bienvenue sur javmath an sol anc.pdf · created date: 6/30/2019 12:49:42 pm title: untitled

13
!"#$!"#% ’#()*%#% +", #,#’-.-#% /0 1234567849 : ;2; /<=> !"#$%&’( *% +#,-&(%( ./0,1’+% 23 45%+616% 272 3 08 *?4@ A37 B C48 D3E8C7 58 " A?7781F?45 58CG D3E8C71 # H"IJ 98 )CK 68 $8 L73FMKNC8 812 3OPKLC@ ?4 48 13K2 F31 1K B 2?C2 4?OP78 842K87 A?7781F?45 C48 ?C 58CG D3E8C71@ F37 8G8OFE8 # H/I Q /@ ?C = ?C E81 58CG D3E8C71J )4 78OFE3A873 A8 L73FMKNC8 FEC2R2 F37 A8ECK AKSA?4278 NCK A?7781F?45 3E?71 PK84 B C48 9?4A2K?4J d) Non 45%+616% 27: 3 08 98 68 *8 %8 ;8 45%+616% 27< 3 (31 58 A?77KLT -4 -3 -2 -1 1 2 3 4 x y -4 -3 -2 -1 1 2 3 4 x -3 3 y -3 3 -3 -2 -1 1 2 3 y -1 1 2 3 4 5 x y 4 8 12 -3 -2 -1 1 2 3 x y -6 -4 -2 2 4 -3 -2 -1 1 2 x y 1 2 3 -3 -2 -1 1 2 3 x y 0.5 1 1.5 2 2.5 -3 -2 -1 1 2 x !"#$!"#% ’#()*%#% +", #,#’-.-#% /0 1234567849 : ;2; /<=> "#$%&’&$ ()* + ,- " = ? @A6/ B " / ?= #$% &’()$* +, -.&/0+-, %’.10(*$/2 3 #"4 5 64 .- 7 ? @A #$% &’()$* +, 8(%80%,- 3 #644 "#$%&’&$ ()/ + ,- 3 C<D ? @E 82 3 C@FD ? => .- 7 3 CED ? GE6F B @/H 82 7 3 C@ID 4J8KL128 M31 "#$%&’&$ ()0 + &- 3 CG@= B < B /H ? G< B / B IH 7 3 CG@I B < B NHD ? !! "# $ &"&$& !! "# $ " # 3 C.’D ? ! ! " $ ! " # $ % # $ % 3 COF B IOD ? O/ B /<O 3 CO= B /PD ? ! ! " $% " # $ % & 7 3 CO@F B @/PD ? Q 7 3 CO= B /PD ? !# $ ! % & " # $ % & ( $ " % & #$ " # $ % & 7 3 CO/ B NOD ? " ! #$ % &’ " # $ " # $ % "& " " #$ % & ( & ( "#$%&’&$ ()1 + ,- .RC3 D?P@ ! B IP .- .RC3 D ? OE B S! O "#$%&’&$ ()2 + ,- = .- 4T812 M31 5U9L4L8 &- ! ! ! " 3- ! " ! ! # $- ! ! ! ! 4- ! ! ! ! ! " " ! ! # ! ! " 5- ! !! ! " ! ! ! ! " " 6- ! ! ! ! " ! ! " ! ! "#$%&’&$ ()7 + ,- # V C 3 D ? .’ .- # V C 3 D ? .’ &- # V C 3 D ? .’ : G=H 3- # V C 3 D ? .’ : GW !" H $- # V C 3 D ? .’ X :G@=H 4- # V C 3 D ? .’:G@/6F B AH 5- # V C 3 D ? .’ 6- # V C 3 D ? .’ : G !! ! !! H "#$%&’&$ ()(8 + ,- # V C 3 D? !" "# ! ! .- # V C 3 D? ! "#" ! " &- # V C 3 D? "# ! ! " " 3- # V C 3 D? ! !" " !# ! #$ %" ! " $ $- # V C 3 D? "# !! ! " 4- # V C 3 D? !" "# ! ! # $" ! " ! " "#$%&’&$ ()(( + " 9 : ! - ;<%=:>- ?,.@$,A 3$ >’5B$> ,- .’ ! ! ! " .- .’ ! ! !! 82 ! ! ! B &- .’ ! ! !! 82 ! ! !! B 3- .’ " ? <Y ! " 82 ! " f (x) + 4/5 0 f (x) + + -1 0 0 2 f (x) + -4 0 0 -2 f (x) + + 0 0 0 1/3 0 3/2

Upload: others

Post on 11-Oct-2020

3 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: Bienvenue sur JAVMATH an sol anc.pdf · Created Date: 6/30/2019 12:49:42 PM Title: Untitled

!"#$!"#%&'#()*%#%&+",&#,#'-.-#%&&

&

/01234567849&:&;2;&/<=>&

&&!"#$%&'()*%)+#,-&(%(&./0,1'+%)23& )

))45%+616%)272)3)))!

)

08&*?4@&A37&B&C48&D3E8C7&58&"&A?7781F?45&58CG&D3E8C71&#!H"IJ&&

98&)CK!

68& $8&L73FMKNC8&812&3OPKLC@&?4&48&13K2&F31&1K&B&2?C2& 4?OP78& 842K87& A?7781F?45& C48& ?C& 58CG&

D3E8C71@& F37& 8G8OFE8& #!H/I& Q& /@& ?C& =& ?C& E81&

58CG& D3E8C71J& )4& 78OFE3A873& A8& L73FMKNC8&

FEC2R2& F37& A8ECK& AKSA?4278& NCK& A?7781F?45&

3E?71&PK84&B&C48&9?4A2K?4J&&

d) Non&

&)

))45%+616%)27:)3)))!

! !

) 08) 98)

)

) )

) 68) *8))

))

) %8) ;8)))

))45%+616%)27<)3))!)

(31&58&A?77KLT!) )

-4

-3

-2

-1

1

2

3

4

x

y

-4 -3 -2 -1 1 2 3 4

x-3 3

y

-3

3

-3 -2 -1 1 2 3

y

-1

1

2

3

4

5

x

y

4

8

12

-3 -2 -1 1 2 3x

y

-6

-4

-2

2

4

-3 -2 -1 1 2x

y

1

2

3

-3 -2 -1 1 2 3 x

y

0.5

1

1.5

2

2.5

-3 -2 -1 1 2 x

!"#$!"#%&'#()*%#%&+",&#,#'-.-#%&&

/01234567849&:&;2;&/<=>&

!

!!"#$%&'&$!()*!+!!!!

!

,-& "=&?&@A6/&&B&&"/&?&=& #$%!&'()$*!+,!-.&/0+-,!%'.10(*$/2!3!#"4!5!64&.-& 7&?&@A& #$%!&'()$*!+,!8(%80%,-!3!#644!

!!

!!"#$%&'&$!()/!+!!!!

!

,-& 3!C<D&?&@E&82&3!C@FD&?&=>&

.-&73&CED&?&GE6F&B&@/H&&&82&&&

73&C@ID&4J8KL128&M31!

!!

!!"#$%&'&$!()0!+!!!!

&-& 3!CG@=&B&<&B&/H&?&G<&B&/&B&IH&73&CG@I&B&<&B&NHD&?&

!! "#

$%& %" %& %$ %& %

!! "#

$" #&& 3!C.'D&?& ! !

"#$#!" #

#"$"%"

#"$"%"& 3!COF&B&IOD&?&O/&B&/<O&

& 3!CO=&B&/PD&?& ! !"#$# %

"!#!$!

%!&!'!&

73&CO@F&B&@/PD&?&Q&

&73&CO=&B&/PD&?& ! "#"

$! %

&

"!

#!$!

%!

&!'!"( "

$" %

&"#" $

"!

#!$!

%!

&!'!&

&73&CO/&B&NOD&?& !

"! #$

%!&! '

"!

#!$!

"!

#!$!!% ! "!&!

"" #$

%!

&!

'!(!

&!

'!(!!

&!

!!"#$%&'&$!()1!+!!!!

&

,-&.RC3!D&?&P&@&!&B&IP& .-&.RC3!D&?&OE&B&S!&O!

!

!!"#$%&'&$!()2!+!!!!

,-& =& .-&4T812&M31&5U9L4L8& &-&!

! ! "& &

3-&!

"! ! #& $-&

!

! !!& 4-& !!

!

! ! ""! ! #! ! "

&

5-&!

!! ! "! !

!

! " "& 6-& !

!

! ! "!

!

"! !!

!!

!!"#$%&'&$!()7!+!!!!

&

,-& #VC&3!D&?&.'& .-&#VC&3!D&?&.'& &-& #VC&3!D&?&.'&:&G=H&

3-& #VC&3!D&?&.'&:&GW ! " H& $-& #VC&3!D&?&.'&X&:&G@=H& 4-& #VC&3!D&?&.'&:&G@/6F&B&AH&

5-& #VC&3!D&?&.'& 6-&#VC&3!D&?&.'&:&G!! ! !!H!!!

!"#$%&'&$!()(8!+!!!

