Sol Mat Haeussler ByPriale

7/25/2019 Sol Mat Haeussler ByPriale

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2/717

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30 9,:+%2 3%4,$+% /;% -,/$#,: -$ 7 *+7 3%4,$+%7 D E7F G 81

40 9,:+%& 5E) H IF G 5E(5F G 5I2 3$/E5 H )FE5 H IF G J H K G IK1

50 9,:+%& ' ! D " G " D E' ! F G " ' ! 1

60 "#$%& E ! D 5FEIF G E ! FEIF D E5FEIF G I ! D K1

70 "#$%&2 2

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80 "#$%2 3%4,$+% .b ab

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270 ! E " ' D ( F G ! ME " ' F D( N G ! E " ' F D ! E( FG ! M " D E ' FN D !( G ! E "F D ! E ' F D !( G !" !' D !(

280 '5 D E'IF G 'J

290 'J D 5 G 'I

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310 7 ' 5 G L

320 7 ' E'IF G 7 D I G ((

330 L E()F G L D () G K

340 $ E%F G$ D %

350 E'5FEOF G 'E5 H OF G '(K

360 7E'OF G 'E7 H OF G 'J)

370 E'5FE'(5F G 5E(5F G 5I

380 (OE(F G E(F(O G E( H (OF G(O

390 19

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410 '7E ! F G 'E7 ! F G '7 !

420 '(5E ! ' "F G E'(5F ! ' E'(5FE "F G '(5 ! D (5 " E=# (5 " ' (5 ! F

430 'M'J D E' "FN G 'E'JF ' E' "F G J D "

440 3 3 1 3 1

3 1515 15 5 3 5 = = = =

450 9 9 9 1 1

9 ( 27)27 27 9 3 3 = = = =

460 ( ) ( )

a a

a b b b

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470 5E'J D 5F G 5E'IF G 'K

480 )M'5E)F D JE5FN G )M'J D (5N G )MJN G (K

490 E'5FE'IFE'(F G KE'(F G 'K

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530 IEL D ! F G IELF D IE ! F G 58 D I !

540 'E ! ' 5F G ' ! D 5

550 8E' ! F G 8

560 1 8 1 8

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= =

570 5

51

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580 14 2 7 221 3 7 3

x x x y y y

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590 3 3 32 (2 ) 2 x x x

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= =

610 (3 ) 3

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bc c c

= =

620 7

(5 ) 75

aa

=

630 aby a by byax a x x

= =

640 7 1 7 1 7 y x y x xy

= =

650 2 5 2 5 10 x y x y xy

= =

660 1 1 3 2 3 2 5

2 3 6 6 6 6

++ = + = =

670 5 3 5 9 5 9 14 2 7 7

12 4 12 12 12 12 2 6 6+ + = + = = = =

680 3 7 9 14 9 14 5 5 1 1

10 15 30 30 30 30 5 6 6 = = = = =


4/717

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25 5 5 5

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7)0

5 5 5

X Y X Y =

710 3 1 1 18 3 2 18 3 2 172 4 6 12 12 12 12 12

+ + = + = =

720 2 3 16 15 16 15 15 8 40 40 40 40

= = =

730 6 6

6 6 x y

x y y y x x

= = =

740 31

3 1 3 3

l l m l l

m m m= = =

750 2 2

2 2

x y z

xy

x z x xy x xy z yz y y

= = =

760 70

*+ -=/ 6%>*-%6 EA% 4,--=/ 6*0*6% 3B 8F1

770 0

07

=

780 00

*+ -=/ 6%>*-%6 EA% 4,--=/ 6*0*6% 3B 8F1

790 8 H 8 G 8

*(+,-'./ )03

10 3 2 3 2 5(2 )(2 ) 2 2 ( 32)+= = =

20 6 9 6 9 15 x x x x+= =

30 4 8 4 8 12w w w w+= =

40 3 2 3 1 2 6 z zz z z + += =

50 3 5 3 5 8

9 5 9 5 14 x x x x

y y y y

+

+= =

60 12 4 12 4 48( ) x x x= =

70 3 7 3 7 21

4 5 4 5 20( )

( )

a a a

b b b

= =

80

52 2 5 2 5 10

3 3 5 3 5 15( )

( )

x x x x

y y y y

= = =

90 2 3 3 3 2 3 3 3 2 3 3 3 6 9(2 ) 2 ( ) ( ) 8 8 x y x y x y x y = = =

1)0

22 3 2 3 2 2 2 3 2 2 2 3 2

2 2 2 2 2 4( ) ( ) ( )

( )

w s w s w s w s

y y y y

= = =

4 6

4w s

y=

110 9

9 5 45 x

x x x

= =

120

64 4 6

5 5 6

6 4 6

6 5 6

4 6

5 6

24

30

2 (2 )

7 (7 )

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117,649

64

117,649

a a

b b

a

b

a

b

a

b

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=

=

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130 3 6 3 6 18

18 4 143 1 3 4

( )

( )

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140 2 3 3 2 2 3 3 2 6 6 12

3 4 3 4 12 12

12 12 0

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( )

1

x x x x x x x

x x x x

x x

= = =

= =

150 25 5=

160 4

81 3= 170 7 128 2 =

180 0.04 0.2=

190 4

44

1 1 116 216

= =


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2)0 3

33

8 8 2 227 3 327

= = =

210 1/ 2(49) 49 7= =

220 1/ 3 3(64) 64 4= =

230 ( )33/ 2 39 9 (3) 27= = =

240

( )5 / 2

5 / 2 5 51 1 1 1

(9)243(9) 39

= = = =

250

( )

2 / 52 / 5 2 25

1 1 1 1(32)

4(32) (2)32= = = =

260 1/ 21/ 2

1 1 1(0.09)

0.30.09(0.09)= = =

310

1 103

= =

270 44 / 5 4

51 1 1 132 32 2 16

= = =

280

22 / 3 2

364 64 4 1627 27 3 9

= = =

290 50 25 2 25 2 5 2= = =

3)0 3 33 3 354 27 2 27 2 3 2= = =

310 3 33 33 32 2 2 x x x= =

320 4 4 2 x x x= =

330 4 4 2

16 16 4 x x x= =

340 4 4

4416 216

x x x= =

350 3 3

3

3

2 8 5 27 128 2 4 2 5 9 3 64 2

2 2 2 5 3 3 4 2

4 2 15 3 4 2

+ = + = += +

360 2 2

3 3 13 39 39 3913 13 13 1313 13

= = = =

370 4 1/ 2 4 2 2 2 2 2 2(9 ) 9 3 ( ) 3 ( ) z z z z = = = 23 z =

380 3 3

8 3/ 4 8 2 4 2 34 4(16 ) 16 (2 ) (2 ) y y y y = = =

68 y=

390

2 / 32 / 3 3 23 227 3 3 98 2 2 4t t t t

= = =

4)0

3/ 43/ 4 4 3 3

12 3 3 3 3

3 9 9

9 3

256 4 4 4( )

4644

x x x x

x x

x

= = =

= = =

410 5 3 5

5 3 52 2 3 2 3 2

1 1 1a b aa b a

c c b c b c

= = =

420 2 / 5 3/ 5

2 3 10 2 / 5 3/ 5 10 / 552

x y x y z x y z

z = =

430 2 7 2 ( 7) 99

55 5 5m m m mm

+ = = =

440 11

x y x y

+ = +

450 22 2

1 1(3 )

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t t = =

460 44

1(3 )

(3 ) z

z =

470 5 2 2 1/ 5 1/ 5 2 1/ 5 1/ 5 2 / 55 (5 ) 5 ( ) 5 x x x x= = =

480 3 3 3 3 3 3 3

9 9

9

9

( ) ( ) ( ) X Y X Y

X Y

Y

X

==

=


6/717

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490 1/ 2 1/ 2 x y x y =

5)0 2 6 3 3 ( 5) 8

5 2 1 ( 6) 2 7u v w w w

vw u v u v

= =

510 2 2 3 2 2 3 1/ 4 2 1/ 4 2 / 4 3 / 44 ( ) x xy z x xy z x x y z = = 9 / 4 3/ 4

1/ 2 x z

y=

520 4 3 2 5 4 3 2 1/ 4 5 4

3/ 4 1/ 2 5 4

17 / 4 9 / 2

17/4

9 / 2

( )a b a b a b a b

a b a b

a b

a

b

===

=

530 2 / 3 23(2 ) (2 )a b c a b c + = +

540 42 3 3/ 4 2 3 3 3 6 94( ) ( )ab c ab c a b c= =

550 4 / 54 / 5 5 4

1 1 x

x x= =

560 1/ 2 1/ 22 (2 ) 2 2 x y x y =

570 3/ 5 3/ 5

3/ 5 3/ 5

5 5 53 3 3 35

3 13 (3 ) (3 )

