Complex Mathematical Equation with Variables and Operators - Prof. Jandelyn Dawn Plane, Exams of Discrete Structures and Graph Theory

A complex mathematical equation with various variables, operators, and symbols. The equation involves multiplication, division, addition, subtraction, and parentheses for grouping. The equation also includes constants and variables represented by letters and numbers.

Typology: Exams

Pre 2010

Uploaded on 02/13/2009

koofers-user-enk
koofers-user-enk 🇺🇸

9 documents

1 / 4

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
  
  !"$#&%
')(
*,+.-/+10
'32547618.9:
'
;=<>
?3@BADC$ADCE@GFCHFIE
*
'=JK'/LM;GJK'/LMNGJIOIOIOGJK'/LM;
<
JKOPOPO
>
(
QR(S
FIET!UWV&XYZF=[
T!U\V]X3[_^
`a
bc
'
U
Q=def'
XU
Q)dGgh'
X
0
V
Q
V
gi'
jkmlonqpkmlon [$rtsu/v=FT!U
'
X
(
c
`a
bc
'
U
Q=d]ew'
XU
Q=dZgi'
X
0
'
Qx='$gy'
'
U
Qx='ew'
XU
Qx='3gi'
X
0
'
Qx='$gy' z|{G}m~/m
'
U
'
XU
;
X
0
'
;
A
}B
A
I [tCC\GFT!U
6
Xtu)s
61'=(
?3@
~
EADCI
~
CCHGF=[
<
`a
bc
'
U
Q)dei'
XU
Q=dGgh'
X
0
6
Q=6!gi'
K$!pkmlIn [rtsuMv)FT!U
6gi'
X?3@
~
EADCI
}
su/v=F=[
<
:
c
`
a
bc
'
U
Q=dei'
XU
Q=dRgy'
X
0
6!gy'
Q
U
6gh'
X
gy'
pf3
pf4

Partial preview of the text

Download Complex Mathematical Equation with Variables and Operators - Prof. Jandelyn Dawn Plane and more Exams Discrete Structures and Graph Theory in PDF only on Docsity!

?3@BADC$ADCE@GF CHFIE

'=JK'/LM;GJK'/LMNGJIOIOIOGJK'/LM;

JKOPOPO

QR(S FIET!UWV&X YZF=[

T

!U\V]X3[_^

`a

bc

U

Q

=def'

X

U

Q

)dGgh'

X

V

Q

V

gi'

j kmlonqp kmlon [$rtsu/v=FT!U 'X(

c

`

a

bc

U

Q

=d]ew' XU Q=dZgi' X

Qx='$gy'

UQx='ew' XU Qx='3gi' X

Qx='$gy' z|{G}m~/m€‚

U

XU

X

A

A

IŽ [tCC\‘G†’FT!U 6

Xt‰Œu)s 6 1“”'=(

E ADCI•

CCH‘G†’F=[

`a

bc

U

Q

)dei' XU Q=dGgh' X

Q=6!gi'

K–˜—$™!p kmlIn [ rtsuMv)FT!U 6 šgi' X›?3@

E ADCI•

su/v=F=[

: c

`a

bc

U

Q

=dei' XU Q=dRgy' X

!gy'

Q U 6 gh' X gy'

<:c`abc

U

Q

)dew' XU Q=dZgi' X

!gi'

Q U 6 !gi' X gi'

`a

bc

U

Q

=dew' XU Q=dZgi' X

g

c

`

a

b

c

UQ)dew' XU Q=dZgi' X

!gi'

Q U 6 !gi' X gi'

U

}Bˆ

A

‡E

X

Q=6!gi'

g

c

`

a

b

c

UQ)dew' XU Q=dZgi' X

!gi'

Q U 6 !gi' X gi'

U

}G}Bˆ

Eums C\E

X

: c

a`

b

: c

UQ)dew' XU Q=dZgi' X

!gi'

Q U 6 !gi' X gi'

e

Q=6!gi'

U

.u/v=F ‰s

E\A‡u

Eu 

X

UQU 6 gi' X ew' XU QU 6 gi' X gi' X

!gi'

Q U 6 !gi' X gi'

e

Q=6!gi'

U

z,{ }m~ m€ 

X

UQ=6!gi' XU Q=6g ; X

!gi'

Q=6!g ;

e

Q=6!gi'

U

A

A

5‰ s

EHA u

CX

UQ=6!gi' XU Q=6g ; X

!gi'

Q=6!g ;

e

Q=6!gi'