&

,-& #VC&3!D&?& !! " !"! #!! ! & .-& #VC&3!D&?& !!"!!#!"!! " &

&-& #VC&3!D&?& !"!#!!! !" " & 3-& #VC&3!D&?&! !"!" !#!!!#$%"!!!" !$ &$-& #VC&3!D&?& !"!#!!!!! " & 4-& #VC&3!D&?& !!"!"!#!! !# !$!"!!"!! " !

!!

!"#$%&'&$!()((!+!! ! "9:!!"-! ;<%=:>-! ?,.@$,A!3$!>'5B$>!

&

,-&&

.'&

&

! ! !"&

&

&

&

.-&&

.'&&

! ! !! &82& ! ! ! B&&

&

&

&-&&

.'&&

! ! !! &82& ! ! !! B&&

&

&

3-&&

.'&

&

"&?&<Y& !"&82& !

"&

&

&&& &

f (x) + –

4/5

0

f (x) + +–

-1

0 0

2

f (x) – +–

-4

0 0

-2

f (x) + –+–

0

0 0

1/3

0

3/2

Page 2: Bienvenue sur JAVMATH an sol anc.pdf · Created Date: 6/30/2019 12:49:42 PM Title: Untitled

!"#$!"#%&'#()*%#%&+",&#,#'-.-#%&&

&

/01234567849&:&;2;&/<=>&

!

!"#$%&'&$!()((!*!! ! "+,!!"-! ./%0,1-! 2345$36!7$!1'89$1!

&

$-&&

.'&&

"&?&!"&&

&

&

:-&&

.'&&

"&?&!"&&

&

&

8-&&

.'&:&@A6/B&&

"&?&CD&82&"&?&<& &

&

&

;-&&

.'&:&@EDB&&

"&?&<& &

&

&

'-&&

.'&:&@C=&F&<B&&

"&?&C/&

!

!!

&

<-&&

.'&G&&

"&?&E=& &

&

&

=-&&

.'&:&@C=&F&<B&

&

"&?& !!"& &

&

!!

!"#$%&'&$!()(>!*!!!

&

4-& $3& 7HI4JK4& 581& /& 9K4L2JK41& 35M82& LKMM8& N73OPJQI8& R8& L87LR8&

5SHQI32JK4&T&"/&U&#/&?&>/!

!!

!"#$%&'&$!()(?!*!!&

3-& $!V"W&?&/"/&:&A"&:&A& 4-&$!V"W&?&C"/&U&/"&:&A& &-& $!V"W&?&/"/&:&A"&U&X!!!

!"#$%&'&$!()(@!*!!&

3-& $8&L34K4&18&1J2I8&Y&=<&ZM&58&$3I13448&

4-& $3&LJ[R8&18&1J2I8&Y&XX&ZM&58&$3I13448&

&-& $3&9R\LP8&18&1J2I8&Y&I48&3R2J2I58&58&=<=/]X&M&

7-& $3&LJ[R8&18&1J2I8&Y&=X&ZM&KI&Y&X<&ZM&58&$3I13448!!!

!"#$%&'&$!()(A!*!!&

3-& $!V"W&?&A"/&:&D"&:&=&

&-& "=]/&?&! ! "

#!

!!

!"#$%&'&$!()(B!*!!&

3-& $!V^&:&%W&?&$!V^&U&%W&?&%/&:&A/&

4-& +_8&58&1`MH27J8T&"&?&^&&&&'(!)*+,'-!.'/0!1*20/!134'-/!5/3-'6+(/7!

&!

!"#$%&'&$!()(C!*!! 3-&& ! !"

!#! $

"

#$

%

&'! ! !

"

!#" $

"

#$

%

&' &?&

!!""" ! !!# ! $"

!!&

4-& +_8&58&1`MH27J8T&"&?&!!

!"&&&&'(!)*+,'-!.'/0!1*20/!134'-/!5/3-'6+(/7!

&

& &

f (x) – +–

-2

0 0

2

f (x) + +–

-2

0 0

2

f (x) + –+–

-4

0 0

0 3/2

f (x) + –+–

-4

0

0 4

f (x) – +––

-2

00

-1 0

f (x) – +–+

-1

0 0

0 1

f (x) – +–+

-1

0

-1/4 0

!"#$!"#%&'#()*%#%&+",&#,#'-.-#%&&

/01234567849&:&;2;&/<=>&

!

!"#$%&'&$!()(*!+!! ,-& ?31&58&@A7B&C&&!" !#

$"%"&

'

"

#$

%

&' &

.-& @A7B1&84&"&D&!

" &82&"&D&/&C&&!"#

$"%"!&

'

"

#$

%

&' &

&-& @A7B1&84&"&D&/&82&"&D&E&C&&!"#

$"%"&

'

!

"#

$

%& &

/-& @A7B1&84&"&D&<&82&"&D&>&C&&!"#

$"%"!&'

(

"

#$

%

&' !

&!

!"#$%&'&$!()(0!+!!&

(31&58&FB77GHA!

&!

!"#$%&'&$!()12!+!! ,-& !!"! #! !$

! ! "C& !!

"! #! !$

! ! "C& !!! ! "

C&I"J"&K&/LC&

& .'&:&MN/O&5341&FP3FQ4&581&F31&

.-& !!"! #!

$! ! %&$! ! '&C& !

!!"# !

$! ! #%$! ! &%C& !!

!

"! ! #$"! ! %$C& !! !"#

! ! $C&

! .'&:&MNE&R&SOC&.'&:&MNE&R&SOC&.'&:&MNE&R&SOC&.'&T&:&MNE&R&SO!

&!

!"#$%&'&$!()1(!+!!&

!&!

!"#$%&'&$!()11!+!!&

,-& )4& BU2G842& V3& FBQ7U8& #& D& $!J"L& K& F& ?37& Q48& 27341V32GB4& W872GF3V8& 58& F&

Q4G2A1&W871&V8&P3Q2&58&V3&FBQ7U8&#&D&$!J"LX&

.-& )4&BU2G842&V3&FBQ7U8&#&D&$!J"!%!FL&?37&Q48&27341V32GB4&PB7G@B423V8&58&F&

Q4G2A1&3$%4!5,!6,7&8$&58&V3&FBQ7U8&#&D&$!J"LX&

&-& )4&BU2G842&V3&FBQ7U8&#&D&F&· $!J"L&?37&Q48&3QHY84232GB4&JBQ&5GYG4Q2GB4L&

5ZQ4&73??B72&F&58&VZ3Y?VG2Q58&58&V3&FBQ7U8&#&D&$!J"LX&

/-& )4&BU2G842&V3&FBQ7U8&#&D&N$!J"L&?37&Q48&1[YA27G8&3\G3V8&58&V3&FBQ7U8&#&D&

$!J"L&?37&73??B72&]&VZ3\8&581&"X&

$-& )4&BU2G842&V3&FBQ7U8&#&D&^&$!J"L&^&?37&_Q4&78UB45_&58&V3&FBQ7U8&#&D&$!J"L&

3QN5811Q1&58&VZ3\8&581&"X!

&!

!"#$%&'&$!()19!+!!&

(31&58&FB77GHA!

&!

!"#$%&'&$!()1:!+!!&

,-& I"&:&`& .-& I"&:&/& &-& >"&&

/-& `"&:&=E& $-& `"&:&==& ;-& S"&:&=I!

& &

-6

-4

-2

2

4

6 y

-4 -2 2 4 xf + g

g

f

+1

-5

(!f + g)(1) = f!(1) + g(1)

= -5 + (+1)

= -4

-6

-4

-2

2

4

6y

-4 -2 2 4 x

f – g

g

f

(!f – g)(1) = f!(1) – g(1)

= -5 – (+1)

= -6

+1

-5

Page 3: Bienvenue sur JAVMATH an sol anc.pdf · Created Date: 6/30/2019 12:49:42 PM Title: Untitled

!"#$!"#%&'#()*%#%&+",&#,#'-.-#%&&

&

/01234567849&:&;2;&/<=>&

!

!"#$%&'&$!()*+!,!!&

!

& !!& !

!& !

!& !

!& !

!& !

!&

!!& !

!& !

!& !

!& !

!& !

!& !

!&

!!& !

!& !

!& !

!& !

!& !

!& !

!&

!!& !

!& !

!& !

!& !

!& !

!& !

!&

!!& !

!& !

!& !

!& !

!& !

!& !

!&

!!& !

!& !

!& !

!& !

!& !

!& !

!&

!!& !

!& !

!& !

!& !

!& !

!& !

!&

!!

!"#$%&'&$!()*-!,!! ./& !!"" ! " & 82& !!" " ! #" "$ & 0/& !!"" ! #"& 82& "?#@&A&/#&B&C&

&/&!!"" ! "#& 82& !!"" ! " "# & 1/&!!" " ! #$% " & 82& !!" " ! "

#" $ &

$/&!!" " ! #"& 82& !!"" ! #" & 2/& !!"" !

" " #" !$

& 82& !!"" ! " !

!!

!"#$%&'&$!()*3!,!!&

./&&)DE& 0/&&*F4& &/&&*F4& 1/&&)DE!