3 1 3 1

(3 ) 27

w w w w

w w w w

=

= =

580 4 1/ 5 1/ 6 4 / 5 1/ 6 4 / 30 2 /15[( ) ] [ ] x x x x= = =

2/15 15 2

1 1

x x= =

590 1/ 2

1/ 2 1/ 2 1/ 26 6 6 5 6 5

55 5 5 5

= = =

6)0 1/ 4 4 4

4 1/ 4 1/ 4 1/ 4 43 3 3 2 3 2 3 2

28 168 8 2

= = = =

610 1/ 2

1/ 2 1/ 2 1/ 24 4 4(2 ) 4 2

22 (2 ) (2 ) (2 )

x x x x x x x

= = =

2 2 x x

=

620 1/ 2

1/ 2 1/ 2 1/ 2

2(2 )22 (2 ) (2 ) (2 )

y y y y y y y y y y y

= = =

2

2

y=

630 232 / 3

3 1/ 3 1/ 3 2 / 3

(3 )1 1 1(3 )33 (3 ) (3 ) (3 )

x x x x x x x

= = =

3 293 x x

=

640 1/ 3 1/ 3 3

2 / 3 2 / 3 1/ 323

22 2 2 23 33 33

y y y y y y y y y

= = = =

650 12 12

4 233

= = =

660 18

9 32

= =

670

1/ 2 3 / 45 5 5

2 / 4 1/ 4 1/ 2 1/ 4 1/ 2 3 / 44 2

1/ 5 1/ 2 3/ 4 4 / 20 10 / 20 15/ 20

204 10 15 1/ 20 10 15

2 2 2

2 2

(2 ) 16

a b

a b a b a ba ba b a bab ab

a b a bab ab

= =

= =

= =

680 1/ 2 2 / 3 3/ 6 4 / 6

3 1/ 3 1/ 3 2 / 32 2 2 3 2 3

33 3 3 3

= = =

3 4 1/ 6 6(2 3 ) 6483 3

= =

690 6

2 3 4 6 33

22 2

x x y x x y

y= =

7)0 1/ 2 1/ 2 1/ 2 1/ 2

5 / 2 1/ 2 5 / 2 1/ 2 1/ 2 1/ 2 33 3 3u v u v

u v u v u v u v

= =


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710 243 243

81 933

= = =

720 3 2 5 2 2 6 5 2

10 30 2

20 60

{[(3 ) ] } {[3 ] }

{3 }

3

a a

a

a

===

730 0 6 6

2 1/ 2 2 3 6 3/ 2 6 3/ 22 1 2

(2 ) 2

y

x y x y x= =

6 1/ 2 6 1/ 2

3/ 2 1/ 2 264 64 y x y x

x x x

= =

740 5 5 / 2 15 / 6

11/62 / 3 4 / 63 2

s s s s

s s s= = =

750 2 3 2 2 3 2 3 3 33 3 3 3( )( ) x yz xy x yz xy x y z = = xyz =

760 ( )8 1/ 4 8 8 / 4 24 3 (3 ) 3 3 9= = = =

770 2 2 / 5 2 5 2 / 5

2 2

22

3 (32) 3 (2 )

3 (2 )1

32

94

==

=

=

780 2 / 5

2 2 1/ 5 2 / 5 2 2 / 255 [( ) ] ( ) x y x y x y = =

4 / 25 2 /25 x y=

790 4

1 2 2 2 2 42

4(2 ) 2

y x y x y

x= =

8)0 2 / 3 3/ 4

4 1/ 3 1/ 4 1/ 3 1/ 4 2 / 3 3/ 43

3 3 3 y x

y x y x y x y x

= =

3 / 4 2 / 33 x y xy

=

810 2 3 2 1/ 2 2 3 1/ 2 2 1/ 2( ) ( ) x x y xy x x y xy= 1/ 2 3/ 2 1/ 2 2 5 / 2( )( ) x xy x y x y= =

820 4 4 1/ 2 4 1/ 275 (75 ) [(25 )(3)]k k k = = 2 2 1/ 2 2 1/ 2[(5 ) 3] 5 3k k = =

830 3 8 8 24 8 5 14

1 2 3 3 6 24( )

( )

ab c a b c a c

a c a c b

= =

840 3 32 33 7(49) 7 7 7 7= = =

850

22 3 3 6 3 2

4 3 2 4 6 2( ) ( )

( ) ( )

x x x x

x x x x

=

62 2 6 12 2 6

12 x

x x x x x x

= = =

2 2 6 86

1 x x x x

x

= = =

860 (6)(6) 36 6= =

P=/% /;,/ 2(6) 6 +*-4% 'J Q 81

870 2

3 3 2 58 4 4

2

s

s s s s = =

880 ( )35 3 5 3 3 3 1/ 2 3

15 9 3/ 2

15 3/ 2

9

( ) ( ) ( )a b c a b c

a b c

a cb

=

=

=

890

43 23 2 2 3 4

2 3

43 3

3 3 4

4

4 12 12

4

12 12

3(3 2 )

2

32

(3 )

(2)

3

281

16

x y x y y z

y z

x z

x z

x z

x z

=

=

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=

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1063 1/ 2 2 3 2

102 122 ( )2 81616 (16 ) ( )

1 1 1 18

x x x x x x x

x= = = =


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10 K ! ' I " D 5 D ) ! D 5 " ' L G (( ! ' 5 " ' )

20 26 10 2 2 4 x xy z xy + + + 26 11 2 6 x xy z = + +

30 2 2 2 2 2 28 6 4 2 6 6 2 6t s s t t s + + = +

40 2 3 7 x x x x x+ + + =

50 2 3 3 35 3

a b c ba b c

+ += +

60 ) $ D 7% O L$ O% 5( G 5$ 5% )8

70 2

6 10 2 2 4 x xy z xy+ + 26 9 2 2 4 x xy z = +

80 2 3 x x x x x+ =

90 2 3 2 3 x y x z y z + =

1)0 K ' ' I ( ' ) ( D J ' G (I ' ' 7 (

110 O ! D O " ' 5( ' 5I ! D J " ' J G '(L ! D (L " ' 57

120 * ) + L* I + D * ) G ) * 7+ )

130 2 2 2 2

2 25 5 3 8 28

2 33 7

x y xy x xy y

x y xy

+ =

140 5 ' M) D I , ' (5N G 5 ' MI , ' ON G 5 ' I , D OG (( ' I ,

150 2 2 22{3[3 6 2 10]} 2{3[ 16]} x x x+ + = + 2 22{3 48} 6 96 x x= + = +

160 IR) - D (L ' - M( ' - ' (NS G IR) - D (L ' - M'- NS2 24{3 15 } 4 12 60t t t t = + + = + +

170 3 2 2

3 2 2

3 2

3 2

5(8 8 2( 5 2 ))

5(8 8 2 10 4 )

5(8 6 4 10)

40 30 20 50

x x x x

x x x x

x x x

x x x

+ += + + = + += +

180 RJ $ J % D J D (8 $ D (L% $M5% D (8NSG RI$ D O% D J 5$% (8 $SG RJ $ D O% D J 5$%SG J$ O% J D 5 $%

190 2 2(4 5) 4(5) 9 20 x x x x+ + + = + +

2)0 2 2(5 2) 2(5) 7 10u u u u+ + + = + +

210 2

2( 2)( 5) ( 5 2) 2( 5)

3 10

w w w x

w w

+ = + + + =

220 2 2(7 3) (7)(3) 10 21 z z z z + + = +

230 (2 )(5 ) [(2)(2) (3)(5)] 3(2) x x x+ + + 210 19 6 x x= + +

240 E- FE5- F D ME(FE7F D ELFE5FN- D ELFE7F22 3 35t t =

250 2 2 2 22( )(2 ) (2 ) 4 4 X X Y Y X XY Y + + = + +

260 2 2 2(2 ) 2(2 )(1) 1 4 4 1 x x x x + = +

270 2 2 22(5) 5 10 25 x x x x + = +

280

( )2

(1 2) [(1)(5) (1)(2)] (1)(5) x x + + +

2 3 5 x x= +

290 ( ) ( )2 23 2 3 (5) (5)3 10 3 25

x x

x x

+ += + +

3)0 ( )2 23 9 y y =

310 2 2 2(2 ) 1 4 1 s s =

320 2 2 2 4 2( ) (3 ) 9 z w z w =

330 2 ( 4) 3( 4) x x x+ + 3 24 3 12 x x x= +

340 2 2( 3) 1( 3) x x x x x+ + + + + 3 2 23 3 x x x x x= + + + + + 3 22 4 3 x x x= + + +


9/717

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350 2 2 2

4 3 2 2

4 3 2

(3 2 1) 4(3 2 1)

3 2 12 8 4

3 2 13 8 4

x x x x x

x x x x x

x x x x

+ + = + += + +

360 3 2 3 24 3 2 3 2

4 3 2

3 (4 2 3 ) 2(4 2 3 )

12 6 9 8 4 6

12 2 13 6

y y y y y y y

y y y y y y

y y y y

+ + = + += +

370 2 2

2 2

2

3 2

{2( 2 35) 4[2 12 ]}

{2 4 70 8 48 }

{10 52 70}

10 52 70

x x x x x

x x x x x

x x x

x x x

+ = + = =

380 2 2 2 2 2[(2 ) 1 ](4 1) [4 1](4 1) z z z z + = +

2 2 2 4(4 ) 1 16 1 z z = =

390 ! E) ! D 5 " ' IF D "E) ! D 5 " ' IF D 5E) ! D 5 " ' IF2 23 2 4 3 2 4 6 4 8 x xy x xy y y x y= + + + + + 2 23 2 5 2 8 x y xy x= + + +

4)0 2 2[ ( 1)] x x+ + 2 2 2 2( ) 2 ( 1) ( 1) x x x x= + + + +

4 3 2 22 2 2 1 x x x x x= + + + + + 4 3 22 3 2 1 x x x x= + + + +

410 3 2 2 3

3 2(2 ) 3(2 ) (3) 3(2 )(3) (3)

8 36 54 27

a a a

a a a

+ + += + + +

420 3 2 2 3

3 2(3 ) 3(3 ) (2) 3(3 )(2) (2)