U

A

A

5‰ s

EHA u

CX

UQ=6!gi' XU Q=6g ; X

U

!gy' XU Q=6gi' X eq6 UQ)6!g ;X

UQ=6!gi' XU Q=6g ; X

U

 u=†’†’u

‰s

E\A‡u

u



X

U 6 !gy' XU Q=6gi' X eq6 UQ)6!g ; X U.‘

E\A

.YB‹ UQ=6gy' XU Q=6g ; XX

UQ=6$g ;=6!gh' X e UQ)6tg ;=6 X U ‘

E\A

ZX

U

A‡†

A

ЉŒ‹ZX

;R( ?3@BADC

C

F

Iv=FIsA

E

\A‡u

( E C$Y

CA

I~KˆŠˆ

C

\‘G†’†

EHA u

u/‰ ' Eu’V

u

FA

E@GFF

G}

u

F

E



A

F

Issu=s C

‰Œsu)† E@GF† A

EFIs†

u=E

u=E\A A



A

E



C

su

‘ E(

S FIET!UWV&X YZF=[

T

!UWV&X›[ ^



a

b c

U

N

a

X

^



^

j kmlonqp kmlon [$rtsu/v=FT!U 'X(

c

a 

bc

U

N

a

X

c



c

N

c 0 ; 

U

z ,{ }m~/m€~/m€

C

A

A

Љ ‹mX

IŽ [tCC\‘G†’FT!U 6 Xt‰Œu)s 6 1“”'=( ?3@

E ADCI•

CCH‘G†’F=[

 a

bc

U

N

a

X



Q

E3ADCI•

su/v=F=[ 

c

e G(? @BA C ADC



‘mCHE 

R( ?&s‘GF=•C A

F’E@GFIsF!F

ADC\E C

A

E

F



FIs



U

m~

F



X

C\‘ @5E@

E 





IŽ [tCC\‘G†’FT!U 6 Xt‰Œu)s 6 1“”'=(

EtADCI•

CC\‘G†’F 

e G( ?3@BADC3† F

C

$E@GFIsFF

ADC\E C

u

C\E

E

I~KˆŠˆ

A

‡E•7C\‘ @5E@

E 

e G( F

I~/

s F s\A‡EFE@BA C

CI[  g 

UYB‹

=€G€

A

 u

Y

mu=E@.CWA

FPC X(

K–˜—$™!p kmlIn [ rtsuMv)FT!U 6 šgi' Xt‰ u=s 6 5“”'=(

E$ADCI•

suMv)F 

: c3eR(

 C A



E

@GF

F

A‡E\A‡u

Av)A

FPCI• 3F † ‘mC\E 

m€ ~

u

C

\E

E



C

\‘ @ E@

E 



: c e G( ?3@BADC

I~/

Y

ZF

sF s\A‡EEF

C





='  '=' < eG( 

G}Bˆ

5E@GF Eu '=' < Eu



FIE 



')' U  g  X eG( ?3@GF

•G† ‘

E\A

Eu



FIE 



 g   e R(

A‡†

A

ЉŒ‹wEu



FIE 



 g G( 

Eu=s u=‘GE

 ‰su=† E@GF 

Eu



FIE





 U'='  gh'PQ X(

um•



'='  g”'PQG(

A

F  AC

A

EF



FIsP•E@GF



† ‘mC\EYmF

C 3F

U

Y

u 7C\‘GsF u/‰

A

EF



FIsC3‘

F

Is† ‘

E\A

A

I~

E

\A‡u

/m€5~)€G€

A

E

HA u

X(

 R(S

F

IET!U

X † F



j kmlonqp kmlon [$rtsu/v=FT!U 

X

E$ADCI•

suMv)F



xR(

A

F





GE@BADC †’F

C

 ; x

@BA @5A‡E3ADC

IŽ [tCC\‘G†’FT!U d

X|‰Œu)s  d i6(

E$ADCI•

CC\‘G†’F

a



c



U

dei'

X

u =s  d i6(

K–˜—$™!p kmlIn [ rtsuMv)FT!U 6

X

E$ADCI•

suMv)F





g wQ





g  )6 U F‰ ’u ‰

X

!

g Q U ; 

"

X

g  =6 UYB‹ X

g Q U;

X g =6 U\C A

F 

X

' =6gy' =6g )6 U

A‡†

A

ЉŒ‹ZX

U

A‡†

A

ЉŒ‹ZX

# B(

Q

  # $ N

% '=' 'PQ 'P; ' ' '

 S      S  S   

  S

CCH‘G† A

 }BˆD~

=FIs '

/m€

Q

Y

mu)E@

BˆD~

qEu 3A

m€q}BˆD~

=FIs ' †’u/v=FPC ms C\E ( ?3@GF

BˆD~

=FIs '  A

CAЉ V'&

'=J ;GJ mJGJGJ(#

U

’u

$

X*)@GFIsF V AC E@GF

‘G† YmFIsu/‰ CHEu

FPC$A

A‡E\A

KˆŠˆ

mX (

r

D~

=FIs '

u7CHFPC3AЉ E@GFIsF

sFA

AEHA

Mˆ ˆ

V+& GJ Q U†’u

$ X›C\Eu

FPC (