&!

!"#$%&'&$!()*4!,!! ./&7

$=& .'& ! & .'&&7

$/& .'& ! & .'&

& & #& !!! & #& & #& !!! &!

!&

&

0/&7

$C& .'& ! & .'&&7

$G& .'H& ! & .'H&

& & #& !!! &! ! !"

& & #& !!! &!

!&

&

&/&7

$I& .'B& ! & .'B&&7

$J& .'B& ! & .'&&&K&

& & #& !!! & !& & #& !!! & K !

&

&

1/&7

$L& .'&&:&M/N& ! & .'&:&M=N&&7

$O& .'&:&M=N& ! & .'&:&M=N&

& && & #& !!! &! !!! ! "

& & & & #& !!! &! !!! !!

!

&!

!"#$%&'&$!()*5!,!! $&82&7

$&1F42&1PQR27ESD81&T37&73TTF72&U&V3&57FE28&%&A&#!

!!

!"#$%&'&$!()67!,!! ./& #W&A&.Q?&$!@&A&.'&:&MK=N& 0/&7

$&?#@&A&!! !!! !

&

&/& $3&9F4X2EF4&812&RY3V8&U&13&7RXET7FSD8& 1/& $!?#@&A&#&&'(!)#)*&+)!

!!

!"#$%&'&$!()6(!,!!!

./& Z'+.&& 0/& [+",& &/& Z'+.&

1/& [+",& $/& [+",&84&YR4R73V& 2/& Z'+.&

8/& Z'+.& 9/& Z'+.& '/& Z'+.&

&& &

!"#$!"#%&'#()*%#%&+",&#,#'-.-#%&&

/01234567849&:&;2;&/<=>&

&&!"#$%&'()*%)+#,-&(%(&./0,1'+%)23&&

)

))45%+616%)278)3))) 89& !"#!!!"

$ " %! & " ' &

!"#!!$% " & ! ' ! "" %%&(((' &

29& !"#!!$% " & ! ' ! $ &

!"#!!!"

$ " %! & " $''' &

&

& :9& !"#!!$

"% " & !' ! ()(%*+,"(" &

!"#!!$

!% " & !' " ( &

!"#!!$% " & ! ' ! ()(%*+,"(" &

;9& !"#!!$

"% " & ! ' ! ( &

!"#!!$

!% " & ! ' " ( &

!"#!!$% " & ! ' ! ( &

&

) <9& !"#!!"#

$ " %! & ! "' &

!"#!!!"

$ " %! & " ' &

!"#!!$% " & ! ' ! "" &

=9& !"#!!"#

$ " %! & ! "# &

!"#!!!"

$ " %! & " !" &

& !"#!!$% " &!' !(""(&??&4@4&5A9B4B&??&

&)

))45%+616%)272)3))!)

89&=CDEF& 29&!" & :9&D& ;9&4@4&5A9B4B!&)

))45%+616%)27:)3))! !"#!!$

"" %!& !'C& !"#

!!$!" %!& &4@4&5A9B4B&C& !"#

!!$" %!& ! ' "(!

&)

))45%+616%)27;)3))!)

89& #G&H&.'&:&IJE&K&JF&K&JL&K&D&K&MN&29& OA7@1&H&IJP&K&JD&K&J=&K&FN&:9)!

"! !"#!!"

"$ # % ! & & !"#

!!"!$ # % ! & & !"#

!!"$ # % ! & & -373Q2A7B12BRS81&

J!& & & /& +TU&84&#&H&/&

JE& <& <& <& V7@S&84&WJE&K&<X&

JF& J!& J!& J!& +Y&84&$&H&JF&

JL& =& =& =& V7@S&84&WJL&K&=X&

J/& J/& J/& J/& +SQS48&

<& L& L& L& +SQS48&

D& P& /& *@4&5A9B4B&V7@S1&84&WD&K&PX&82&

WD&K&/X&

M& J!& Z!& *@4&5A9B4B& +Y&84&$&H&M&

Z!& & & D& +TG&84&#&H&D&

&)

))45%+616%)27<)3))!)

89& #GW&%!X&H&.'& =<& 29& #GW&%!X&H&.'& M&

:9& #GW&%!X&H&.'& JD& ;9& #GW&%!X&H&[JP&K&P\& D&

<9& #GW&%!X&H&.'& JD6P& =9& #GW&%!X&H&.'&:&IJ/N& =6P&

>9& #GW&%!X&H&.'&:&IJD&K&LN& =6M& ?9& #GW&%!X&H&.'&:&I]DN& >6/&

@9& #GW&%!X&H&.'&:&I/&K&DN& JL& 8A9& #GW&%!X&H&.'&:&IJD&K&J=N& =6/&

889&#GW&%!X&H&.'&:&I]/N& =6L& 829& #GW&%!X&H&.'&:&I/&K&LN& J=6/!

&)

))45%+616%)27=)3))!)

89& #GW&%!X&H&.'&:&IDN& Z!& ^SB1&J!&

29& #GW&%!X&H&.'&:&IJ/N& Z!& ^SB1&J!&

:9& #GW&%!X&H&.'&:&I=N& J!& ^SB1&Z!&

;9& #GW&%!X&H&.'&:&I=N& &&JL& ^SB1&&&JL&&&'(!)*"+',!-*./!,01.!23!

Page 4: Bienvenue sur JAVMATH an sol anc.pdf · Created Date: 6/30/2019 12:49:42 PM Title: Untitled

!"#$!"#%&'#()*%#%&+",&#,#'-.-#%&&

&

/01234567849&:&;2;&/<=>&

!!

!

!!"#$%&'&$!()*!+!!! ,-& #?@&"!A&B&.'C

& D/& (-& #?@&"!A&B&.'&:&ED=F& /&

.-& #?@&"!A&B&.'&:&EDG&H&DIF& J& /-& #?@&"!A&B&.'&:&EDG&H&DIF& <&

0-& #?@&"!A&B&.'&:&EDG&H&DIF& 4K4&5L9M4M!&

!!

!!"#$%&'&$!()1!+!!!!

!"#!!$$

"%" &!' &B&=N<=&&&N&&&& !"#

!!$$!%" &!' &B&=N<JG&&&N&&&& !"#

!!$$%" &!' &4K4&5L9M4M!

!!

!!"#$%&'&$!()2!+!!!!

,-& #?@&"!A&B&.'&:&E=F& I& (-& #?@&"!A&B&.'&:&ED=F& D=&

.-& #?@&"!A&B&.'&:&E/F& O!& /-& #?@&"!A&B&.'&:&E=&H&GF& 4K4&5L9M4M!

&!

!"#$%&'&$!(),3!+!!!

,-& #?@&"!A&B&P<&H&Q!P&D&EJF& =6J& (-& #?@&"!A&B&P<&H&Q!P&D&E=F& =6/&

.-& #?@&"!A&B&P=6/&H&Q!P&D&EGF& I& /-& #?@&"!A&B&.'C

& /&

0-& #?@&"!A&B&PD/&H&Q!P&D&E/F& =6J& 4-& #?@&"!A&B&PDR&H&Q!P&D&E/F& D=6S!

&!

!"#$%&'&$!(),,!+!!!

=6/!

&!

!"#$%&'&$!(),(!+!!!

,-& D=& (-&/<& .-& D!& /-&<!

&!

!"#$%&'&$!(),.!+!!!

,-& /6I& (-&<& .-&=6/& /-&=6/& 0-&<& 4-& D/!

&!

!"#$%&'&$!(),/!+!!!

,-& D!& (-&Q!& .-&=& /-&/6G!

&!

!"#$%&'&$!(),0!+!!!

,-&T3&U78VMW78& (-&T3&58XYMWV8& .-&T3&U78VMW78!

&!

!"#$%&'&$!(),4!+!!!

,-&+Z&84&#!B&O&I& (-&+Z&84&#&B&D/&&82&&#&B&G&

.-&+Z&84&#&B&D=&&82&&#&B&I& /-&.T&4[\&3&U31&5[+Z&V3M1&X4&27KX!

!!

!"#$%&'&$!(),*!+!!!

,-&+]&84&$&B&<& (-&+]&84&$&B&/& .-&+]&84&$&B&=!

!!

!"#$%&'&$!(),1!+!! & 56!$7! 58!$7!

! ,-& #&B&<& $&B&#&

! (-& #&B&=& $&B&#&:&=&

! .-& 3X^X48& $&B&#&

! /-& #&B&G& $&B&D/#!Q&G&

&!

!"#$%&'&$!(),2!+!!!

!&_& "&`& #&#& $&+& %&?& &&-!

&!

!"#$%&'&$!()(3!+!!!

%&B&D/&H&&&B&J&H&'&B&=&H&(&B&DI!

&!

!"#$%&'&$!()(,!+!!!

,-&"R& (-&"=/& .-&"=& /-&"G& 0-&">& 4-&"a&

*-&"I& 1-&"=<& 2-&"/& ,3-&"J& ,,-&"==& ,(-&"S!

&!

!"#$%&'&$!()((!+!!,-& ! !"" !