27 54 36 8

y y y

y y y

+ = +

430 3 2 2 3(2 ) 3(2 ) (3) 3(2 )(3) 3 x x x + 3 28 36 54 27 x x x= +

440 3 2 2 33 (2 ) 3 (2 ) (2 ) x x y x y y+ + + 3 2 2 36 12 8 x x y xy y= + + +

450 2 18

18 z z

z z z

=

460 3

22 7 4 42 7 x x

x x x x x

+ = +

470 5 3

3

2 2 2 2

6 4 1 13 2

2 2 2 2

x x x x

x x x x+ = +

480 3 4 9 5

36 93

6 93 3

32

y y y

y y

y y y

y

=

=

=

490 2

25 5 3

53

x

x x x

x x

+ + +

T-+A%#U35

x x++

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4 4

4

0

x x x x

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2

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3 2

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37

x x x x x x

x x

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+

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x x x

+ ++


10/717

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3 2

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4 3

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2

3 0

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x x

x x

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x x x x

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530

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2 0 0 0

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8

x x

x x x x

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T-+A%#U 28

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x x x

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x

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560 2 3 2

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z z z z z z

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21

z z

z z

+ + +

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10 5E$! D %F

20 5 "E) " ' 5F

30 L ! E5 " D ' F

40 2 23 (1 3 ) x y xy

50 3 2 3 24 (2 3 )bc a ab d b cd +

60 2 2 4 26 ( 3 12 )u v uv w v+

70 2 27 ( 7)( 7) z z z = +

80 E ! D 5FE ! )F

90 ( 3)( 1) p p+ +

1)0 E, ' IFE , ' 5F

110 2 2(4 ) 3 (4 3)(4 3) x x x = +

120 E ! D JFE ! ' IF

130 E$ D 7FE$ D LF

140 2 2(2 ) (3 ) (2 3 )(2 3 )t s t s t s = +

150 2 2 22(3)( ) 3 ( 3) x x x+ + = +

160 E " ' (8FE " ' LF

170 25( 5 6)5( 3)( 2) x x

x x+ +

= + +

180 23( 4 5)3( 1)( 5)t t

t t +

= +


11/717

!"#$%&' )* "#$%#& '( )*+#,-. /012 !"#$%&'(#%$) +,#-./,#0(,1 2",1)303

!*

190 2 23( 1 ) 3( 1)( 1) x x x = +

2)0 E) " IFE) " 5F

210 2

6 13 2 (6 1)( 2) y y y y+ + = + + 220 EI ! D )FE ! ' (F

230 22 (6 5 4) 2 (3 4)(2 1) s s s s s s+ = +

240 2 2 2(3 ) 2(3 )(5) 5 (3 5) z z z + + = +

250 3/ 5 2 2 3/ 5( 4 ) ( 2 )( 2 )u v u v u v u v u v = +

260 2 / 7 2 2 2 / 7 2 / 7(3 ) 1 (3 1)(3 1) x x x = +

270 22 ( 6) 2 ( 3)( 2) x x x x x x+ = +

280 2 2 2( ) 2( )(2) 2 ( 2) xy xy xy + =

290 2 2 2[2(2 1)] 2 (2 1) x x+ = + 24(2 1) x= +

3)0 2 2

2 2 2

2 2 2

4 2

2 [2 (1 2 )]

2 (2 ) (1 2 )

2 (4 )(1 2 )

8 (1 2 )

x x x

x x x

x x x

x x

= =

=

310 2 2 2 2( 14 49) [( ) 2( )(7) 7 ] x x y xy x xy xy + = + 2( 7) x xy=

320 ! EL ! D 5F D 5EL ! D 5F G EL ! D 5FE ! D 5F

330 2 2( 4) 2(4 ) x x x + 2 2( 4) 2( 4) x x x=

2( 4)( 2) x x= G E ! D 5FE ! ' 5FE ! ' 5F

2( 2)( 2) x x= +

340 E ! D (FE ! ' (F D E ! ' 5FE ! D (FG E ! D (FME ! ' (F D E ! ' 5FNG E ! D (FE5 ! ' )F

350 2 2 2( 8 16) ( 8 16) y y y y y+ + + + 2 2( 8 16)( 1) y y y= + +

2( 4) ( 1)( 1) y y y= + +

360 2 2 2 2 2( 4) ( 4) ( 4)( ) xy x z x x xy z + = + 2( 2)( 2)( ) x x xy z = + +

370 3 3 2 2

24 ( 4)( 4( ) 4 )

( 4)( 4 16)

b b b b

b b b

+ = + += + +

380 3 3 2 21 ( 1)[ 1( ) 1 ] x x x x = + + 2( 1)( 1) x x x= + +

390 3 2 2 3 3( ) 1 ( 1)( 1) x x x = + 2 2( 1)( 1)( 1)( 1) x x x x x x= + + + +

4)0 3 3 2 23 (2 ) (3 2 )[3 3(2 ) (2 ) ] x x x x+ = + + 2(3 2 )(9 6 4 ) x x x= + +

410 2( 3) ( 1)[( 3) ( 1)] x x x x+ + + 2( 3) ( 1)[2 2] x x x= + + 2( 3) ( 1)[2( 1)] x x x= + +

22( 3) ( 1)( 1) x x x= + +

420 2 2

2 2

2 2

( 5) ( 1) [( 5) ( 1)]

( 5) ( 1) (2 6)

2( 5) ( 1) ( 3)

a a a a

a a a

a a a

+ + + + += + + += + + +

430 M. E( D / FN D M. E( D / FN/ G M. E( D / FNE( D/ F2(1 ) P r = +

440 (3 5 )[( 3 ) ( 2 )] (3 5 )( 5 )5 (3 5 )

X I X I X I X I I I X I

+ + = + = +

450 2 2 2 2 2

( ) 4 ( 4)( 4) x x x = + 2( 4)( 2)( 2) x x x= + +

460 2 2 2 2 2 2 2 2(9 ) ( ) (9 )(9 ) x y x y x y = + 2 2(9 )(3 )(3 ) x y x y x y= + +


12/717

/012 !"#$%&'(#%$) +,#-./,#0(,1 2",1)303 +&,%-./ )04

!!

470 4 2 2 4 4( ) 1 ( 1)( 1) y y y = + 4 2 2( 1)( 1)( 1) y y y= + + 4 2( 1)( 1)( 1)( 1) y y y y= + + +

480 2 2 2 2 2( ) 2 ( 2)( 2)t t t = +

( )22 2( 2) 2t t = +

( )( )2( 2) 2 2t t t = + +

490 2 2 2( 5)( 1) ( 5)( 1)( 1) X X X X X + = + +

5)0 2 2( 9)( 1) ( 3)( 3)( 1)( 1) x x x x x x = + +

510 4 2 2 2 2( 2 1) ( 1) [( 1)( 1)] y x x y x y x x + = = + 2 2( 1) ( 1) y x x= +

520 22 (2 3 2) 2 (2 1)( 2) x x x x x x = +

*(+,-'./ )06

10 2

29 ( 3)( 3) 3

( 3)3

a a a aa a aa a

+ += =

20 2

23 10 ( 2)( 5) 5

( 2)( 2) 24

x x x x x x x x x

+ = =+

30 2

29 20 ( 5)( 4) 5

( 5)( 4) 520

x x x x x x x x x x

+ = =+ ++

40 2

3 23 27 24 3( 8)( 1)

2 ( 7)( 1)2 16 14

x x x x x x x x x x

+ = +

3( 8)2 ( 7)

x x x

=

50 2

26 2 (3 2)(2 1) 3 2

( 2)(2 1) 22 3 2

x x x x x x x x

x x

+ + += =+ +

+

60 2

212 19 4 (4 1)(3 4)

(2 3)(3 4)6 17 12

x x x x x x x x

+ = +

4 12 3 x x

=

70 2 2(1)

( 3)( 2) ( 3)( 2) y y

y y y y=

+ +

80 2

2( 3)( 3)

3( 3)( 3)

t t t t t t t t

+ =+

90 ( )( ) ( )( 1)( )

( )( ) ( )( )( )( 1)

ax b c x ax b x c

x c ax b x c ax bax b

ax bb axax b

= + +

=+

=+

1)0 2 2( )( )( ) ( )( )

( )( ) (1)( ) x y x y x y x y x y

x y y x x y+ + +=

+

2( ) x y= +

110 2( 1) ( 4)( 1)

( 4)( 2) ( 1)( 1)

x x x

x x x x

+ +

+ +

2( 1)( 4)( 1)( 4)( 2)( 1)( 1)

x x x x x x x

+ += + +

2( 4)( 4)( 2)

x x x

+= +

120 2( 2) ( 2)

3( 4)( 2) ( 3)( 2) x x x

x x x x+

+

2( 2)( 2)3( 4)( 2)( 3)( 2)

x x x x x x x

+ = +

( 2)3( 4)( 3) x x x x=

130 2 24 4

8 8 2 X X X

X X = =

140 23 14 3 14 3(14)

67 7 7 x x x x x x x = = =

150 3 3

2 22 2

6 36

m n mn nmn mn = =

160 2 2 ( ) 2( )( )

c d c c c d c d c c d c c d c d + + + = =

170 4 4 1 4 2

23 3 2 6 3 x x x

x x x

= = =

180 24 2 4 (2 ) 8

1 3 3 3 x x x x x = =


13/717

!"#$%&' )* "#$%#& '( )*+#,-. /012 !"#$%&'(#%$) +,#-./,#0(,1 2",1)303

!"

190 3 3

2 9 3 27 271 x x

x x x = =

2)0 4 3 3

312 12 1 124 31 4 4

Y Y Y Y

Y

= = =

210 3 4 3 1 3

11 ( 3)( 4) 1 3 3

x x x x x x x x

= = =

220 2 2

2

( 3) ( 3) 1( 3)

3( 3) 3

( 3)

x x x

x x x x x

x x x

+ + + = +

+ += =+

230 3 3 210 1 10 ( 1) 2

( 1)( 1) 5 5 ( 1)( 1) 1

x x x x x

x x x x x x x

+ + = =

+ +

240 ( 3)( 2) ( 3)( 1)( 3)( 3) ( 2)( 2)

2 ( 3)( 1)3 ( 2)( 2)

( 2)( 3)( 1)( 3)( 2)( 2)

12

x x x x x x x x x x x x x x x x x x x x

x x

+ +

+ + + + = + + + + =+ + =

250 ( 2)( 5) ( 4)( 1)

( 5)( 1) ( 4)( 2)2 11 2

( 2)( 1)( 1)( 2)1

x x x x

x x x x x x x x x x x x

+ + +

+ + ++ += + ++ +=+ +

=

260 2

2

( 3) (3 4 )(3 4 )4 3 7( 3)

( 3) (3 4 )(3 4 )7(4 3)( 3)

( 3)(3 4 )( 1)(4 3)7(4 3)

( 3)(3 4 )7

x x x x x

x x x x x

x x x x

x x

+ +

++ + =

++ +

= + +=

270 (2 3)(2 3) (1 )(1 )

( 4)( 1) 2 3 x x x x x x x

+ +

+

(2 3)(2 3)(1 )(1 )( 4)( 1)(2 3)

x x x x x x x+ + =

+

(2 3)(1 )(1)( 1)( 4)( 1)

x x x x x

+ + =+

(2 3)(1 )4

x x x+ +=

+

280 2

2(6 7 3) ( 1) 4( 1)

( 1) 5( 1) ( 4)

y x x x y y x y y x y x

+ +

+ +

2(3 1)(2 3)( 1)( 4)

( 1)( 5) ( 4)

y x x y x

y x x y x

+ += + +

2

(3 1)(2 3)

( 5)

x x

x x

+=+

290 2 5 6

3 x x

x+ +

+( 3)( 2)

