Solución

! # " $% "&(' #")*
+,.-0/2143658709;:8/<-0/+,=,0>?
@(ACBEDGFIH=ACJLK.@
M4N*OQPSRSTUWV(XEN*OQPSRSYZU[;\ /]:_^8`b1da cfefgihkj [dl mQn2opl m2nqrl m ?s?s?
tIuvxw<yfuvkz*{pv
>
+
|
e
} >=> b> +
~
~
~

} €+d‚ €dƒ ‚
M4N*OQPSRSTUWV(XEN*OQPSRSYZU[;\ /]:_^8`b1da cC+„ [d…*†Q‡ˆq‰…*† ?s?s?
b> |
€ƒd‚
6> e
€+d‚
tIuvxw<yfuvkz*{pv
>
+
|
e
} >=> >b+ >b| >6e }
~

~
~
} €+d‚ €+d‚ €Š>‹‚ €Œe‚ }
M4N*OQPSRSTUWV(XEN*OQPSRSYZU[;\ /]:_^8`b1da cC| NŽ `^‘5‘/<7;c;’“7;a c;`3]’”5‘:_’=c;^‘•–1=:_—˜’=3]`b1da cf™`c0/b’=™Œ?s?s?
}
}
tIuvxw<yfuvkz*{pv
>
+
|
e
} >=> >b+ >b| >6e }
~
~

~
} €|d‚ €–e‚ €–e‚ €Š>‹‚ }
M4N*OQPSRSTUWV(XEN*OQPSRSYZU[;\ /]:_^8`b1da ci>š›1dc;^8`-0/]:_’=c;-01”/b™x/b^‘œ’=3]`s1 \ /b365‘1=:_`’=™ žQl n ?s?s?