#$%&'()*+,*+,*-./+ ! +0+*1+'$'+,232425%*+#6.+!"78"

" " 8& &

(-& ! !"" !#"

" "$& .-&.VUK11MbT8!

& !

!"#$!"#%&'#()*%#%&+",&#,#'-.-#%&&

/01234567849&:&;2;&/<=>&

!"#$%&'&$!()(*!+!!%?&!&@&<& +A&84&"&@&BC&

+A&84&"&@&C&

+A&84&"&@&BC&

+A&84&"&@&BC&

+A&84&"&@&BC&

+D&84&#&@&<&

! %?&!&@&=& +D&84&#&@&<&

! %?&!&@&/& +D&84&#&@&=&

! %?&!&@&C& +)&84&#&@&"&

! %?&!&E&C& F31&58&+D&82&F31&5G+)&

&!

!"#$%&'&$!()(,!+!$!

%8HI81&I81&/&81JH?1181&1K42&F7KFK1L81M$&

& -.&

&

/.&

&!!

!"#$%&'&$!()(0!+!$!

%8HI81&I81&/&81JH?1181&1K42&F7KFK1L81M$&

& -.&

&

/.&

&!!

!"#$%&'&$!()(1!+!$-.& ! ! " " !

!# " #

! " " $"!" ! #"& /.& ! !"" ! " "

" !#

"!" " $"!"%" $"

$" " !#

"!" " $"$

!!

!"#$%&'&$!()(2!+!$!

%&@&=&&&N&&&&&@&O/&&&N&&&'&@&<$

!& &

!" !# !$ $ # "

!"

!#

!$

$

#

"%&'()'!'*'!$+#"

%,'()'"'*'-

!

"

#$%&'%!(")*

+*

*

,-

,*

+. +/ / .

#0%&'%"(,

!

"#$%&$!'()*

"+$%&$,'-).

/012

012

013

-1(

-14

,

/2 /( ( 2 !

"#$%&$'()

*)+,

)+,

)+-

.+/

.+0

'

*, */ / ,

"1$%&$!()

Page 5: Bienvenue sur JAVMATH an sol anc.pdf · Created Date: 6/30/2019 12:49:42 PM Title: Untitled

!"#$!"#%&'#()*%#%&+",&#,#'-.-#%&&

&

/01234567849&:&;2;&/<=>&

&&!"#$%&'()*%)+#,-&(%(&./0,1'+%)23&&)

))45%+616%)278)3))!)

?81&1@?A2B@41&187@42&CA81&8418DE?8!

&

&)

))45%+616%)279)3))!)

?81&1@?A2B@41&187@42&CA81&8418DE?8!

&

&)))45%+616%)272)3))! 0:&<& ;:&=/& 6:& !

"& *:&F&GH7ICB1BE?8&4@4&JJK&

%:&L/&82&4@4&5I9B4B&GM9N&#OK!& &

&)

))45%+616%)27<)3))!)

0:& !!!" !#" " ## " #& ;:& !!!" !#" " #& 6:& !!!" !#" " "## # $ &

*:& !!!" !#" " "#

#$& %:& !!!" !#" " # &

=:& !! !"" !#

$ "&@A&DB8AP& !! !"" !

"

#"!

)))

))45%+616%)27>)3))! 0:& !! !"" !"#

$" "&@A&DB8AP& !! !"" !

" "

#"#&

;:&LQ&

6:&"&R&LQ#&S&F!&

)))45%+616%)27?)3))! !!!" !#" "

"#

#$&&!&&$&R !!!" !"# " "$%"&&!&&

! ! !!"#" " #

$%&&'($%)(*#(+ (#,("###$#&!&&"&R&L=6F#&S&Q!

& &

!"#$!"#%&'#()*%#%&+",&#,#'-.-#%&&

/01234567849&:&;2;&/<=>&

&&!"#$%&'()*%)+#,-&(%(&./0,1'+%)23)&)

))45%+616%)278)3))))

!

!

"#$%&'(%)#*! +,-.%/-0.!01+)#./.!.)#(!+)..%2,/.3!4/5'#$/675)%!.%!8)-.!'8/6!-#!$)-(/3!)

89&& 9&?@:A&B&C& :9&&9&?@:A&B&D/(E& ;9&&9&?@:A&B&F ! :G& 29&&9&?@:A&B&/':&

<9&& 9&?@:A&B&!

" !

&&HI&JK8IL&&9&?@:A&B&! !

"!& =9&&9&?@:A&B&

!

"!#$"&

>9&& 9&?@:A&B&!!

!"&

?9&& 9&?@:A&B&!!

!"&&HI&JK8IL!9&?@:A&B&

!!

! !&&HI&84MH78&JK8IL&&9&?@:A&B&

! !

!!

&&

&

@9&& 9&?@:A&B&!

"# !$"&&HI&JK8IL&&9&?@:A&B&

! !!"

"!#

&

8A9&&9&?@:A&B&/@5&:&=A:& 889& 9&?@:A&B&<&

&

))45%+616%)27:)3)))))

!

"#$%&'(%)#*! +,-.%/-0.!01+)#./.!.)#(!+)..%2,/.3!4/5'#$/675)%!.%!8)-.!'8/6!-#!$)-(/3!&

89& 9!@:A&B&=F:/& :9& 9!@:A&B&!

"!"

&

;9& 9!@:A&B&!

"!"#!&B&! !

"

"& 29& 9!@:A&B&!

!

!!

&)

))45%+616%)27;)3)))))

!

)

"#$%&'(%)#*! +,-.%/-0.!01+)#./.!.)#(!%#$%;-1/.3!",!9'-(!+01910/0!&/,,/.!;-%!.)#(!.)-,%<#1/.!

=5%./!'-!5>5/!$1#)5%#'(/-0?!9'&()0%.1/.?!@A!&

89& 9&?@:A&B&C& :9& 9&?@:A&B&N:&:&/&

;9& 9&?@:A&B&>:/&:&/& 29& 9&?@:A&B&'&

<9& 9&?@:A&B&! ! !"

!!&B&! !

" ! "

!!

& =9& 9&?@:A&B&!! !!

!!&B&!!

"! !

"!&

>9& 9&?@:A&B&!!

!"! "&B&

!!! !"

!!

& ?9& 9&?@:A&B&!!

!"!"

!#&B&

!! ! !

!"&

@9& 9&?@:A&B& !!"

!!#&B&!" ! !#$! "! !#$

"! %&8A9& 9&?@:A&B&/3:&O&2!

&

))45%+616%)272)3)))))

!

"#$%&'(%)#*!+,-.%/-0.! 01+)#./.! .)#(! +)..%2,/.3! B#! +'0(%&-,%/0?! 8)-.! +)-8/6! &C)%.%0! ,/!

$/0#%/0!(/05/!.)-.!,'!9)05/!$D-#!#)520/3!&

89& 9!@:A&B&!

"!"!" ! ! "#$% & :9& 9!@:A&B& !

!

! !"! "#$% &

;9& 9!@:A&B& !! !"

!! "#$% & 29& 9!@:A&B&

!

"! # !

$!

&O&#20/!

& &

Page 6: Bienvenue sur JAVMATH an sol anc.pdf · Created Date: 6/30/2019 12:49:42 PM Title: Untitled

!"#$!"#%&'#()*%#%&+",&#,#'-.-#%&&

&

/01234567849&:&;2;&/<=>&

!

!!"#$%&'&$!()*!+!!!!!

!

!

"#$%&'(%)#*!+'!,-.)#/0!0/(!'((0#$10!/)1/!1#0!2),30!2'&(),%/-04&&

,-& 2&?@5A&B&/@/5&:&CA@C5&D&/A& .-& 2&?@5A&B&/@5&D&EA&

/-& 2&?@5A&B&!

"# ! ! $ %& (-& 2&?@5A&B&

!!

"# ! ! $ %&

*-& 2&?@5A&B&!!"!

#! #!

!!$%

"! ! !%!

& 0-& 2&?@5A&B&/@C5&:&FA&

1-& 2&?@5A&B&!! ! " ! ! ! ! !#

"$"! !%& "& 2-& 2&?@5A&B&EG5C&:&GE5/&:&C<5&D&CF!

&!

!!"#$%&'&$!()0!+!!!!!

!

,-& 2&?@5A&B&=<@/5&D&EAE& .-& 2&?@5A&B&!"! "!#! $ &

/-& 2&?@5A&B&!! !"

!!#! #! !$

&&HI&&JK8IL&&!"! !#$ "!

%! %! !&

"!%! %! !&

&&&M73KJ842&&NOP6&

(-& 2&?@5A&B&!

"#! !$%"

! !$

&! ! "&&HI&JK8IL&&2&?@5A&B&

! "! !#$"%! ! &$

&"! !#$&"%! ! &$

&

*-& 2&?@5A&B&Q5@5&:&=A/@5&D&=A/& 0-& 2&?@5A&B&! ! !"#! ! ! "#!! " ! $#

"! %&

1-& 2&?@5A&B&P@5&:&=A/@5&D&/A@F5&D&EA& 2-& 2&?@5A&B&! ! !"# $ ! ! ! %#

! ! !"# &&

3-& 2&?@5A&B&!! !"