23

x x x

x+ += = +

+

3)0 2 2

12 2 x x

x x+ += =+ +

310 VWX G )-2 1 6 1 6 1 7

3 3 3 3 3t t t t t t ++ = + = =

320 3LCD X =

3 2 3 3 39 1 9 9 X X

X X X X X

= =

330 3LCD 1 x= 3 3 3

3 3 3

3 3

3

3

3

11

1 1 11

11

11

1

x x x

x x x x x

x

x

x

=

=

=

=

340 VWX G, D I4 4 ( 4) 4 ( 4)

4 4 4 4 s s s s

s s s s s

+ + ++ = + =+ + + +

2 24 4 ( 2)4 4

s s s s s+ + += =

+ +


14/717

/012 !"#$%&'(#%$) +,#-./,#0(,1 2",1)303 +&,%-./ )04

!#

350 VWX G E5 ! ' (FE ! D )F4 4( 3) (2 1)

2 1 3 (2 1)( 3) ( 3)(2 1) x x x x

x x x x x x+ + = +

+ + +

24( 3) (2 1) 2 3 12

(2 1)( 3) (2 1)( 3)

x x x x x

x x x x

+ + + += = + +

360 VWX G E ! ' (FE ! D (F1 1 ( 1)( 1) ( 1)( 1)1 1 ( 1)( 1) ( 1)( 1)

x x x x x x x x x x x x

+ + + = + + +

2 2( 1) ( 1)( 1)( 1)

x x x x+ =

+

2 22 1 ( 2 1) 4( 1)( 1) ( 1)( 1)

x x x x x x x x x

+ + += =+ +

370 LCD ( 3)( 1)( 3) x x x= + + 1 1

( 3)( 1) ( 3)( 3)3 1

( 3)( 1)( 3) ( 3)( 1)( 3)( 3) ( 1)

( 3)( 1)( 3)2 4

( 3)( 1)( 3)2( 2)

( 3)( 1)( 3)

x x x x x x

x x x x x x x x

x x x x

x x x x

x x x

+ + +

+ += + + + + +

+ + += + +

+= + +

+= + +

380 VWX G E ! IFE5 ! D (FE5 ! (F

2

4( 4)(2 1) ( 4)(2 1)

4(2 1) (2 1)( 4)(2 1)(2 1) ( 4)(2 1)(2 1)4(2 1) (2 1)

( 4)(2 1)(2 1)

2 7 4( 4)(2 1)(2 1)

x x x x x

x x x x x x x x x

x x x x x x

x x x x x

+

+= + +

+= + + =

+

390 VWX G E ! ' (FE ! D LF24 3

31 ( 1)( 5)

x x x x

+ +

24( 5) 3( 1)( 5) 3( 1)( 5) ( 1)( 5) ( 1)( 5)

x x x x x x x x x x

+ += + + + +

2 24 20 3( 4 5) 3( 1)( 5)

x x x x x x

+ + += +

35 8( 1)( 5)

x x x

= +

4)0 VWX G E5 ! ' (FE ! D JFE) ! ' 5F2 3 3 1 1

(2 1)( 6) (3 2)( 6) 3 2 x x

x x x x x + +

+ +

(2 3)(3 2) (3 1)(2 1) (2 1)( 6)

(2 1)( 6)(3 2)

x x x x x x

x x x

+ + +=

+ 2 2 26 13 6 (6 1) 2 11 6(2 1)( 6)(3 2)

x x x x x x x x x

+ + + = +

22 1(2 1)( 6)(3 2)

x x x x x

+= +

410 2 2 21 1 1

1 x x

x x x x+ + = + =

2

22 1 x x

x

+ +=

420 2 2 2

1 1 y x y x x y xy xy xy

++ = + =

2 2

2 22 y xy x

x y

+ +=

430 1 1 11 1 1

`1

xy xy x y

x x x x xy = = =

440 2 2 2

2 2

2

1 1 1

2 1

ab aba

b b b b

a b ab

b

+ + = + =

+ +=

450 Y$:/*C:B*-. /;% -$#,4/*=- 3B ! .*0%+7 1

.5 x

x+

460 Y$:/*C:B*-. -$


15/717

!"#$%&' )* "#$%#& '( )*+#,-. /012 !"#$%&'(#%$) +,#-./,#0(,1 2",1)303

!$

470 Y$:/*C:B*-. -$


16/717

!"#$ !"#$%&'(#%$) +,#-./,#0(,1 2",1)303 !"#$%&' )*+

!"

!"#$%&'( *+,

-+ 29 0 x x = "#$ ! % &'

2

9(1) (1) 09 1 08 0

"#$ ! % ('29(0) (0) 0

( ) ( (( % (*+,-. ( -/$0-10#- $+# #2,/$034. 5,$ & 63#- 43$7

.+ 212 7 ; x x = 8. 9"#$ ! % 8'

212 7(4) (4)

12 28 1616 16

= "#$ ! % 9'

212 7(3) (3)12 21 9

9 9

=

*+,-. 8 /46 9 -/$0-1: $+# #2,/$0347

/+ 17

3( 4) 5; , 44

z z + =

"#$17

:4

z =

17 173 4 54 4

17 5112 5

4 45 5

+

+ =

"#$ " % 8'4 3(4 4) 54 0 54 5

+ +

*+,-.174

-/$0-10#- $+# #2,/$034. 5,$ 8 63#- 43$7

0+ 2

2 8 0 x x+ = "#$ ! % ;'22 2 2 8 0 +

8 < 8 ) = (( % (

"#$ ! % )8'22(4) (4) 8 0+

)= < &> ) = (( % (*+,-. ; /46 )8 -/$0-1: $+# #2,/$0347

1+ ! ?> < ! @ ) ;? ! < &@ ) A ! % 8"#$ ! % );'?);@?> ) ;@ ) ;?); < &@ ) A?);@ 8);?8@ ) ;?)&@ < &( 8)= < ; < &( 88 % 8"#$ ! % ('(?>@ ) ;?&@ ) A?(@ 8); 8*+,-. ); -/$0-10#- $+# #2,/$034. 5,$ ( 63#- 43$7

2+ 2( 1) ( 2) 0 x x x+ + = "#$ ! % ('

20(1) (2) 0 ( % ("#$ ! % )&'

2(1)(0) (1) 0 ( % ("#$ ! % ;'

22(3) (4) 0 B; (*+,-. ( /46 )& -/$0-1: $+# #2,/$034. 5,$ ; 63#-43$7

,+ C6604D A $3 53$+ -06#-E #2,0F/G#4H# D,/I/4$##6

3+ J0F0604D 53$+ -06#- 5: =E #2,0F/G#4H#D,/I/4$##6

4+ K/0-04D 53$+ -06#- $3 $+# $+0I6 L3M#IE#2,0F/G#4H# 43$ D,/I/4$##67

-*+ J0F0604D 53$+ -06#- 5: ;E #2,0F/G#4H#D,/I/4$##6

--+ J0F0604D 53$+ -06#- 5: ! E #2,0F/G#4H# 43$D,/I/4$##6

-.+ N,G$0LG:04D 53$+ -06#- 5: ! ) ;E #2,0F/G#4H# 43$D,/I/4$##6

-/+ N,G$0LG:04D 53$+ -06#- 5: ! ) &E #2,0F/G#4H# 43$D,/I/4$##6

-0+ J0F0604D 53$+ -06#- 5: ? ! < 9@E #2,0F/G#4H# 43$D,/I/4$##67


17/717

,-./$"0 )1 &'()'* +, -./'012 !"#$ !"#$%&'(#%$) +,#-./,#0(,1 2",1)303

!#

-1+ N,G$0LG:04D 53$+ -06#- 5:2 3

;2

x x

#2,0F/G#4H#

43$ D,/I/4$##6

-2+ C6604D O ) ! $3 53$+ -06#- /46 $+#4 60F0604D53$+ -06#- 5: ;E #2,0F/G#4H# D,/I/4$##6

-,+ 8 ! % &(10 54 2

x = =

-3+ (7; ! % B7

350.2

x = =

-4+ 9 # % (0

03

y = =

.*+ ; ! ) 8 ! % )A); ! % )A

5 5 2 2

x = =

.-+ 8 12 208 8 x x

= =

81

8 x

= =

..+ 4 7 37 1

1 17 7

x x

x

= =

= =

./+ A ! ) 9 % OA ! % &;

125

x =

.0+ 2 3 8 x+ = 2 5 x =

5 5 2 or 22 x

=

.1+ B ! < B % ;? ! < &@B ! < B % ; ! < ;A ! < B % ;A ! % )A

51

5 x = =

.2+ 4 3 1 417 1 417 42

426

7

s s s s

s

+ = ==

= =

.,+ 5( 7) 2(3 4) 35 35 6 8 3

27 327 4

274

p p p p p p

p p p

p

= + =

= =

=

.3+ $ % ; ) ;P; $ ) 9?& ) $ @Q$ % ; ) ;P; $ ) 9 < 9 $ Q$ % ; ) ;PA $ ) 9Q$ % ; ) &( $ < >

&&$ % =811

t =

.4+ 2 65 x

x=

! % A?; ! ) >@ ! % &( ! ) 9(9( % O !

30 109 3

x = =

/*+ 5 6

2 47 7 y

y = A # ) > % &8 ) ;= # 99 # % ;(

2033

y =

/-+ 4

79 2 x x+ =

N,G$0LG:04D 53$+ -06#- 5: O R ; D0F#-O R ; R B < ;?8 ! @ % O? ! @&;> < = ! % O !

! % &;>

/.+ 43 5 x x =

A ! ) >( % 9 ! ; ! % >(

! % 9(


18/717

!"#$ !"#$%&'(#%$) +,#-./,#0(,1 2",1)303 !"#$%&' )*+

!$

//+ 4

53

r r =

N,G$0LG:04D 53$+ -06#- 5: 9 D0F#-3 4 15

1515

r r

r r

=

= =

/0+ 3 5

95 3

9 25 13534 135

13534

x x

x x x

x

+ =+ =

=

=

/1+ 1

3 5 55 5 x

x x+ = +

N,G$0LG:04D 53$+ -06#- 5: A D0F#-&A ! < ! ) ;A % & < ;A ! &> ! ) ;A % & < ;A ! )O ! % ;>

269

x =

/2+ 2 3 4 5 y y y y

y + =

>( # ) 9( # < ;( # ) &A # % &; # 9A # % &; # ;9 # % (

# % (

/,+ 2 3 6 7

4 3 y y +=

N,G$0LG:04D 53$+ -06#- 5: &; D0F#-9?; # ) 9@ % 8?> # < B@> # ) O % ;8 # < ;=)&= # % 9B

3718

y =

/3+ 5 7

( 1)4 3 2t

t t + =

N,G$0LG:04D 53$+ -06#- 5: &; D0F#-3 20 42( 1)23 42 4242 19

4219

t t t t t

t

t

+ = =

=

=

/4+ 1202 6 24w w w

w + =

N,G$0LG:04D 53$+ -06#- 5: ;8 D0F#-24 12 4 2880

15 28802880192

15

w w w w

ww

+ =

== =

0*+ 7 2( 1) 6

3 5 x x+ + =

9A < &(? ! < &@ % &= ! 9A < &( ! < &( % &= ! 8A % = !

