtf. 

0. GHLGDZWBHLJW Wj ef dhkrfch sbiudfr jd fipdb`bgfchr cb`jrjlgbfd MOS ghl âxbth, dhs rjsudtfchs tj÷rbghs sj fprhxbifl sbklb`bgftbvfijltj f dh sbiudfch.

 9 1   9 1 df `rjgujlgbf  9 ∜. ∜.

Wj ghlgduyj quj cjmbch f quj,

Wbjlch quj df kflflgbf jl ihch cb`jrjlgbfd sbjiprj sjræ df ibsif i bsif jl fdtfs `rjgujlgbfs, hsjf js bcjfd, dh gufd sfmjihs quj lh js phsbmdj.

 

ZLBPJ]WBCFC LFGBHLFD CJ WFL FKZWSÉL @FGZDSFC CJ BLKJLBJ]BF CJ Q]HCZGGBHL R WJ]PBGBHW CJQF]SFIJLSH CJQF]SFIJL SH FGFCJIGH CJ BLKJLBJ]BF JDJGS]BGF  JWGZJDF Q]H@JWBHLFD CJ BLKJLBJ]ÉF JDÂGS]BGF  DFMH]FSH]BH CJ GB]GZBSHW JDJGS]×LBGHW BB 

  Qfrf fdgflzfr rjspujstfs jl fdtf `rjgujlgbf jl jd fipdb`bgfchr cb`jrjlgbfd, sj rjqubjrj dfs gfpfgbtflgbfs iuy pjqujöfs.

5.

]J@J]LGBFW?

-

Wpbgj `hr phwjr jdjgtrhlbg jlc jdgtrbg phwjr tjrgjrf jcbgb÷l iuefiifc rfsebc.ibgrhjdjgtrhlbg gbrgubts

-

fcjd s. sjcrf, njlljte g. sibte - ;te jcbtbhl

-

Ibgrhjdjgtrhlbgs. gbrgubt flfdysbs flc cjsblk - chlfdc f. ljfijl - 3te jcbtbhl

-

gbrgubths-jdjgtrhlbghs-lhrmjrt-r-ifdbn