>
~
+
~
|
tIuvxw<yfuvkz*{pv
e
} >=> b> +
~
} €Š>‹‚ €–e ‚
b> |
€–e‚
6> e
€–e‚
}
}
u
M /b’ &7;c/b^‘œ’=3]`s1 \ /b365‘1=:_`’=™ !" -0/*-;`—/bc;^8`b1da c$#ˆc;`s58’S361dc œ;:814-;7;365‘1Q`c 5‘/]:_c01 gihkj&%(')*bh+) † h-,.,.,sh+)/0
7;c;’”9’=^‘/21=:85‘1dc01=:_—˜’=™k-01/ ?
V :81=9’3: 270/<^84` )+h 5768(9:)(; =?< > / *@ = ) = %A5B; =?< > / *DC = ) = 9;/bc 5‘1dc;36/b^<gE)h+5 jF; =?< > / *@ = C =
v
bh † h bh /b^7;c;’”9’=^‘/<1=:85‘1dc01=:_—˜’=™k-0/M?
† ) † N,-,-,N /)/h *)*N † ) † N,-,-,N /)/.j
g h j g
g bh j * C † gE)*]h+) / † @ jONP,-C,-,N @ † CC * gE) † h+)*jOC NP,-,-,N @ / C /.gE)/h+)/Ij
††
/ /(; < = = ,
@ C
=?> *@ C
M /<7;^;1 a 70/<œ 1=:^‘/]:9’=^‘/<1=:85‘1dc01=:_—˜’=™R9xgE) = h+)S<jF; ><^8`UT;WVQ% gE) = h+)S<jF;“,˜^8`4TY;WX VZ,
u W[\-^]8
4"GHJI LK
')* +) -,-,-, +)/0
E) +5 F;
*+)*N
; * * E)* +)@ * ON @
@ C
@
; * *N
N,-,-,N
@ C
@ C
Q2
>?
-_
M /b’` 7;cf/b^‘œ’=3]`s1 \ /b365‘1=:_`’=™a% gihxj$*Y% gihxj † -01d^ œ;:814-;7;365‘1d^ `c 5‘/]:_c01d^-0/b#ˆc;`-01d^›/bc“/ba ™?
M /<-0/b#ˆc0/gihkj n [ o qrl ced gEf h+)Ij n ; gEf h+)Ij$*gN gEf h+)Ij †ih f h+)`68
M /b`’ j 7;cp^8709 /b^‘œ’=3]`s1 \ /b365‘1=:_`’=™ -0/Mk%f™™’=—˜’=—1d^ [
l *E’=™k361d—œ™s/b—/bc 5‘1˜1=:85‘1Zm=1dc;’=™ -0/Mj 361dcf/b™xœ;:814-;7;365‘1˜`c 5‘/]:_c01fgihxj$*
l † ’=™k361d—œ™s/b—/bc 5‘1˜1=:85‘Z1 m=1dc;’=™ -0M
/ j 361dcf/b™xœ;:814-;7;365‘1˜`c 5‘/]:_c01fgihxj †
l n ’=™k361d—œ™s/b—/bc 5‘1˜1=:85‘Z1 m=1dc;’=™ -0M
/ j 361dcf/b™xœ;:814-;7;365‘1˜`c 5‘/]:_c01fgihxj n ?
€ ’ ‚ n
V :81=9’3: 270/gihkj n /b^E7;cœ;:814-;7;365‘1˜`c 5‘/]:_c010?
v4"GHJI LK
`?2Eg ) NP5+h f j n ; Eg )$NP5+h f $j *oN Eg )$NP5+h f j †
; gE)h+f j$*gN gE5h+f j$*gN gE)h+f j † N gE5h+f j †
+
g h j g h j † N gE5h+f j$*gN gE5h+f j †
g h j n g h j n h h f h+)h+5 68,
``?Qg @ f +h )Gj n ; g @ f h+)Gj$* N g @ f h+)Gj † ; @ gkf h+)Lj$*MN @ gkf h+)Lj † ; @ gkf h+)Lj n
h 6 l c h ) 68?
@
```?SgE)+h f j n ; gE)h+f j$*gN gE)h+f j † ; gWf h+)j$*N gEf h+)Ij †
; gEf h+)Ij$*oN gEf h+)Ij † ; gEf h+)Ij n h f h+)`68,
` \ ?2Eg )+h )j n ; Wg )+h )$j *gN gE)h+)Ij † , N , gE)h+)Ij n , h ) 68?
g )+h )fj n ; g )+h )f$j * N g )+h )fj † ? V ’:_’ 270/˜g)h+)fj n ;&,.-0/]9 /^‘/]:g )h+)fj$* ; ,(%
g )+h ) j † ;WD, 9kœ70/b^Q^‘1dc c01fc0-/ md’58` \ 1d-^ 9H%Cœ 1=:2^‘/]:2/b^‘5‘1d^2œ;:814-;7;365‘1d^Q`c 5‘/]:_c01d^Q-0/]9 /^‘/]:
)Q;,4 ?
; E) +f $*gN E) +f
; E) +f
N E5 +f
€–9 ‚
€ 3‹‚
[ V :81=9’:3270/ l * l † l n ?
v4"GHJI LK
M /b(’ )`6 l * l † ?
)`6 l *
“gE)h+f j$* ; , h f 68j
)`6 l † “E
g )+h f j † ; , h f 68j
“E
g )+h f $j *oN gW)h+f j † ; gW)h+f j n ; ,
)`6 l n ?
V 1=:S™s158’=c 5‘1 [ )`6 l * l † ) 6 l n
l * l † l n
h f 68j
[ V :81=9’: 270/˜^8`œ’:_’f’=™.m*7;a c )6 (9 / Ž `^‘5‘/ 6 jg9 58’=™L270/() ‡ 6 l * l † 9 /bc 5‘1dc;36/b^ ™’
œ;:81%=/b3]3]`b1da c 1=:85‘1Zm=1dc;’=™-0/M)C^‘1=9;:8/Qj 361dc 3]7;’=™?27;`s/]:_’.-0/™s1d^S5‘:8/b^Sœ;:814-;7;365‘1d^Q`c 5‘/]:_c01d^S-;’I/b™