458

x =

0-+ 2 2

23 6

x x x

+ =

N,G$0LG:04D 53$+ -06#- 5: > D0F#-;? ! < ;@ ) ?; ) ! @ % >? ! ) ;@; ! < 8 ) ; < ! % > ! ) &;9 ! < ; % > ! ) &;; % 9 ! ) &;&8 % 9 !

143

x =

0.+ 2( 4)

75 10 x x+ =

; ! < ;? ! ) 8@ % B(; ! < ; ! ) = % B(8 ! % B=

78 394 2

x = =

0/+ 9 3

(3 ) ( 3)5 4

x x =

N,G$0LG:04D 53$+ -06#- 5: ;( D0F#-9>?9 ) ! @ % &A? ! ) 9@&(= ) 9> ! % &A ! ) 8A&A9 % A& !

! % 9

00+ 2 7 8 9 3 53 14 21

y y y + =

&8?; # ) B@ < 9?= # ) O@ % ;?9 # ) A@;= # ) O= < ;8 # ) ;B % > # ) &(8> # % &&A

115 546 2

y = =


19/717

,-./$"0 )1 &'()'* +, -./'012 !"#$ !"#$%&'(#%$) +,#-./,#0(,1 2",1)303

!%

01+ 4

(5 2) 7[ (5 2)]34(5 2) 21( 5 2)20 8 84 42104 50

50 25104 52

x x x

x x x x x x

x

= = +

= +=

= =

02+ 2 2 2

2 2 2

2 2

(2 5) (3 3) 13 5 7

4 20 25 9 18 9 13 5 7

13 38 34 13 5 733 27

27 933 11

x x x x

x x x x x x

x x x x x

x

+ = + + + + = +

+ = + =

= =

0,+ 5

25 x

=

N,G$0LG:04D 53$+ -06#- 5: ! D0F#-A % ;A !

525

x =

15

x =

03+ 4

21 x

=

8 % ;? ! ) &@8 % ; ! ) ;> % ; !

! % 9

04+ N,G$0LG:04D 53$+ -06#- 5: 9 ) ! D0F#- B % (.M+0H+ 0- 1/G-#7 *+,- $+#I# 0- 43 -3G,$034. -3 $+#-3G,$034 -#$ 0- 7

1*+ 3 5

03

3 5 03 5

53

x x x x

x

= ==

=

1-+ 3 7

5 2 23(2) 7(5 2 )

6 35 1414 29

2914

x x x

x

x

=

= = =

=

1.+ 3 2

5 x

x+ =

A? ! < 9@ % ; ! A ! < &A % ; ! 9 ! % )&A

! % )A

1/+ 1

5 4 3q

q=

9% % A% ) 8); % % )8% % ;

10+ 4

17

p p

=

8 & % B ) & A & % B

75

p =

11+ 1 2

1 2 p p=

& ) ; % ;? & ) &@ & ) ; % ; & ) ; & % (

12+ 2 3

64 5 x x

=

; ! ) 9 % ;8 ! ) 9(

;B % ;; ! 2722

x =

1,+ 1 1 3

7 71 3 1

7 71 2

772

x

x

x

x

+ =

=

=

=

13+ 2 3

1 22( 2) 3( 1)

2 4 3 31

1

x x x x x x

x x

=

= = =

=


20/717

!"#$ !"#$%&'(#%$) +,#-./,#0(,1 2",1)303 !"#$%&' )*+

!&

14+ 3 2 3 12 3 2 1 x x x x

=+ +

?9 ! ) ;@?; ! < &@ % ?9 ! ) &@?; ! < 9@2 26 2 6 7 3 x x x x = +

& % = ! 18

x =

2*+ 2 1

01 3

x x x x

+ ++ =

? ! < ;@?9 ) ! @ < ? ! < &@? ! ) &@ % (2 23 6 2 1 0 x x x x + + =

! < A % ( ! % )A

2-+ 6 6 6

6

y y

y y y

+ =

N,G$0LG:04D 53$+ -06#- 5: #? # >@ D0F#-2( 6) 6( 6) ( 6) y y y y = +

2 212 36 6 36 6 y y y y y + + = + 2 218 72 6 y y y y + = +

B; % ;8 # # % 9

2.+ 2 22 3

y y y y

=+ +

? # ;@? # < 9@ % ? # ;@? # < ;@2 26 4 y y y+ =

# % ;

2/+ 5 7 11

2 3 3 2 3 5 x x x = + +

N,G$0LG:04D 53$+ -06#- 5: ?; ! 9@?9 ! < A@ D0F#-5(3 5) 7(3 5) 11(2 3)15 25 21 35 22 3315 25 68

16 434316

x x x x x x x x

x

x

+ = + + = + =

=

=

20+ 1 3 4

3 2 1 2 x x x =

? ! ) ;@?& ) ; ! @ ) 9? ! ) 9@?& ) ; ! @% 8? ! ) 9@? ! ) ;@

2 2 22 5 2 3(2 7 3) 4( 5 6) x x x x x x + + = +

2 24 16 7 4 20 24 x x x x + = + 8 ! % &B

174

x =

21+ 9 3

3 3 x

x x=

O % 9 ! ! % 9S,$ $+# D0F#4 #2,/$034 0- 43$ 6#104#6 13I ! % 9.-3 $+#I# 0- 43 -3G,$0347 *+# -3G,$034 -#$ 0-7

22+ 2

3 43 3 9

x x x x x x

=+

! ? ! ) 9@ ) ! ? ! < 9@ % 9 ! ) 82 23 3 3 4 x x x x x =

)> ! % 9 ! ) 8)O ! % )8

49

x =

2,+ 5 4 x+ =

( )2 25 4 x+ =

! < A % &> ! % &&

23+ 2 3 z =

( )2 22 3 z = " ) ; % O " % &&

24+

( )2 2

3 4 8 0

3 4 8

3 4 (8)3 4 643 68

683

x x

x x x

x

= =

= ==

=


21/717

,-./$"0 )1 &'()'* +, -./'012 !"#$ !"#$%&'(#%$) +,#-./,#0(,1 2",1)303

'(

,*+

( )22

4 3 1 0

4 3 1

4 3 1

16 3 115 35

x x

x

x x x

+ == +

= +

= +==

,-+ 2

12 3 x + =

2 221

2 3 x + =

41

2 9 x + =

5

2 9

x =

5 102

9 9 x

= =

,.+ 1/ 2( 6) 7 x+ = 1/ 2 2 2[( 6) ] 7 x + =

! < > % 8O ! % 89

,/+ 4 6 x x =

( ) ( )2 24 6 x x = 8 ! ) > % ! 9 ! % >

! % ;

,0+

( ) ( )2 24 3 2 5

4 3 2 5

4 3 2 51

x x

x x

x x x

+ = +

+ = ++ = +=

,1+ 3/ 4

3/ 4 4 / 3 4 / 3( 5) 27

[( 5) ] 27

5 8186

x

x

x x

= =

==

,2+ 2 9 9 y y = 2

2 29 (9 ) y y =

2 29 81 18 y y y = + &= # % O(

905

18 y = =

,,+ 2 3 y y+ + = 2 3 y y+ =

( ) ( )2 22 3 y y+ = 2 9 6 y y y+ = +

6 7 y =

( )2 26 7 y = 9> # % 8O

4936

y =

,3+ 1 1 x x + = 1 1 x x= + +

( ) ( )2 21 1 x x= + + 1 2 1 1 x x x= + + + +

2 2 1 x = + 1 1 x = + . M+0H+ 0- 0TL3--05G# 5#H/,-#

0a 13I /GG' 7 *+,- $+#I# 0- 43 -3G,$0347*+# -3G,$034 -#$ 0- 7

,4+ 2 2 3 z z z + = + 2

2 22 (3 ) z z z + = +

2 22 9 6 z z z z + = + + )O % 8 "

94

z =


22/717

!"#$ !"#$%&'(#%$) +,#-./,#0(,1 2",1)303 !"#$%&' )*+

'!

3*+ 1 2

05 2w w

=

1 25 2w w

=

2 21 2

5 2w w

=

1 25 2w w

=

A( ) ; % ; ( 9( % ;

23

w =

3-+ ) %*+$ I

r Pt =

3.+

100

1 0100

1100

1 p

p P R

p P R

R P

+ = + =

=+

3/+ & % =% ) & & < & % =%

18 pq +=

30+ & % )9% < > & ) > % )9 %

6 63 3

p pq

= =

31+ , %* ?&


23/717

,-./$"0 )1 &'()'* +, -./'012 !"#$ !"#$%&'(#%$) +,#-./,#0(,1 2",1)303

''

4.+ 1 1 1 p q f

+ =

1 1 1q f p

=

1 p f q pf

=

pf q

p f =

4/+ 2 2660 2 2(160)660 2 320340 2

340170

2

P l wl l l

l

= += += +=

= =

*+# G#4D$+ 31 $+# I#H$/4DG# 0- &B( T7

40+ 2

2355 (2)355 4

3554

V r h

hh

h

= = =

=

*+# +#0D+$ 31 $+# H/4 0-355

28.254

H#4$0T#$#I-7

41+ / % ! < (7(=;A ! % &7(=;A !

