Correction#du#DS#2#
Exercice#1#
P- B%2$:C)("#"*%2$2"*&$D%2$#"1)3E1%2$"(H4*0FE%2$34($%11%$3"*&0%**%*&$D%2$4&"#%2$D%$34(/"*%$%&$C7D("HI*%-$
Y- B;4&"#%$D;C7D("HI*%$4$:"E($*E#)("$X`P$D"*3$:"E($2&(E3&E(%$)1%3&("*0FE%$g=PA-$h1$1E0$#4*FE%$E*$)1%3&("*$
:"E($24&E(%($24$3"E3C%$%9&%(*%$D"*3$01$G4$D"*3$<"(#%($P$10402"*$=(IH1%$DE$DE%&A-$h1$*;4E(4$:42$D%$D"E/1%&$*"*$
104*&-$
B;4&"#%$D%$34(/"*%$4$:"E($*E#)("$X`>$D"*3$:"E($2&(E3&E(%$)1%3&("*0FE%$g=YAB=bA-$h1$1E0$#4*FE%$b$)1%3&("*2$
:"E($24&E(%($24$3"E3C%$%9&%(*%$D"*3$01$G4$D"*3$<"(#%($b$10402"*2$=(IH1%$D%$1;"3&%&A-$h1$*;4E(4$:42$D%$D"E/1%&$
*"*$104*&-$
B;4&"#%$D;4N"&%$4$:"E($*E#)("$X`Q$D"*3$:"E($2&(E3&E(%$)1%3&("*0FE%$g=YAB=@A-$h1$1E0$#4*FE%$f$)1%3&("*2$:"E($
24&E(%($24$3"E3C%$%9&%(*%$D"*3$01$G4$D"*3$<"(#%($f$10402"*2$=(IH1%$D%$1;"3&%&A-$h1$1E0$(%2&%$41"(2$@Sf`Y$)1%3&("*2$
10/(%$D"*3$P$D"E/1%&$*"*$104*&-$
f- i"(#E1%$D%$1%V02$+$$
$
b- B;02"#I(%$X$%2&$14$#"1)3E1%$P-$
@- 6E&"E($D%$1;4&"#%$D%$34(/"*%$01$7$4$f$4&"#%2$%&$:42$D%$D"E/1%&2$*"*$104*&2-$h12$G"*&$2%$:143%($4E9$2"##%&2$
D;E*$&(04*H1%$D"*3$14$H)"#)&(0%$4E&"E($D%$M$2%(4$&(04*HE140(%$:14*%-$
Exercice#2#:#
P- O*$2"EC40&%$D01E%($:4($b$14$2"1E&0"*$#I(%$^_-$
'("&"3"1%$D%$D01E&0"*$+$
• '()1%G%($K$14$:0:%&&%$J4EH)%$@?_$#B$D%$2"1E&0"*$#I(%$D4*2$E*$/)3C%($D%$2%(G03%-$
• j%(2%($D4*2$E*%$<0"1%$J4EH)%$D%$Y_$#B-$
• 6J"E&%($E*$:%E$D;%4E$D02&011)%-$
• L"#"H)*)02%(-$
• 6J"E&%($D%$1;%4E$D02&011)%$JE2FE;4E$&(40&$D%$J4EH%-$
• L"#"H)*)02%(-$
Y- B4$2"1E&0"*$D;0"*2$!03[%1$4/2"(/%$4E9$41%*&"E(2$D%$b__$*#$%&$Q__$*#$D"*3$G%(2$1%$/1%E$%&$("EH%-$811%$2%(4$
D"*3$GE%$D%$14$3"E1%E($3"#:1)#%*&40(%$1%$G%(&-$
f- B%$2:%3&(":C"&"#I&(%$D"0&$d&(%$()H1)$4E$#490#E#$
D;4/2"(:&0"*$D%$14$2"1E&0"*$D;0"*2$!03[%1$2"0&$b__$*#-$
b- ^E($1%$H(4:C0FE%$6`<=MA$"*$4$D%2$:"0*&2$FE420S410H*)2-$O*$
:%E&$D"*3$#"D)102%($:4($E*%$<"*3&0"*$10*)40(%$3%$FE0$
:("EG%$FE%$6$%&$M$2"*&$:(":"(&0"**%12$=1"0$D%$e%%(S
14#/%(&A-$
@- O*$#"D)102%$1%$H(4:C0FE%$%&$"*$<40&$E*%$1%3&E(%$
H(4:C0FE%$+$M`_-Y@$#"1aB$
Exercice#3#:#
$
P- B4$PI(%$<"(#%$3"*&0%*&$Q$D"E/1%2$10402"*2$3"*JEHE)%2$%&$14$D%E90I#%$R-$
Y- B4$:(%#0I(%$<"(#%$3"*&0%*&$#"0*2$D%$Q$D"E/1%2$10402"*2$3"*JEHE)%2$3"*2)3E&0G%2$D"*3$%11%$0*3"1"(%$
3"*&(40(%#%*&$K$1;4E&(%$<"(#%$FE0$3"*&0%*&$:1E2$D%$Q$D"E/1%2$10402"*2$3"*JEHE)%2$3"*2)3E&0G%2-$
f- B4$3"E1%E($D%$14$374*0D0*%$G4(0%$%*$<"*3&0"*$D%$1;430D0&)$DE$2"1$D"*3$%*$<"*3&0"*$DE$:L-$
$