! #! !$%#! ! !%&&HI&JK8IL&&2&?@5A&B&

!"! !#$ !! !%$!! ! "$

"!! !%$!! ! "$ &&

&

,4-&2&?@5A&B&!" ! !#$ % !& ! ! "#$

!% ! ! "$ "!

&

!!"#$%&'&$!()1!+!!!!!

!

,-& 2!@5A&B&@5/&:&=AF&D&#6,0& .-& 2!@5A&B&@E&:&5AC&D&#6,0&

/-& 2!@5A&B&!

!! "#$% &&HI&JK8IL&&2!@5A&B&

!

!! "#$% &&&

(-& 2!@5A&B&@5/&:&=A/&D&#6,0!

!

!

&

&

& &

!"#$!"#%&'#()*%#%&+",&#,#'-.-#%&&

/01234567849&:&;2;&/<=>&

!!!!"#$%&'&$!()*!+!!!!!

!

!

,-&#?@&"!A&B&.'& "&C@#A&B&#&:&D& .-&#?@&"!A&B&.'& "&C@#A&B&/@#&E&=A&&

/-&#?@&"!A&B&.'& "&C@#A&B&FD@G&:&#A/& (-&#?@&"!A&B&.'& "&C@#A&B&G#@D#/&E&=A&

0-&#?@&"!A&B&.'& "&C@#A&B&D@#&E&=A@#&:&=A& 1-&#?@&"!A&B&.'& "&C@#A&B&/$%#&E&$&&E&'%&

2-&#?@&"!A&B&.'& "&C@#A&B&=<@/#&:&=A/&@#&E&=A@#&E&/A&

*-&#?@&"!A&B&.'H

& "&C@#A&B&!!

"!& 3-&#?@&"!A&B&.'&:&IF=J& "&

C@#A&B&!" ! !#$

"! !%$ &&

,4-& #?@&"!A&B&.'&:&I=J& "&C@#A&B&!!

" ! !#$ %!

!!

!

!

,,-& #?@&"!A&B&.'&:&IF=J& "&C@#A&B&!! "!! ! #$

" ! !%$!&

,.-& #?@&"!A&B&.'&:& !!

"! "& "&C@#A&B&

!" ! #$

!$% ! ""#&

,/-& #?@&"!A&B&.'& "&C@#A&B&!

"# !$"&&KL&MN8LO&&"&C@#A&B&

!!

!"!&

,(-& #?@&"!A&B&.'& "&C@#A&B&!!

!!"

!!!"&&KL&MN8LO&&"&C@#A&B&

!"!"!#$ !

"!#

!"!#

&

,0-& #?@&"!A&B&.'&E&:&I=J& "&C@#A&B&!

! !! !! ""&KL&P73NM842&Q8L&1RMQ32SNTL8&U

&

&

,1-& #?@&"!A&B&.'&E& "&C@#A&B&! ! !"

# ! ! ! !! "&82&NVNW!

&

&

&

&

!

!!!"#$%&'&$!()3!+!!! ,-& (&B&FX#&:&Y& .-& (&B&!!

"! ! #$& /-& (&B&

!

"! !

!#

"!

&&

&

&

!

!!"#$%&'&$!(),4!+!!!!

+L&QKN42&!!!

"#$#%

&

"!

#!$!

%!

&!'!!

&

& &

Page 7: Bienvenue sur JAVMATH an sol anc.pdf · Created Date: 6/30/2019 12:49:42 PM Title: Untitled

!"#$!"#%&'#()*%#%&+",&#,#'-.-#%&&

&

/01234567849&:&;2;&/<=>&

&

!!"#$%&'&$!()**!+!!! 84&"&?&/@& ABCDE32FG4&58&A3&2H28&I&#&?&J"&:&=<& 84&$K/&L&MNO&GE&

84&"&?&MN6J@& ABCDE32FG4&58&A3&2H28&I& ! ! !"""!#

"$& 84&! !

!

"#$ #

%&&

&'! " !&

&

&

!

!!"#$%&'&$!()*,!+!!!!

+EP&QGF421&! ! "#"$

%

!!

"!#!

$!

%!&!&&&82&&&! !! "#" !

$

%

"!

#!$!

%!

&!'!!

&

&

&

!!"#$%&'&$!()*-!+!!!!

%&?&J!

&&

!!"#$%&'&$!()*(!+!!!!

*.&&)EF@&A3&RFSA8&4TN& ,.&&*G4!

&

&

!!"#$%&'&$!()*/!+!!!!!

&'()*%+),'-!&.!/0%1)+!(2!34/,5(32!5'!/#/+672!(2!8!495%+),'/!:!8!)'*,''52/)!

*.& ;!K"O&?&!

"

!#!$

"

! ! " & ,.! ;!K"O&?&U"/&:&J"&V&/!

&

&!

!!"#$%&'&$!()*0!+!!!!!

!

!

*.& <T&&3E&QGF42&<K<&L&<O& W@=JT&&3E&QGF42&=K=&L&=O&

,.& JU@UNT&&3E&QGF42&<K/&L&=O& NUT&&3E&QGF42&=KX&L&>O&

-.& <T&&3E&QGF42&<KM/&L&M=JO& U/@>NT&3E&QGF42&=K=6J&L&MW6/YO&

(.& YU@>XT&&3E&QGF42&<K<&L&<O& X@>=T&&3E&QGF42&=K/&L&<O!

&&

!

!!"#$%&'&$!()*1!+!!!!!

*.& ! ! !!

!""

" !

!&

&

,.& )4&E2FAF18&DE8&1F&Z&[&Z\&?&M=&3AG71&A81&57GF281&1G42&!&&&

-.& 0]Z81&5CZ37R^81!& &

!"#$!"#%&'#()*%#%&+",&#,#'-.-#%&&

/01234567849&:&;2;&/<=>&

&&!"#$%&'()*%)+#,-&(%(&./0,1'+%)23)&

))45%+616%)278)3))& On obtient approximativement le graphique suivant:

&&)

))45%+616%)279)3))!)

?& $8&@73AB8&58& !!!" &CD7781AD45&E&FG81HIJ118&4K&!&

?& $8&@73AB8&58& !!!"&CD7781AD45&E&FG81HIJ118&4K&"!

&

)))45%+616%)27:)3))&

))

8;&

&

)0J4&L=6M&N&==6MO&

&

&

) )9;)

&

03P&LQ=&N&=RO&

0J4&LS&N&Q=<TO&

&

)) )

:;)

&

'8AF32&LQ/&N&<O&

03P&L=&N&=<RO&

0J4&LM&N&<O&

&

) )<;)

&

&

&

&

&

&&

&

&

) )2;)

&

03P&LQU&N&Q=/O&

0J4&L=&N&<O&

&

&

) )=;)

&

0J4&LQ=&N&Q=6/O&

03P&L=&N&=6/O&

& &

!" !# !$ !% !& & % $ # "

!"

!#

!$

!%

!&

&

%

$

#

"!

"

!#$#%&'"(

!"!!"##

$%&

'( )

*+,

!"!"#$#%

&'

( !)

*+,

-

(

*./

!"#

$ !

%&'()*

+

$

,-.

!/

$

,)0

12!"34#5

!"

#$%

#&!"'(#)

!"

#$

"

%

!

&'(

#)

&*+

,,

-.

/!"01#2

!"

# $%

&'(

"

#

&)*

%+!",-#.

Page 8: Bienvenue sur JAVMATH an sol anc.pdf · Created Date: 6/30/2019 12:49:42 PM Title: Untitled

!"#$!"#%&'#()*%#%&+",&#,#'-.-#%&&

&

/01234567849&:&;2;&/<=>&

!!"#$%&'&$!()*!+!!& ,-&

&

?&#@A&!"B&C&.'&

?&DE7F1&84&#&C&GH6I&&82&&#&C&<&

? !!!" !#"&C&=/#I&J&=/#/&

?&0K4&AG=&L&G=B&

?&'8MN32&A<&L&<B&

?&)75O&F7KPK48&84&$&C&<&

&

&

&

! .-!

?&#@A&!"B&C&.'&

?&DE7F1&84&#&C&G=&&&

&&82&&#&C&=6/&

? !!!" !#"&C&=/#/&:I&

?&03Q&AG=6/&L&/B&

?&0K4&A=6/&L&<B&

?&)75O&F7KPK48&84&$&C&=!

&

&

&&

! /-!

?&#@A&!"B&C&.'&&:&RG=S&

?&DE7F1&84 ! ! !!" "# &

?&+T&84&#&C&G=&

?&+)&84&$&C&#&J&==&

?&!! !" !"#$

! "%&

?& !!!" !#"&C&!! ! ! ! ! !"

#! !$% !&

?&)75O&F7KPK48&84&$&C&G=U!

&

&

&

! *-!

?&#@A&!"B&C&.'&&:&RG=S&

?&+T&84&#&C&G=&

?&+)&84&$&C&#&

?&!!!" !#

! "#&

?& !!!" !#"&C&!! ! ! !