42+ K#F#4,# #2,/G- H3-$ M+#4 8A( ! % 9=( ! < 9A((78A( ! % 9=( ! < 9A((B( ! % 9A((

! % A(A( $366G#I- 4##6 $3 5# #4I3GG#67

4,+ 1 n

V C N

=

2000 3200 18n =

;((( % 9;(( ) 8(( 0 8(( 0 % &;((0 % 9*+# 1,I40$,I# M0GG +/F# / F/G,# 31 U;(((/1$#I 9 :#/I-7

43+ 334.8

(2500)495

334.8165, 726 2500

165,72666.2904

2500

vf F

v

v

v

=

==

= =

"04H# $+# H/I 0- $I/F#G04D /$ >>7;O(8 T0V+ 34 />A T0V+ +0D+M/:. $+# 3110H#I H/4 HG/0T $+/$ :3,M#I# -L##604D7

44+ SI34M:4W- M##XG: -/G/I: 13I M3IX04D1 +3,I- 0-;B1 < &=7 "$#F#W- M##XG: -/G/I: 13I M3IX04D1 +3,I- 0- 9A 171

(27 18 35 ) 5505

62 18 2750

62 2732273244.1

62

h h

h

hh

+ + =+ =

==

*+#: T,-$ #/H+ M3IX 88 +3,I- #/H+ M##X7

-**+ # %' ?& ) .# @ ! # %'! ?& ) .# @ # %'! ) '.!# # < '.!# %'! #?& @ % &(? ! O;@= ! 9>= % &( ! O;(AA; % ; !

! % ;B>*+# T/[0T,T 4,T5#I 31 H,-$3T#I- 0- ;B>7


24/717

!"#$ !"#$%&'(#%$) +,#-./,#0(,1 2",1)303 !"#$%&' )*2

')

-*/+ d

t r c

=

$ ?+ ) / @ %- $+ ) $/ %- $+ - %$/

tr d d c r

t t = =

-*0+ Z#$ ! % $+# +3I0\34$/G 60-$/4H# 1I3T $+# 5/-# 31$+# $3M#I $3 $+# +3,-#7 S: $+# ]:$+/D3I#/4$+#3I#T. 2 2 2100 ( 1) . x x+ = +

2 210, 000 2 110, 000 2 1

9999 29999

4999.52

x x x x x

x

+ = + += +=

= =

*+# 60-$/4H# 1I3T $+# $3L 31 $+# $3M#I $3 $+#+3,-# 0- ! < & % 8OOO7A < & % A(((7A T#$#I-7

-*1+ 30 s fd = "#$ 2 % 8A /46 ?13I 6I: H34HI#$#@ 3 % (7=7

( )22

45 30(0.8)

45 24

(45) 24

2025 242025 675 3

84 84 ft24 8 8

d

d

d

d

d

==

==

= = =

-*2+ Z#$* 5# $+# /T3,4$ 04 $+# /HH3,4$ 34# :#/I /D37*+#4 $+# 04$#I#-$ #/I4#6 0- (7(B9* /46* < (7(B9* % &;AB71.073 1257

12571171.48

1.073

P

P

=

=

*+# /T3,4$ 04 $+# /HH3,4$ 34# :#/I /D3 M/-U&&B&78=. /46 $+# 04$#I#-$ #/I4#6 0-U&&B&78=?(7(B9@ % U=A7A;7

-*,+ Z#$4 5# *3TW- #[L#4-#- 04 ^3F/ "H3$0/ 5#13I#$+# _"* $/[7 *+#4 $+# _"* $/[ 0- (7&A 4 /46 $+#$3$/G I#H#0L$- /I#4 < (7&A4 % &7&A47 *+#L#IH#4$/D# 31 $+# $3$/G $+/$ 0- _"* 0-0.15 0.15 15 31.15 1.15 115 23

ee

= = = 3I /LLI3[0T/$#G:

&9`7

-*3+ 1 1

and8 14

/I# I33$-7

-*4+ 12

0- / I33$7

--*+ 14

61

0- / I33$7

---+ ( 0- / I33$7

!"#$%&'( *+3

-+ 2 4 4 0 x x + = 2( 2) 0 x =

! ) ; % ( ! % ;

.+ ?$ < &@?$ < ;@ % ($ < & % ( 3I $ < ; % (

$ % )& 3I $ % );

/+ 2 8 15 0( 3)( 5) 0t t t t

+ = =

$ 9 % ( 3I $ A % ($ % 9 3I $ % A

0+ ? ! ) ;@? ! < A@ % ( ! ) ; % ( 3I ! < A % ( ! % ; 3I ! % )A

1+ 2 2 3 0 x x = ? ! ) 9@? ! < &@ % (

! ) 9 % ( 3I ! < & % ( ! % 9 3I ! % )&

2+ ? ! ) 8@? ! < 8@ % ( ! ) 8 % ( 3I ! < 8 % ( ! % 8 3I ! % )8

,+ 2 13 36u u = 2 13 36 0u u + =

( 4)( 9) 0u u = 5 ) 8 % ( 3I 5 ) O % (5 % 8 3I 5 % O

3+ 23( 4 4) 0w w + = 23( 2) 0w =

( ) ; % (( % ;


25/717

,-./$"0 )1 &'()'* +, -./'012 !"#$ !"#$%&'(#%$) +,#-./,#0(,1 2",1)303

'*

4+ 2 4 0 x = ? ! ) ;@? ! < ;@ % (

! ) ; % ( 3I ! < ; % ( ! % ; 3I ! % );

-*+ 3 ( 2) 0u u = 5 % ( 3I 5 ; % (5 % ( 3I 5 % ;

--+ 2 5 0( 5) 0t t t t

= =

$ % ( 3I $ ) A % ($ % ( 3I $ % A

-.+ 2 9 14 0 x x+ + = ? ! < B@? ! < ;@ % (

! < B % ( 3I ! < ; % (

! % )B 3I ! % );-/+ 24 1 4 x x+ =

24 4 1 0 x x + = 2(2 1) 0 x =

; ! ) & % (12

x =

-0+ 22 9 5 0 z z + = ?; " ) &@? " < A@ % (; " ) & % ( 3I " < A % (

12

z = 3I " % )A

-1+ 2

2

(3 5) 2

3 5 2

3 5 2 0(3 2)( 1) 0

v v

v v

v vv v

= = + = =

96 ) ; % ( 3I 6 & % (23

v = 3I 6 % &

-2+ 2

2

6 2 0

6 2 0(2 1)(3 2) 0

x x

x x x x

+ + = =

+ =

2 1 0 or 3 2 01 2

or 2 3

x x

x x

+ = =

= =

-,+ 2 3 10 0 x x + + = 2 3 10 0 x x =

? ! ) A@? ! < ;@ % ( ! ) A % ( 3I ! < ; % (

! % A 3I ! % );

-3+ 21 3

07 7

y y =

1( 3) 0

7 y y =

# % ( 3I # ) 9 % ( # % ( 3I # % 9

-4+ 22 3 p p= 22 3 0 p p =

&?; & ) 9@ % (

& % ( 3I ; & ) 9 % ( & % ( 3I

32

p =

.*+ 2 12 0r r + = ?+ ) 9@?+ < 8@ % (+ ) 9 % ( 3I + < 8 % (+ % 9 3I + % )8

.-+ ! ? ! < 8@? ! ) &@ % ( ! % ( 3I ! < 8 % ( 3I ! ) & % ( ! % ( 3I ! % )8 3I ! % &

..+ 2 2( 3) ( 1) 0w w + = ( 9 % ( 3I ( < & % (( % 9 3I ( % &

./+ 3

249 0

( 49) 0( 7)( 7) 0

t t

t t t t t

= =

+ =

0 or 7 0 or 7 00 or 7 or 7

t t t t t t

= + = == = =

.0+ 2( 4 5) 0 x x x =

! ? ! ) A@? ! < &@ % ( ! % ( 3I ! ) A % ( 3I ! < & % ( ! % ( 3I ! % A 3I ! % )&

.1+ 3 26 5 4 0 x x x+ = 2(6 5 4) 0 x x x+ =

! ?; ! ) &@?9 ! < 8@ % (


26/717

!"#$ !"#$%&'(#%$) +,#-./,#0(,1 2",1)303 !"#$%&' )*2

'"

! % ( 3I ; ! ) & % ( 3I 9 ! < 8 % (

! % ( 3I12

x = 3I 43

x =

.2+ 2

2 1 5 1 0 x x x+ + + = 2 3 2 0 x x + = ? ! ) &@? ! ) ;@ % (

! ) & % ( 3I ! ) ; % ( ! % & 3I ! % ;

.,+ 2( 3)( 4) 0( 3)( 2)( 2) 0

x x x x x

= + =

! 9 % ( 3I ! ; % ( 3I ! < ; % ( ! % 9 3I ! % ; 3I ! % ;

.3+ A? ! < 8@? ! 9@? ! =@ % (4 0 or 3 0 or 8 0

4 or 3 or 8 x x x

x x x+ = = =

= = =

.4+ 2 3( 3) 4( 3) 0 p p p = 2( 3) [ 4( 3)] 0 p p p = 2( 3) (12 3 ) 0 p p =

23( 3) (4 ) 0 p p = & ) 9 % ( 3I 8 ) & % ( & % 9 3I & % 8

/*+ 2 2( 1)( 2) 0 x x =

( )( )( 1)( 1) 2 2 0 x x x x+ + = ! < & % ( 3I ! & % (

3I 2 0 x+ = 3I 2 0 x = ! %& 3I ! % &

3I 2 x = 3I 2 x =

/-+ 2 2 24 0 x x+ = ' % &.. % ;. / % );8

2 42

b b ac x

a =

2 4 4(1)(24)

2(1)

=

2 1002

=

2 102

=

2 104

2 x

+= = 3I 2 10 62

x = =

/.+ 2 2 15 0 x x = ' % &.. % );. / % )&A

2 42

b b ac x

a =

(2) 4 4(1)(15)

2(1)

=

2 642

=

2 82

=

2 85

2 x

+= = 3I 2 8 32

x = =

//+ 24 12 9 0 x x + = ' % 8. . % )&;. / % O

2 42

b b ac x

a =

( 12) 144 4(4)(9)

2(4)

=

12 08

=

12 08

=

32

=

/0+ 2 5 0q q = ' % &.. % A. / % (

2 42

5 25 4(1)(0)

2(1)5 25

25 5

2

b b acq

a =

=

=

=

5 5 52

q += = 3I 5 5 02

q = =


27/717

,-./$"0 )1 &'()'* +, -./'012 !"#$ !"#$%&'(#%$) +,#-./,#0(,1 2",1)303

'#

/1+ 2 2 7 0 p p = ' % &.. %;. / %B

2

2

42

( 2) ( 2) 4(1)( 7)

