Problemas Resueltos N-1

 

  PUJEBHAC^ PUJPXH^\J^ PUJPXH^\J^ _ UH^XHB\J^ UH^XHB\J^ LH \JPJKUCDÁC Proahrc Pcrth O. PUJEBHAC^ PUJPXH^\J^ HG NBC^H 

3.3 \hgoh \hgohglj glj hg nuhg nuhgtc tc quh hb tcacg tcacg j lhb pcphb lh lhbb pbcgj hs lh 40 x 0 x =0 a. Ncbnubcr bc hsncbc lhb pbcgj. 3.5 Xg thrr thrrhgj hgj lh djrac mhx mhxckjgc ckjgcbb (mhxc (mhxc kkjgj jgj rhku rhkubcr), bcr), lh 380 a lh bclj sh lheh rh rhprhsh prhshgtcr gtcr hg ug pcphb lh ?0 x 40 na. Ncbnubh bc hsn hsncbc cbc th th nngonc gonc lh krconcnoj krconcnoj g. 3.> Ncbn Ncbnub ubcr cr hb bc bclj lj lh ug thrr thrrhg hgjj lh dj djra racc nucl nuclrc rclc lc quh quh rh rhpr prhs hshg hgth th 300 300 mc pc pcrc rc sh shrr rhprhshgtclj hg ug pbcgj hg hsncbc 3/58,000 (bclj hg nas).

  PUJEBHAC 3.3 Ncbnubcr bc hsncbc lhb pbcgj tjpjkrãdnj sceohglj quh bcs loahgsojghs lhb thrrhgj hs lh 3>0 x =0 a. y hb tcacój lh lhbb pc pcph phbb hs lh 40 x 0.00 0.40  3>0.00 a  a .  thrrhgj 3.00 a 3.00  a .  pcphb ↕ Ϋ  B  a .  thrrhgj

3.00 a 3.00  a .  pcphbÛ3>0.00 3>0.00 a  a..  thrrhgj 0.40 a 0.40  a..  pcphb  

5) Hg cgnmj lhb pcphb9

 Ϋ  C 1

534.4;a a  Ϋ  B1534.4;

,

  hsncbc9 3/

 H B1

3 534.4;

 H C 1

3

0.>>.>>  

3.00 a 3.00 >00.00 a  a . Û>00.00  a . 0.?0 a 0.?0  a .

3  H B1 >>>.>> Hsncbc39 3/

5) Hg cgnmj b9

 

 Ϋ  B1

0.40  a . ↕ 58?.=0  a . 3.00  a . ↕ Ϋ  C   a .  

Hsncbc 59 3/

 H C 1

  >) Hsncbc cprjxoaclc9

 Ϋ  C 1

3.00 a 3.00  a.. Û58?.=3.00 58?.=3.00 a  a.. 0.40 a 0.40  a..  

 Ϋ  C 1 >.05

,

3 >.05

 H C 1

3 >.05  

 Hsncbc ∕clhnuclc  

 H C 1

3 800

  PUJEBHAC 3.>

  Ncbnubcr hb bclj lh ug thrrhgj lh djrac nuclrclc quh rhprhshgth 300 mc pcrc shr rhpr rhprhshgtclj hshgtclj hg ug pbcgj hg hsncbc 3/58,000 (bclj hg nas).   ^JBXNOÞG

3) Ãrhc Ãrhc lh lhbb thrr thrrhg hgj j C\ 1 300 mc 6 3mc 1 30,000 a5

C \ 1 l5

5) Hgtjgnhs9 C\ 1 300 mc (30,000a5/3mc)  C \  1 300 mc

(

 )

30,000 a 5  1 3¼000,0000a5 3 mc

>) Buhkj, ^o ^o99 l 5 1 3¼000,0000a5 l 1 ∙ 3 ¼ 000,0000 ¼ 000,0000 a 5   l 1 3000a hquovcbhgth c 300,000na

==.==

3 3 3 Hsncbc \h \h ngonc ngonc ac ac s cprjpoclc 3000 ↕ 3 , >== ↕ 5 , 000 H^NCBC9

3/5000

e) C rhc lh bjs Ncapjs lh Nubtovj9 Loahgsojghs lhb \hrrhgj.

 

MJU\CBOYC^

9

DUX\CBH^

9

PC^\OYCBH^ 9

5

5

>=0Û5 = 4 a 1300 , ;00 a ↕ 30 .0 .0;; mc 3558 + 808   Û>=01=3 =3;0 ;000 a 5 ↕ =. 3; mc 5

V

  Q (   )∕

.=48 mc PUJEBHAC G°5 Hb trcaj CE lh ua thrrhgj tohgh ugc bjgkotul lh 54.0 a. phrj quh hg rhcbolcl aolh 5?.?8 a.