" ! !#$!&

?&0K4&A<&L&=BV&03Q&AG/&L&GIB&

?&)75O&F7KPK48&84&$&C&=!

&& &

!

"

#$

$

%

&

'

(

)

#% #$ $

!

"#

#

$

%

&

'

(

)' "# "*)' *)' # #)' +

!

"#$

"%$

"&$

&$

%$

"&% "' "( ( ' &% )

!

"#

"$

$

#

%& "$ "' "( ") ) (

!"#$!"#%&'#()*%#%&+",&#,#'-.-#%&&

/01234567849&:&;2;&/<=>&

! "#!

?&#@A&!"B&C&.'&&:&D/E&

?&FG7H1&84&#&C&=&82&#&C&I&

?&+J&84&#&C&/&

?&+K&84&$&C&=&

?&!! !" !"#

! ! "$"$&

?& !!!" !#"&C&!

" ! !!# $&

?&)75L&H7MNM48&84&$&C&I6O!

&

&

! $#!

?&#@A&!"B&C&.'&&

?&FG7H1&84&#&C&<&

?&+)&84&$&C&#&

?!!!" !#!

!$"%&

? !!!" !#"&C&!!

"! #$

"

!!"!%$

"&

?&'8PQ32&AR ! S&RI ! B&

?&'8PQ32&A ! &S&I ! B&

?&)75L&H7MNM48&84&$&C&<!

! %#!

?&#@A&!"B&C&.'&:&D/E&

?&FG7H1&84&#&C&R=&

?&+J&84&#&C&/&

?&+)&84&$&C&#&T&U&

?&!!!" !#$!! "%"

!# " !"#&

?& !!!" !#"C&!!! ! "#!! !$#

%

!% ! !#&

&

?&'8PQ32&AR=&S&<B&

?&0M4&AV&S&V=6OB&

?&)75L&H7MNM48&84&$&C&=6O!&

&!!&'()*+*(!","!-!!& "48&34MW32MH4&X8HX8Y73&812&Z&[H278&5M1PH1M2MH4&1\7&]]]L^3[W32_L`_&

&!!&'()*+*(!",$!-!!&

& &&

! .#! /#!& &

!

"

#$%

#&

#'

#(

#)

)

(

#$ $ ) * (

!

"#$

"%

"&

"'

"(

(

'

&

%

"& "' "( ( ' &)

!

"#

#

$%

$#

&%

&#

"' "( ") ) ( ' $&

*

!"

!#

#

"

$

%

&

'

!# # " $

!"

!#

!$

$

#

"

!% !" !# !$ $ # " %

Page 9: Bienvenue sur JAVMATH an sol anc.pdf · Created Date: 6/30/2019 12:49:42 PM Title: Untitled

!"#$!"#%&'#()*%#%&+",&#,#'-.-#%&&

&

/01234567849&:&;2;&/<=>&

!

& &&

! "#! $#!

&!

&&

! %#!

&!

!!&'()*+*(!%,-!.!!& /#&#?@&!"A&B&.'&C&D& &D&EF7G1&84&#&B&HI&82&#&B&I&

& +J&84&#&B&<&D&+K&84&$&B&=&D& &D&4L&ML4N&4L&M3OP&

&

0#&#?@&!"A&B&.'&:&QHR&D&/S&D& &

& EF7G1&84&#&B&HTN&#&B&<&82&#&B&=<&D&+J&84&#&B&HR&82&#&B&/&D&

& +K&84&$&B&H=&D&&& &D&0L4@H=/&D&H=NRA&

&!

!!&'()*+*(!%,1!.!!& /#&#?@&!"A&B&.'&:&QHT&D&HI&D&IS&D& &

& EF7G1&84&#&B&<&D&+J&84&#&B&HTN&#&B&HI&82&#&B&I&D&+K&84&$&B&<NR&D&&

&D&

&

0L4@HU&D&<NVA&D&0L4@V&D&<N/RA&

&

0#&#?@&!"A&B&.'&:&Q/S&D& &D&&

& EF7G1&84&#&B&H=&+J&84&#&B&/&D&+)&84&$&B&#&W&X&D&&

& &D&0L4@TD&/<N/A&

& &

!"

!#

#

!" !# #

!"

!#$%

#$%

"

!& !' ' &

!"

!#

#

"

!$# !% % $#

!

!

"

!

#"

$% %$!!"!&#'

!"#$%%

&

'(

!

"#

$% $

"&

! %

' (!

$ %!"!)#* !

!

!"!#$

%&'())

$

*(+ ,- ,-

.

!

"#

$

"%

$$ &

!

$

%

!!"!'#(

!

"# "$ "%

!

! % &

'()*++

,-

!,-,- .*/ .*/(01234

!" #

$ %& %!!"!'#(

!"#$

%&'())

*

&+,-./ 01 2(3

4 4

!"#$!"#%&'#()*%#%&+",&#,#'-.-#%&&

/01234567849&:&;2;&/<=>&

&&!"#$%&'()*%)+#,-&(%(&./0,1'+%)23)&

))45%+616%)2783))&)

09& (?7@A58&58&B!&82&C48&3DEF@2C58&58&/&&

&:9&(?7@A58&58&/!&82&C48&3DEF@2C58&58&=&&

&69& (?7@A58&58&G!&82&C48&3DEF@2C58&58&H&&

&&

&& &

!! " ! #! $! %! &!

!#

!'

'

#

!

"

! ! "!

#$

$

!

"

!! " ! #! $! %! &!

!$

!#

!'

'

#

$

!

"

Page 10: Bienvenue sur JAVMATH an sol anc.pdf · Created Date: 6/30/2019 12:49:42 PM Title: Untitled

!"#$!"#%&'#()*%#%&+",&#,#'-.-#%&&

&

/01234567849&:&;2;&/<=>&

!!"#$%&'&$!()*+!!&!

& 9?4@2A?41& BC7A?58& 3DBEA2F58& G73BH8& !

!" /!& =& !& !

#" /!6I& /& "& !

$" J!& =& #& !

%" /!6I& /& $&&

!!"#$%&'&$!(),+!!&!

K341&2?F281&E81&7CB?4181&58&@82&8L87@A@8M&&&!& &!

-.& !! "#$"# ! !%&$"! "" #'$"# ! !%&$"! " &/.& !! "#$%%"# ! !#&'"! "" #($)*"# ! !#&'"! " &

&.& !! !"#$%&"# ! "'(%"! " &

0.& &%&N&"&

$.& !! "#$% &#"# ! !'()"! " &

1.& !! !"#"# ! "$"#"! "# %#"# ! "$"#"! " &

&

!!"#$%&'&$!()2+!!&!

K341&2?F281&E81&7CB?4181&58&@82&8L87@A@8M&&&!& &!

-.& !!"!

#$" ! "$!! "# $!

#$" ! "$!! " ! /.&!!

"!

#" ! ""!! "# ! ""!! " &

&.& !!!""

#$" ! # "! "$ "

%" ! # "! " & 0.&!!

!

"" ! "

!

#! "# ! "!

#! " &$.& !!

!

"" ! "

!

#! " & & 1.& !!!"

"" ! #""! " &

&

!!"#$%&'&$!()3+!!&!

K341&2?F281&E81&7CB?4181&58&@82&8L87@A@8M&&&!& O&'%"()*+,"+-.)/0,"/,"1)++,0.)/2".30",431*,5,/*"6"1,77,".+).)0-,8"%7",0*".+)9397,":;,"73"

(<*+,"0)%*"-:;%(37,/*,8"53%0"!)+5;7-,"0);0";/,"3;*+,"!)+5,=&!

-.& !! ! !""! "# "" ! !""! " &&?F&58&93P?4&BEF1&1Q42HC2ARF8&&!! ! ! "! " &

/.& !!"!

#" ! "$!! "# !

#" ! "$!! "# %!

#" ! "$!! "# $!

#" ! "$!! " &?F&

& 58&93P?4&BEF1&1Q42HC2ARF8&&!!!

"" ! " !! "# #!

"" ! " !! " &

&.& !!!

"" ! " !! "# $!

"" ! " !! " &

0.& !!"!

#" ! ""!! "# !

#" ! ""!! "# $!

#" ! ""!! "# $!

#" ! ""!! " &?F&

& 58&93P?4&BEF1&1Q42HC2ARF8&!!!

"" ! " !! "# #!

"" ! " !! " &

$.& !!!

"" ! " !! "# $!

"" ! " !! " &

1.& 82&1A&S?F1&@?DB37A8T&@8228&CRF32A?4&U&E3&B7C@C58428&VV&&& &

!"#$!"#%&'#()*%#%&+",&#,#'-.-#%&&

/01234567849&:&;2;&/<=>&

!!"#$%&'&$!()(*!!&!

?341&2@A281&B81&7CD@4181&58&E82&8F87EGE8H&!&!& &!

+,& !! "#$"# ! !%&$"! "" %$"# ! !%&$"! " &

-,& !! "#"# ! !$"#"! "" #"#"# ! !$"#"! "" ! !$"#"! " &

&,& !! !"#"# ! "$%&"! " &

&

!!"#$%&'&$!().*!!&!