2(1)2 32

21 2 2

b b ac p

a =

=

=

=

1 2 2 p = + 3I 1 2 2 p =

/2+ 22 2 0 x x + = 2 2 2 0 x x + =

' % &.. % );. / % ;

(2) 4 4(1)(2)2(1)

x =

2 42 =

43 I#/G I33$-

/,+ 24 2 0n n + = 2 2 4 0n n + =

' % &.. % );. / % 82 4

2b b ac

na

=

( 2) 4 4(1)(4)

2(1) =

2 122 =

43 I#/G I33$-

/3+ 22 5 x x+ = 22 5 0 x x+ =

' % ;. . % &./ % )A2 4

2b b ac

xa

=

1 1 4(2)(5)

2(2)

=

1 414

=

1 414

x += 3I 1 41

4 x

=

/4+ 24 5 2 0 x x+ = ' % 8. . % A./ % );

2 42

5 25 4(4)( 2)2(4)

5 578

b b ac x

a =

=

=

5 578

x += 3I 5 57

8 x

=

0*+ 2 2 1 0w w + = ' % &.. %;. / % &

2

2

42

( 2) ( 2) 4(1)(1)

2(1)2 0

21

b b acw

a =

=

==

0-+ 20.02 0.3 20w w = 20.02 0.3 20 0w w =

' % (7(;. . % )(79. / % );(2 4

2

b b acw

a

=

(0.3) 0.09 4(0.02)(20)

2(0.02)

=

0.3 1.690.04

=

0.3 1.30.04

=

0.3 1.3 1.640

0.04 0.04w

+= = = 3I

0.3 1.3 1.025

0.04 0.04w

= = =


28/717

!"#$ !"#$%&'(#%$) +,#-./,#0(,1 2",1)303 !"#$%&' )*2

'$

0.+ 20.01 0.2 0.6 0 x x+ = ' % (7(&.. % (7;. / % )(7>

2 42

b b ac x

a =

0.2 0.04 4(0.01)(0.6)

2(0.01)

=

0.2 0.0640.02

=

0.2 (0.0064)(10)

0.02=

0.2 0.08 100.02

=

10 4 10= 10 4 10 x = + 3I 10 4 10 x =

0/+ 22 4 5 x x+ = 22 4 5 0 x x+ =

' % ;. . % 8./ % )A2 4

2b b ac

xa

=

4 16 4(2)(5)

2(2)

=

4 564

=

4 2 144

=

2 142

=

2 142

x += 3I 2 14

2 x

=

00+ 22 6 5 0 x x + = ' % );. . % )>. / % A

2 42

b b ac x

a =

(6) 36 4(2)(5)

2( 2)

=

6 764

=

6 2 194

=

3 192

=

3 192

x += 3I 3 19

2 x

=

01+ 2 2 2( ) 5( ) 6 0 x x + = Z#$ 2 .w x= *+#4

2 5 6 0w w + = ?( ) 9@?( ) ;@ % (( % 9. ;*+,- 2 3 x = 3I 2 2, x = -3 3, 2 x = 7

02+ 2 2 2( ) 3( ) 10 0 X X = Z#$ 2 .w X = *+#4

2 3 10 0( 5)( 2) 0

w ww w

= + =

( % A. ;*+,- 2 5 X = 3I 2 2, X = -3 $+# I#/G -3G,$034-/I# 5. X =

0,+ 21 1

3 7 2 0 x x + =

Z#$1

.w x

= *+#4

23 7 2 0

(3 1)( 2) 01

, 23

w w

w ww

+ =

==

*+,-.1

3, .2

x =


29/717

,-./$"0 )1 &'()'* +, -./'012 !"#$ !"#$%&'(#%$) +,#-./,#0(,1 2",1)303

'%

03+ 1 2 1( ) 12 0 x x + = Z#$ 1 .w x= *+#4

2 12 0w w+ = ?( < 8@?( ) 9@ % (( % )8. 9

*+,-.1 1

, .4 3

x =

04+ 2 2 2( ) 9( ) 20 0 x x + = Z#$ 2 .w x= *+#4

2 9 20 0w w + = ?( ) A@?( ) 8@ % (( % A. 8

*+,-.2

15

x= 3I

21

4, x

= -3 2 15

x = 3I 2 1 .4

x =

5 1, .

5 2 x =

1*+ 2

2 21 1

9 8 0 x x

+ =

Z#$2

1.w

x= *+#4

2 9 8 0w w + = ?( ) =@?( ) &@ % (( % =. &

*+,-. 21

8 x = 3I 21

1, x = -32 1

8 x = 3I2

1. x =

2, 1.

4 x =

1-+ 2( 5) 7( 5) 10 0 X X + + = Z#$( % 8 A7 *+#4

2 7 10 0( 2)( 5) 0w ww w

+ + =+ + =

( % ;. A*+,-. 8 A %; 3I 8 A %A. -3 8 % 9. (7

1.+ 2(3 2) 5(3 2) 0 x x+ + = Z#$( % 9 ! < ;7 *+#4

2 5 0( 5) 0

0, 5

w ww w

w

= =

=

*+,- 9 ! < ; % ( 3I 9 ! < ; % A. -32

, 1.3

x =

1/+ 21 1

12 35 02 2 x x

+ =

Z#$1

,2

w x

=

$+#4

2 12 35 0w w + = ?( ) B@?( ) A@ % (( % B. A

*+,-.1

72 x

=

3I1

5.2 x

=

15 11, .

7 5 x =

10+ 21 1

2 7 3 04 4 x x

+ + = + +

Z#$1

4w

x=

+ 7 *+#4

22 7 3 0w w+ + = ?; ( < &@?( < 9@ % (

1, 3

2w =

*+,-.1 1

4 2 x=

+ 3I

13

4 x=

+ 7

136,

3 x =

11+ 2 3

2

x x

+= 22 3 x x= + 22 3 0 x x =

?; ! ) 9@? ! < &@ % (

*+,-.3

, 1.2

x =

12+ 7 5

2 2 x

x=

N,G$0LG:04D 53$+ -06#- 5: $+# ZaJ. ; ! . D0F#-2 14 5 x x= 2

5 14 0 x x+ = ? ! ) ;@? ! < B@ % (*+,-. ! % ;. )B7


30/717

!"#$ !"#$%&'(#%$) +,#-./,#0(,1 2",1)303 !"#$%&' )*2

'&

1,+ 3 3

24

x x x

+ =

N,G$0LG:04D 53$+ -06#- 5: $+# ZaJ. ! ? ! ) [email protected]#-9 ! < ? ! ) 9@? ! ) 8@ % ; ! ? ! ) 8@

2 23 7 12 2 8 x x x x x+ + = 2 24 12 2 8 x x x x + =

20 4 12 x x= ( % ? ! ) >@? ! < ;@*+,-. ! % >. );7

13+ 2 6

52 1 1 x x

=+

N,G$0LG:04D 53$+ -06#- 5: $+# ZaJ.?; ! < &@? ! &@. D0F#-

2

2

2( 1) 6(2 1) 5(2 1)( 1)

10 8 10 5 50 10 5 3

x x x x

x x x x x

+ = +

= = + +

' % &(.. % A./ % 92 4 25 4(10)(3) 95 0,b ac = = $+,- $+#I#

/I# 43 I#/G I33$-7

14+ 3 2 2 1

11 2

x x x x

+ + =+

N,G$0LG:04D 53$+ -06#- 5: $+# ZaJ. ; ! ? ! < &@.D0F#-

2 2 2

2 2

2

2 (3 2) (2 1)( 1) 2 ( 1)

6 4 (2 3 1) 2 2

4 1 2 2

2 1 0(2 1)( 1) 0

x x x x x x

x x x x x x

x x x x

x x x x

+ + + = ++ + + = +

+ = + =

+ =

*+,-.1

, 1.2

x =

2*+ 6( 1)

32 1w w

w w+ + =

N,G$0LG:04D 53$+ -06#- 5: $+# ZaJ.?; ) ( @?( ) &@. D0F#->?( < &@?( ) &@


31/717

,-./$"0 )1 &'()'* +, -./'012 !"#$ !"#$%&'(#%$) +,#-./,#0(,1 2",1)303

)(

20+ 2 3 4

1 2 x x x+ =

+ +

N,G$0LG:04D 53$+ -06#- 5: $+# ZaJ. ! ? ! < &@? ! < ;@. D0F#-

2 2 2

2 2

2

2 ( 2) 3( 1)( 2) 4 ( 1)

2 4 3 9 6 4 4

5 13 6 4 4

9 6 0

x x x x x x

x x x x x x

x x x x

x x

+ + + + = ++ + + + = +

+ + = ++ + =

' % &.. % O./ % >2

2

42

9 9 4(1)(6)

2(1)9 57

2

b b ac x

a =

=

=

*+,-.9 57 9 57

, .2 2

x + =

21+ 2 22 1 2

( 1)1 x x x x =

N,G$0LG:04D 53$+ -06#- 5: $+# ZaJ.2 ( 1)( 1), x x x+ D0F#-

22 ( 1) 2( 1)( 1) x x x x x + = + 2 2 22 2 2 x x x x =

2 22 2 x x x = 20 2 x x= +

( % ? ! < ;@? ! &@ ! % ); 3I ! % &S,$ ! % & 63#- 43$ H+#HX7 *+# -3G,$034 0- );7

22+ b1 ! )9. $+# #2,/$034 0-3 1

5 . x

x x =

N,G$0LG:04D 53$+ -06#- 5: ! D0F#-A ! ) 9 % & ) ! > ! % 8

23

x =

2,+ ( )2 22 3 ( 3) x x = 22 3 6 9 x x x = +

20 8 12 x x= + ( % ? ! ) >@? ! ) ;@

! % > 3I ! % ;c4G: ! % > H+#HX-7

23+ ( )2 23 4 ( 6) x x+ = 29 36 12 36 x x x+ = +

20 21 x x= ( % ! ? ! ) ;&@

! % ( 3I ! % ;&c4G: ! % ;& H+#HX-7

24+ ( )22( 2) 2 4 7q q+ = 2 4 4 16 28q q q+ + = 2 12 32 0q q + =

?% ) 8@?% ) =@ % (*+,-. % % 8. =7

,*+ ( ) ( )2 2 5 0 x x+ = Z#$ ,w x= $+#4 2 2 5 0w w+ = ' % &.. % ;. / %A

2 42

b b acw

a =

2 4 4(1)( 5)

2(1)2 24

22 2 6

21 6

w =

=

=

=

"04H# w x= /46 1 6 0, 1 6w = 63#- 43$ H+#HX7 *+,- 1 6,w = + -3

( )21 6 7 2 6. x = + =

,-+

( ) ( )

( )

2 2

22

2

2

3 3 1

3 3 1

3 3 2 3 1

2 2 2 3

1 3( 1) 3

2 1 3

5 1 0

z z

z z

z z z z z

z z z z

z z z

z z

+ = +

+ = ++ = + +

+ =

+ = + =

+ = + =

' % &.. %A. / % &


32/717

!"#$ !"#$%&'(#%$) +,#-./,#0(,1 2",1)303 !"#$%&' )*2

)!