—˜`^8—1 \ /b365‘1=:b?
4v "GHJI LK
M /b(’ )`6 58’=a™ 270/2/ Ž `^‘58’ 68jG58’=a™ 270/ ) ‡ 6 l * l † ?
š›1d* —1 ) ‡ `6 l *F% 361d*—1 l *Q/b^2/b™361d—œ™s/b—/bc 5‘11=:85‘Z1 m=1dc;’=™(-0/ j“361dc g<h]$j *9x/bc 5‘1dc;36/b^
€ ) ‡ L‚ ; ,-01dc;-0/ € ) ‡ ‚›/b^™’”œ;:81 %=/b3]3]`b1da cC-0/ ) ‡ ^‘1=9;:8M/ j 361dcig<h]$j *]?
š›1d—1Q) ‡ 6 l † ’=c’=a ™s1Zmd’=—/bc 5‘/ ’=™k3]’=^‘1.’=c 5‘/]:_`s1=:S^‘/258`s/bc0/ 270/ † €
) ‡ ‚; ,4?
V 1=:”™’œ’:85‘/I’=c 5‘/]:_`s1=: 9Œ^‘/.^8’9 / 270/.^8` ) ‡ 6 l * l † 9Z/bc 5‘1dc;36/b^ ) ‡ 6 l n ? V 1=:”™s1
|
58’=c 5‘1 n €
) ‡ ‚L; ,4?
70-/ m=1 = €
) ‡ ‚; = €
)0‚ ‡ = € ‚; , h T; >h_+h_|,
70-/ m=1 = € )0‚ ; = € ‚ %f361d—1 = € ‚L; <œ70/b^ 68jg90/bc 5‘1dc;36/b^
= € )0L‚ ; h T; >h_+h_|
!G4v "GHJI LK
)Q; oN&
€ ) ‡ ‚*361dc 68jP%A) ‡ 6 l *-9;œ 1=:™s158’=c 5‘1 * € )0‚ ; )Q; oN&
€ ) ‡ ‚*361dc 68jP%A) ‡ 6 l † 9;œ 1=:™s158’=c 5‘1 † € )0‚ ; † l n 90œ 1=:
)Q; N“
€ ) ‡ ‚(361dc 68j %`) ‡ $6 l n 94œ70/b^*œ 1=:™’ œ’:85‘/2’=c 5‘/]:_`s1=: l * l ™s158’=c 5‘1 * €
)0‚L; N c 5‘1dc;36/b^ [
= € )0‚ ; h T; >h_+h_| ,
+?
]8
M /b’/b™x/b^‘œ’=3]`s1 \ /b365‘1=:_`’=™ ; l mQn € l c ; l m ‚›361dcC™s1d^ œ;:814-;7;365‘1d^ `c 5‘/]:_c01d^ [
g € a*bh † h n ‚_h‹€ D*‹h † h n ‚›j$* ; a* D*N † † N n n
g € a*bh † h n ‚_h‹€ D*bh † h n ‚›j † ; a* D* ‡ a* †›‡ † D*N + † † N n n
g € a*bh † h n ‚_h‹€ D*bh † h n ‚(j n ;&+ a* D* ‡ a* †›‡ † D*N | † † N + n n
M /b`’ j; j, 1, '€Š>hb>hb>‹‚ 0(% l *9 l † % l n -0b/ #ˆc;`-01d^*361d—1˜/bcC™’”œ’:85‘/<’=c 5‘/]:_`s1=:b?
€ ’ ‚ ’=™™’: l *-9 l † % l n ?
v4"GHJI LK
`? l * [ M, ; g € h ˆh ‚_h‹€Š>hb>hb>‹‚E$j * ; (N N 0?
70-/ m=1 l *o; '€ h ˆh o‚ 6 l mQn (N N M; , 0d?
€ h ˆh ‡ ‡ ;‚Œ/b^›7;c \ /b365‘1=: m=/bc›/]a :_`361-0/ l *-94™70-/ m=Q1 '€Š>h8,4h ‡ >‹‚_h‹€ ,4hb>h ‡ >‹‚ 0”/b^*7;c;’29’=^‘/
-0/ l *b?
e
``? l Q† [ ,M; g € h ˆh ‚_h‹€Š>hb>hb>‹‚Ej † ; ‡ ‡ N + N 1; ,4?
70/-m=1 l † ; '€ h ˆh ‚o6 l mQn N M; ,0d?
€ h ˆh ‡ ;‚ /b^Z7;c \ /b365‘1=:m=/bc›/]a :_`361S-0/ l † 9™70/-m=1$'€Š>h8,4h8, ‚_h‹€ ,4hb>h ‡ >‹‚ 0S/b^Z7;c;’*9’=^‘/›-0/ l † ?
```? l n [ M, ; g € h ˆh ‚_h‹€Š>hb>hb>‹‚Ej n ;&+ ‡ ‡ N | N + 1; ,4?
70/-m=1 l n ; '€ h ˆh ‚o6 l mQn (N + N + 1; ,0d?
€ ‡ + ‡ + 0h ˆh ‚</b^ 7;c \ /b365‘1=1: m=/bc›/]a :_`361 -0/ l n 9™70/-m=1'€ ‡ +hb>h8, ‚_h‹€ ‡ +h8,4hb>‹‚0 /b^ 7;c;’
9’=^‘/-0/ l n ?
€–9 ‚
V :81=9’:F270/ ™’˜œ;:81%=/b3]3]`b1da c 1=:85‘1Zm=1dc;’=™Œ-0/€Š>h_+h8, ‚S^‘1=9;:8/(j 361dc 3]7;’=™?27;`s/]:_’˜-0/ ™s1d^E5‘:8/b^Sœ;:81
-;7;365‘1d^E`c 5‘/]:_c01d^ -;’/b™k—˜`^8—1 \ /b365‘1=:S/`c;-;`3]’: 3]7’=a ™x/b^]?
4v "GHJI LK M /b(
’ )(;W€Š>h_+h8, ‚ %f^‘/b’F;W€Š>hb>hb>‹‚ 68j›?
) ‡ F;W€Š>h_+h8, ‚ ‡ €Š>hb>hb>‹g
‚ ;W€ ,4hb>h ‡ >‹‚_?
M /I58`s/bc0`/ 270/ ) ‡ 6 l *-9œ70/b^ , N > ‡ > ;, % ) ‡ 6 l † œ70/b^.> ‡ > ; ,4? 70/-m=1
) ‡ $6 l * l † , V 1=:E™s1”58’=c 5‘^1 9ˆ-0/<™’ 7;a ™s58`—˜’ ^8709;œ’:85‘/2-0/<™’”œ’:85‘/<’=c 5‘/]:_`s1=:9;^‘/258`s/bc0/ 270/
= € )0‚ ; F; €Š>hb>hb>‹‚ h T; >h_+h_| ,
ƒ