?341&2@A281&B81&7CD@4181&58&E82&8F87EGE8H&!&!& &!

+,& ! ! "#$" # ! ! #%&"! "" '$" # ! ! #%&"! "" (($" # ! ! #%&"! "" #'$" # ! ! #%&"! "

& /0!1'$0#!222&!! "#"# ! !$%"! " &!

-,& !! "#"# ! !"$#"! "" %&#"# ! !"$#"! "" #'#"# ! !"$#"! " &

& /0!1'$0#!222&!! "#"# ! !$%#"! " &&

&,& !! "#$%#"# ! !&'("! "" #&%$#)"# ! !&'("! " &

&

!!"#$%&'&$!()3!*!!&!

+,! !!!" !#" "&E@1I"J&:&1G4I"J& -,! !!!" !#" " # #$%&!#"" # &'(!#"# $&

&,! !!!" !#" "&K1G4I"J&:&/234/I"J&:&/& 4,! !!!" !#" "# " #$%!#" # &'#!#"

#(&'#!#"# $

(&

$,& !!!" !#" "#

$%&!#"##&

5,& !!!" !#" "#$%!#"# &'#!#"# # #$%!#"" # &'#!#"

(#$%!#"&'#!#"#)&

&

!!"#$%&'&$!()6!*!!& .B&1L3MG2&58&E3BEAB87&!"#$!%

&'!$!%

!

"#

$

%&'&3N8E&B3&7OMB8&58&5C7GN32G@4&581&973E2G@41&

&

!!"#$%&'&$!()78!*!!&!

+,&#&P&"&:&!& -,&#&P&K"&

&

!!"#$%&'&$!()77!*!!&!

84&"&P&/!6Q&&&&82&&&&"&P&R!6Q&&$%&'()*+,-./01.2&(3+*+1,4.(%.5,45*,.34+6'7&

!

!!"#$%&'&$!()79!*!!&!

+,! !!!" !#" " # $%&!##"# $'% #& -,! !!!" !#" " "##$ %&' ### $ &

&,& !!!" !#" " "#$%& ## $ '($!#"# $)& 4,! !!!" !#" "

"#$% &' ## $#

% %() &' ## $&

&& &

Page 11: Bienvenue sur JAVMATH an sol anc.pdf · Created Date: 6/30/2019 12:49:42 PM Title: Untitled

!"#$!"#%&'#()*%#%&+",&#,#'-.-#%&&

&

/01234567849&:&;2;&/<=>&

&&!"#$%&'()*+,(*-.&"$,(/&'(,0)*"'&'&123)$.,&(45(&!

A t t e n t io n : C e s in d ic e s n e s o n t à u t ilis e r q u e lo rs q u e v o u s ê t e s c o in c é s e n c o u rs d 'e x e rc ic e o u q u e la r é p o n s e f in a le o b t e n u e n 'e s t p a s la b o n n e .

N e le s u t ilis e z p a s c om m e f ic h e -g u id e , v o u s r is q u e r ie z d e c o u rt -c irc u it e r le s d if f ic u lt é s e t a in s i n e p a s a c q u é r ir l 'a u t o n om ie

s o u h a it é e p a r c e t y p e d 'e x e rc ic e s .!!

&(

((67&,%$%&(489(5((!(

?& +@@8A87&"&A8&BC2D&581&B377D1&E&84A8F87&

?& )4&GH2I842&#J"K&L&"J=M&:&/"KJ//&:&/"K&

?& )4&GH2I842& !! !"" &L&NJO"/&:&N<"&P&>>K&82&Q2IAI187&A3&9G7RQA8&5Q&/SR8&&58T7D!&(

((67&,%$%&(48:(5((!(

?& +@@8A87&"&A8&@AQ1&@82I2&581&58QU&4GRH781&

?& )4&GH2I842&$J"K&L&"J"&P&=/K&

?& )4&GH2I842& !! !"" &L&/"&P&=/!&(

((67&,%$%&(48;(5((!(

?& +@@8A87&"&A3&A37T8Q7&5Q&@V2Q73T8&@87@845IBQA3I78&E&A3&7GQ28&

?& #4&284342&BGR@28&581&@7IUW&G4&GH2I842&!!"" ! #$$ " " " "%

"

!

"#

$

%&" &$$

%

"&

?& )4&GH2I842& !! !"" !#$$! %" " #"! %" " #"

"#

!!

&(

((67&,%$%&(48<(5((!(

?& (G187&%J"&X&<K&82&&J"&X&'K&

?& $3&Y3Q28Q7&5Q&27I34TA8&84&9G4B2IG4&58&"&(!!)&L& !! ! &

?& )4&GH2I842&%J"K&L&!

"! #! ! &@QI1& !! !"" !

#!$" ""

% &" "!

&((67&,%$%&(48=(5(((!

?& +@@8A87&"&A3&=6/&H318&5Q&78B234TA8&

?& $3&Y3Q28Q7&5Q&78B234TA8&1ZGH2I842&84&5D287RI4342&AZD[Q32IG4&58&A3&@373HGA8&

J1\12]&5ZD[Q32IG41K&&

?& )4&GH2I842&%J"K&L&^!

"!#!!! !

&(

((67&,%$%&(48>(5((!(

?& +@@8A87&"&A3&=S78&BGG75G44D8&58&$&&J1Q@@G18_^A3&@G1I2IF8K&

?& $3&Y3Q28Q7&5Q&78B234TA8&1ZGH2I842&84&BY87BY342&AZD[Q32IG4&58&A3&57GI28&%*`&

'&L&^/"&P&a&

?& )4&GH2I842&%J"K&L&^N"/&P&=/"!

&((67&,%$%&(484(5((! ?& +@@8A87&"&A3&=S78&BGG75G44D8&5Q&@GI42&$&BY87BYD&

?& $3&5I1234B8&1ZGH2I842&E&AZ3I58&58&(\2Y3TG78W& !!"" ! "#" !"

#! $"

# &&

?& (QI1& !! !"" !"!#" " $%"!#" " $%"

# "%"&'"

#"(&

!

&

((67&,%$%&(48?(5((! ?& +@@8A87&"&A8&73\G4&5Q&B\AI4578W&A3&Y3Q28Q7&5Q&B\AI4578&1ZGH2I842&E&AZ3I58&58&

A3&9G7RQA8&5Q&FGAQR8&5Q&B\AI4578]&

?& )4&GH2I842& !!"" !#!"

$"$%&

"&@QI1& !! !"" !

#""$#$%&

"'

!

&

& &

!"#$!"#%&'#()*%#%&+",&#,#'-.-#%&&

/01234567849&:&;2;&/<=>&

!

!!"#$%&'&$!()*!+!!! ?& #4& 8@A7BC342& A37& 73AAD72& E& "F& D4& DG2B842& !" ! !

"# & 82& H3& I3J28J7& 5J&

A373HHKHDL73CC8&M& !" #"! !$ &

?& )4&DG2B842&#N"O&M&! !"

!#!!! !"

#! &&&&AJB1&&&& !! !"" &M&! !"

#$! ! #!

$!

&!!"#$%&'&$!(),-!+!!!!

./& (D187&J4&1P12QC8&5RKSJ32BD41T&&

0/& ?&+AA8H87&"&H3&=Q78&UDD75D44K8&58&$%&

& ?&)4&DG2B842&#N"O&M&N"/&V&=ON/&:&"O&

& ?&(JB1& !! !"" &M&WX"/&V&Y"&:&=&

& ?&*8&A31&DJGHB87&58&78L37587&3J&GD75&5J&5DC3B48T!

&!!"#$%&'&$!(),,!+!!! ?& +AA8H87&"&H3&I3J28J7&58&H3&ZD48&BCA7BCK8T&

?& )4&DG2B842&#N"O&M& !! !"#$ %##

!! %! "! &&

?& (JB1& !! !"" &M&!!!"""

!#

!

&!!"#$%&'&$!(),1!+!!!!

?& +AA8H87&"&H8&4G78&58&ADB7B871&3[DJ2K1T&

?& '8458C842&M&N\<&V&"ONY]<&:&^"OT&.H&1R3LB2&5RJ48&9U2&5J&/QC8&58L7K&_! _F&

& 1D4&C3@&1RDG2B842&84 ! ! !"

!#T!

&!!"#$%&'&$!(),2!+!!!!

!!

?& +AA8H87&"&H8&73PD4&5J&U87UH8&58&G318F&&&H3&I3J28J7&5J&U`48T&

?& )4&8@A7BC8&H8&aDHJC8&84&9D4U2BD4&58&&&b&&

& 'N&O&M& !" !#$!%%" !

&' #! &AJB1& !! !"" ! "

# !$%%##"&" !

&!

!!"#$%&'&$!(),3!+!!!!

!!

./& ?&+AA8H87&"&H3&G318&5J&78U234LH8F&D4&DG2B842&'N"O&M& !!"#$!

%" !