LC\J^9

NCBNXBCU

\rcaj CE 1 54.0 a.

 

^JBXNOÞG c) Ncbnubc bc lostcgnoc L

CE

 y M

CE

  B CE  hg hb pbcgj hs lostcgnoc mjrozjgtcb y (Lostcgnoc Uhcb 1 BU)   ^o9 3a (p) ZZZZZZZ 5000 a(\)  

0.544= a   1 300

300

e) Nc Nc bnubj lh bc lostcgnoc Ognbogclc Ognbogclc (cb rc rc s lhb thrrhgj). thrrhgj).

 B K

5 5  L + M  6    L 1 ∙  CE

B K  hs lostcgnoc Uhcb Ognbogclc CE

 BK 1 ∙ ( 85= ) + ( =5.>4= ) 18>< . >=4 a. 5

5

CE

n) Ncbnubc lh bc lostcgnoc ahlolc njg njg bc wognmc wognmc ognbogclc

 B U 1 Ba + N

6

N 1 Ba Û dn

dn 1

℞∕ ℞ '  ℞ ' 

 B U 1Ba +  Ba Û d   B U 1 Ba ( 3 + d   )⃛ ) CE

Ba CE 1

BU ℞ ∕ ℞ '  3+ ℞

 

Ba CE 1

 B U

CE

3 + dn

Uhhapbczcglj lctjs .

V (   )Q l) Nc Nc bnubj lh Njrrhnnoj Njrrhnnoj g y Hrrjr Hrrjr N, H.

Ba CE 1

 

8> 8>=4 .>=4

(

1 8558.5;= a

  )

5?.?8 ∕ >0 3 + >0

N 1Ba Ûdn 1  -0. =?5a =?5a  H1 Ba- dn 10. =? =?55 a

 

PUJEBHAC G° > ^o ljs pugtjs C y E lh ug thrrhgj ahlolj hg njjrlhgclcs tjpjkrconcs (x, y, z) ljglh z hs bc njtc lhb thrrhgj C (38, 30, 5>0) y E (350.58, 48.80, 50) E (350.58, 48.80, 50 a ℞ 1>0.0>5 a

Ba CE 1 350 350 . ;0 a ↕ ^ CE 1 50% 348 . 80 a ↕ ^ NL1 80% Ba NL1 348 NCBNXBCU9 c) Lostcgnocs rhcbhs (LU) lh CE y NL e)  Bcs njtcs y njjrlhgclcs lh lh C, E, N, L. ^JBXNOJGH^9 C) Nc Nc bnubj bnubj lh bcs lostcgnocs CE y NL hrrjrhs hrrjrhs y njrrhnnojghs njrrhnnojghs N 1 Njrrhn Njrrhnnoj noj g N   ℞   1 Njrrhnnojg Boghcb No 1 Njrrhnnoj Njrrhnnoj g / Ognbogcnoj Ognbogcnoj g6 H 1 Hrrjr

 B U 1 Ba + N  --------------- N 1 N℞ + No -----------------  H 1 -N ------------------------ N℞ 1 Ba Ûd  -----------------

d n1

℞ ∕ ℞ '  ℞ '  -----------------

No 1   M 5 5 Ba ----------------   M 1  Ba ^hg ν -------------  M  ν1 Crntcg  L -----------

(  )

c) Nc Nc bnubj lh Hrrjrhs y Njrrhnnojghs Nb y No   Lh bcs hnucnojghs  y  

N℞ 1 Ba

(  )

℞∕ ℞ '  ℞ '  Uhhapbczc gljbh lctjs Uhhapbczc ( >0.0>5∕>0 )

N℞ CE1350.;0

N℞ NL1 348.80

>0

10. 35=; a

( >0.0>5 ∕>0 ) 10.3; 0.3;4 48

>0

a

 

e) Nc Nc bnubj bnubj lh bcs njjrlhgclcs lh bjs pugtjs E, N, L. C 1 (500, 300, >00) E 1 (]E, _E, YE) N 1 (]N, _N, YN) L 1 (]   ν , _   ν , Y   ℞ ) n) ^hku ^hku g bc okurc   ]E 1 ]C+BUCE 1500 + 33=.80= 1 >3=.80= a. 6 YE 1 YC - M

CE

_E 1 300

 1 >00 - 5>.4;3 1 5;4.5?= a.

l ) ]N 1 ]E + >.8 1 >3=.80= + >.8 1 >55.00= a 6   YN 1 YE - >.40 + 3.8 1 5;4.5?= - >.40 + 3.8 1 5;55.00= + 3