#&! &

&

0/& ?&+AA8H87&"&H3&G318&5J&78U234LH8F&D4&DG2B842&#N"O&M&!!"#! " !$ % &&

&/& ?&+AA8H87&"&H3&G318&5J&78U234LH8F&D4&DG2B842&#N"O&M&!!"#! " $% !

%& &

& ?&#4&93B2&UDCC8&"&M&X<F&H8&78U234LH8&18&7K5JB2&E&J4&18LC842T!

&!!"#$%&'&$!(),4!+!!!!

?& +AA8H87&"&H3&HD4LJ8J7&58&H3&93U8&5J&58a342&5J&2B7DB7F&13&I3J28J7&M&/^<6"&

?& #4&284342&UDCA28&581&A7B@F&D4&DG2B842&$N"O&M&!"!#$%! !&""

!&&

?& (JB1& !! !"" &M&!"#!

$!%&&

!$

!

&!

!!"#$%&'&$!(),5!+!!!!

!!

?& +AA8H87&"&H3&I3J28J7&H3&AID2DF&(&:&/&H3&H37L8J7&58&U8HH8WUB&

?& #N"O&M&=<"&:&"/&

?& $3&9U2&E&DA2BCB187&812&5J&/QC8&58L7K&_! _F&1D4&C3@&1cDG2B842&84 ! ! !"

!#T!

&!

!!"#$%&'&$!(),(!+!!!!

!!

?& (7B@&58&78aB842& M&UDd2&81184U8&V&13H3B78&UI3J998J7&

& & & M&!" !#$$

!!!

%

"

#$

%

&'!&! &# !

!"$$

!

"

#$

%

&' &M&

!"#$$$

!!%$! &

& &

Page 12: Bienvenue sur JAVMATH an sol anc.pdf · Created Date: 6/30/2019 12:49:42 PM Title: Untitled

!"#$!"#%&'#()*%#%&+",&#,#'-.-#%&&

&

/01234567849&:&;2;&/<=>&

!

!!"#$%&'&$!()*+!,!!!!

!!

?& !! !"" ! #!!!!!#!!!"#

#$%&!'""! "! ! #!!!!#!!!

'"#

#()$!'"" ! # &

&

&!

!

!!"#$%&'&$!()*-!,!!!!

!!

?& !!!" ! #$!%&'!!" $!'()!!"!!!!!"!!! #! !!" ! # %&'#!!"$!'()

#!!"! " &

?& !! !"" ! #!!!!!#!!!$%&'!"" !() '!!!!*+!!!!,*$

'!"" !() '!! !!$-.*&/.0/$+1$23" &

&

&!

!

!!"#$%&'&$!()./!,!!!!

!!

!!!"#$%&'%!!(%! " )#*+,"-

!!."'/$'0%&'%! (" "1# 23#,"-

#$%

&%' #,"- " #*+,"-!4 1# 23#,"-! " &

?& !! !"" ! #!!!!!#!!!$%&!"" !'( )!!!!%*!!!!$%&!"" ! $' &

&

&!

&

!!!"#$%&'&$!().*!,!!!

!!!

!!!"#$%&$'()&!"!*&#!""$

%"

+

,-'%.!/

!!!"#$%&$'()&"&!*&#"&"$

%"01" + !23.!/

1

#

$

%%

&

%%

' #.!/ "+

,-'%.!/#01" + !23.!/

1&

&

?& !! !"" !#

$!%&'!"""

#(! "! "(

)()# # *+,!""! "! !

#!)'-,!""# $"

./%&'.!""

&

&

&!

!!!"#$%&'&$!()..!,!!!

!!!

!!!"#$%&$'()&!"!*&#!$"%

&"+,'%-!.

/

!!!"#$%&$'()&"' !*&#$""%

&"+!

+

"

#

$$

%

$$

& #-!. " /,'%-!.#! &

&

?& !! !"" ! #!!!#!!!" ! $ $ %!!&'()*+,*-./0(*123+.4'53.1*3.66" &

&

&!

!

!!"#$%&'&$!().0!,!!!!!!

&

(@A7&B3&C372D8&12E&1AF12D2A8G&"&C37&=<H&&

?& I@BAJ8& &K!!" #$%&!' &

?& I@BAJ8& &K!! "#$%!&$'(%!& &

?& !! !"" ! "#$%&

'!""# &()

'!""# '&()!""! " &

?& !! !"" ! #!!!#!!!$%&'$!""" $%&'!""$(! #!!)*+,%-./+0*1203*41*5-+6.40" &

&

&& &

!"#$!"#%&'#()*%#%&+",&#,#'-.-#%&&

/01234567849&:&;2;&/<=>&

&&!"#$%&'()*%)+#,-&(%(&./0,1'+%)23)&)

))45%+616%)278)3))!)

$81&?377@1&5ABC842&3CAB7&D4&?E2@&58&FG/H&?IJ!

&)

))45%+616%)279)3))!)

KFL!

&)))45%+616%)27:)3))! $81&5BI841BA41&1A42& ! "

"&MI&82&

!

"&MIJ!

&)

))45%+616%)27;)3))! "NL&O&<P&QAD7&D48&3B78&I3R&58&! !"!#J!

&)))45%+616%)27<)3))!

)

$81&5BI841BA41&1A42&! " &82&H6FJ!

&)

))45%+616%)27=)3))!)

$81&?AA75A44@81&1A42&#NF6/&O&<P&AD&#NKF6/&O&<PJ!

&)

))45%+616%)272)3))! $81&QAB421&1A42&#NK !"

#O&K !

"P&AD&#N

!"

#&O&K !

"PJ!

&)

))45%+616%)27>)3))!)

$8&73SA4&C3D2&LGTF&?I&82&U3&V3D28D7&C3D2&=FG<L&?IJ!

&)))45%+616%)27?)3))!

)

0@& $W3B78&812&I3RBIDI&QAD7&$&X&T6/J&A@& $A134Y8&QAD7&$&X&/T6==&N(%J&-AIQ378Z&U81&58DR&C3U8D71&A[284D81&\\P&

&)

)45%+616%)278B)3))!

)

0@& %&X&$/&]&=&&

A@& #N=&O&/P&82&U^3B78&I3R&C3D2&/&&/&

& #N<&O&=P&82&U^3B78&I3R&C3D2&/&&/&&N3D&[A75&5D&5AI3B48&\\P!

&))45%+616%)2788)3)!

)

$81&5BI841BA41&1A42&! "# ! ! &?I&82&!" !" !!" &?IJ!

&)

)45%+616%)2789)3)! .U&58C73&QU34287&=H&4ADC83DR&QAB7B871J!

&)45%+616%)278:)3)! '&X&TG__&?IJ&&)45%+616%)278;)3)))

)!

0@&U8&QUD1&Y7345&CAUDI8&QAD7&$&X&/<&?I&&82&&%&X&=<&?IJ&A@&U3&QUD1&Y73458&3B78&U32@73U8&QAD7&$&X&=T&?I&&82&&%&X&=T&?IJ&6@&U3&QUD1&Y73458&3B78&2A23U8&QAD7&$&X&F<&?I&&82&&%&X&<&?IJ!

&)

)45%+616%)278<)3)! $81&5BI841BA41&1A42&!" # &?IG&! ! &?I&82&`<&?IJ!

&)45%+616%)278=)3))

!$3&QU34?V8&58C73&a278&5@?ADQ@8&84&58DR&IA7?83DR&58&T&?I&

82&58DR&58&_&?IJ!

))45%+616%)2782)3)! A@&U3&CB28118&IAS8448&812&5^84CB7A4&_TGT&MI6VJ!)) )

Page 13: Bienvenue sur JAVMATH an sol anc.pdf · Created Date: 6/30/2019 12:49:42 PM Title: Untitled

!"#$!"#%&'#()*%#%&+",&#,#'-.-#%&&

&

/01234567849&:&;2;&/<=>&

!!"#$%&'&$!()*+!,!! $?34@A8&!&B&!6CD!!!"#$%&'&$!()*-!,!! $?34@A8&!&B&!6CD!!!"#$%&'&$!()./!,!! $?34@A8&!&B&!6EF&G3H1&812IJ8&K73HG842&L48&1L7M7H18&N!!!"#$%&'&$!().*!,!! $?34@A8&!& B& 1H4I=OC6PQ! <F>E& 735& ORL& PEF=ESQD& $8& MRH42& 5?3JJR123@8& 812&

1H2LT&U&E&VG&58&"#!!!"#$%&'&$!()..!,!! $?34@A8&!&B&!6W&JR7781MR45&U&L4&G3XHGLG&58&A3&9R4J2HR4&$O!QD&

$8&GH4&5RH2&5R4J&18&27RLK87&3L&YR75&58&#ZD&.A&1?3@H73&58&!&B&!6/D!!!"#$%&'&$!().0!,!! 12& ! !!" !#$$$!% !&'()!!"" '()!!")*+!!"" &1873&G3XHG3A&MRL7&[&

&

! ! !"#"$% "$

&

#

$%

&

'( &

&

32& ! !!" ! "#!$%&'!!"" %&'!!"'()!!"" 1873&G3XHG3A&MRL7&A8&

G\G8&34@A8&!D!

!&&