2

2

42

( 5) ( 5) 4(1)(1)

2(1)5 21

2

b b ac z

a =

=

=

c4G:5 21

2 z

= H+#HX-7

,.+ 2 2 8 x x =

( ) ( )2 22 2 8 x x = 4 4 2 8 x x x + =

4 12 x x =

( )2 24 ( 12) x x = 216 24 144 x x x= +

20 40 144 x x= + ( % ? ! ) 8@? ! ) 9>@

! % 8 3I ! % 9>c4G: ! % 8 H+#HX-7

,/+ 1 2 1 x x+ = +

( ) ( )2 21 2 1 x x+ = + 2 1 2 1 x x x+ + = +

2 x x=

( )2 22 x x= 24 x x=

20 4 x x= ( % ! ? ! ) 8@*+,-. ! % (. 87

,0+ ( ) ( )2 22 2 2 3 y y + = + 2 4 2 4 2 3 y y y + + = +

4 2 1 y y = +

( )2 2

4 2 ( 1) y y = + 216 32 2 1 y y y = + +

20 14 33 y y= + ( % ? # ) &&@? # ) 9@*+,-. # % &&. 97

,1+ ( ) ( )

( )

2 2

2 2

2

2

3 1 3

3 2 3 1 9

2 3 8 4

3 4 23 (4 2)

3 16 16 4

0 16 17 10 (16 1)( 1)

x x

x x x x x

x x x x

x x x

x x x x

+ + =+ + + + =

+ =

+ = + =

+ = += +=

116

x = 3I ! % &

c4G: ! % & H+#HX-7

,2+ ( ) ( )

( )

2 2

2 2

2

2

2 3 1

2 3 13 1

(3 1)

9 6 1

0 9 7 1

t t

t t t t

t t

t t t

t t

+ = +

+ = +=

=

= += +

' % O.. %B. / % &2

2

42

( 7) ( 7) 4(9)(1)

2(9)7 13

18

b b act

a =

=

=

c4G:7 13

18+

H+#HX-7

,,+ 2 ( 2.7) ( 2.7) 4(0.04)(8.6)

2(0.04) x

=

>87&A 3I 979A

,3+ 2 0.2 (0.2) 4(0.01)(0.6)

2(0.01)

x =

;7>A 3I );;7>A


33/717

,-./$"0 )1 &'()'* +, -./'012 !"#$ !"#$%&'(#%$) +,#-./,#0(,1 2",1)303

)'

,4+ Z#$9 5# $+# G#4D$+ 31 $+# L0H$,I#. $+#4 0$- M06$+ 0-9 ) ;79?9 ) ;@ % 8=

2 2 48 0l l = ?9 ) =@?9 < >@ % (9 ) = % ( 3I 9 < > % (9 % = 3I 9 % )>"04H# G#4D$+ H/443$ 5# 4#D/$0F#.9 % =7 *+# M06$+31 $+# L0H$,I# 0-9 ) ; % = ) ; % > 04H+#-7*+# 60T#4-034- 31 $+# L0H$,I# /I# > 04H+#- 5:= 04H+#-7

3*+ *+# /T3,4$ $+/$ $+# $#TL#I/$,I# +/- I0-#4 3F#I$+# 8 6/:- 0-? 8 6#DI##- L#I 6/:@? 8 6/:-@ % 2 X 6#DI##-7

2 15 51 X + = 2 36 X =

36 X = 8 % > 3I 8 % )>*+# $#TL#I/$,I# +/- 5##4 I0-04D > 6#DI##- L#I6/: 13I > 6/:-7

3-+ ( 10)

44Q Q

M +=

244 10Q Q= + 20 10 44Q Q M = +

dI3T $+# 2,/6I/$0H 13IT,G/ M0$+ ' % &.. % &(.44 ,c M =

10 100 4(1)(44 )2(1)

Q =

10 2 25 442

+ +=

5 25 44= + *+,-. 5 25 44 + + 0- / I33$7

3.+ 2200 200 20 g P P = + + "#$ : % >(7

2

2

2

60 200 200 20

200 200 40 0

5 5 1 0

P P

P P

P P

= + + + =

+ =

dI3T $+# 2,/6I/$0H 13IT,G/ M0$+ ' % A.. %A./ % &.

5 25 4(5)(1) 5 52(5) 10

P = =

* (7;= 3I * (7B;;=` /46 B;` 31 :#/-$ D/F# /4 /F#I/D# M#0D+$D/04 31 >( DI/T-7

3/+ 1

.12 24

A Ad d

A+=

+

J0F0604D 53$+ -06#- 5:- /46 $+#4 T,G$0LG:04D53$+ -06#- 5: ;8? ; < &;@ D0F#-;8 ; % ? ; < &;@? ; < &@

224 13 12 A A A= + + 20 11 12 A A= +

dI3T $+# 2,/6I/$0H 13IT,G/.11 121 48 11 73

.2 2

A = =

11 7310

2 A

+= 3I 11 73 1.2

A =

*+# 63-#- /I# $+# -/T# /$ & :#/I /46 &( :#/I-7

/ %- 04 a3MG04DW- I,G# M+#41

1,24

A+ = M+0H+

3HH,I- M+#4 ; % ;97 *+,-. /6,G$+336 0- /H+0#F#6/$ /D# ;9 /HH3I604D $3 a3MG04DW- I,G#7

/ %- 04 e3,4DW- I,G# M+#4 1,12

A A

=+

M+0H+ 0-

4#F#I $I,#7 *+,-. /6,G$+336 0- 4#F#I I#/H+#6/HH3I604D $3 e3,4DW- I,G#7

00 25

1

e3,4DW- I,G# LI#-HI05#- G#-- $+/4 a3MG04DW- 13I/D#- G#-- $+/4 34# :#/I /46 DI#/$#I $+/4 &( :#/I-7a3MG04DW- I,G# LI#-HI05#- G#-- 13I /D#- 5#$M##4

& /46 &(7

30+ 5+ 2(2 1) 2 1 0n v nv + = dI3T $+# 2,/6I/$0H 13IT,G/ M0$+ ' % ;0 ) &.. % ); 0. / % &.

2 (2 ) 4 4(2 1)(1)

2(2 1)

n n nv

n

=

22 4 8 42(2 1)

n n nv

n +=

22 ( 1)2 2 2 1

2(2 1) 2 1

n nn n nv

n n

+= =

S#H/,-# 31 $+# H3460$034 $+/$0 &. 0$13GG3M- $+/$0 ) & 0- 4344#D/$0F#7 *+,-.

2( 1) 1n n = /46 M# +/F#( 1)

.2 1

n nv

n =

6 % & 3I1

.2 1

vn

=


34/717

!"#$ !"#$%&'(#%$) +,#-./,#0(,1 2",1)303 3.$-"4.$%#.5 !'./6-&$ ,-./$"0 )

))

$+ 2 (2 1) 1 0nv n v + + = dI3T $+# 2,/6I/$0H 13IT,G/ M0$+ ' %0.. % )?; 0 < &@. /46/ % &.

2[ (2 1)] [ (2 1)] 4( )(1)

2

n n nv n

+ + =

22 1 4 12

n nv

n+ +=

S#H/,-# 24 1n + 0- DI#/$#I $+/4 ;0.H+33-04D $+# LG,- -0D4 D0F#- / 4,T#I/$3IDI#/$#I $+/4 ;0 < & < ;0. 3I 80 < &. -3 6 0-

DI#/$#I $+/44 1 1

2 .2 2n

n n+ = + *+,- 6 0-

DI#/$#I $+/4 ;7 *+0- H34$I/60H$- $+#I#-$I0H$034 3467 c4 $+# 3$+#I +/46. 5#H/,-#

24 1n + 0- DI#/$#I $+/4 &. H+33-04D $+#T04,- -0D4 D0F#- / 4,T#I/$3I G#-- $+/4 ; 0.

-3 6 0- G#-- $+/42

1.2

nn

= *+0- T##$- $+#

H3460$034 3467 *+,- M# H+33-#22 1 4 1

.2

n nv

n+ +=

31+ 5+ Y+#4 $+# 35f#H$ -$I0X#- $+# DI3,46.1 T,-$5# (. -3

20 39.2 4.9 4.9 (8 )t t t t = = $ % ( 3I $ % =

*+# 35f#H$ M0GG -$I0X# $+# DI3,46 = - /1$#I5#04D $+I3M47

$+ "#$$04D1 % >=7; D0F#-2

268.2 39.2 4.9

4.9 39.2 68.2 0

t t

t t

= + =

239.2 ( 39.2) 4(4.9)(68.2)

2(4.9)39.2 14.1

9.8

t =

$ A78 - 3I$ ;7> -7

32+ S: / LI3DI/T. I33$- /I# 87A /46 )97CGD#5I/0H/GG:'

22 3 27 0 x x = ?; ! ) O@? ! < 9@ % (*+,-. ; ! ) O % ( 3I ! < 9 % (

"39

4.52

x = = 3I ! % )97

3,+ S: / LI3DI/T. I33$- /I# &7A /46 (7BA7CGD#5I/0H/GG:'

28 18 9 0 x x + = ?; ! ) 9@?8 ! ) 9@ % (*+,-. ; ! ) 9 % ( 3I 8 ! ) 9 % (7

"33

1.52

x = = 3I 3 0.75.4

x = =

33+ S: / LI3DI/T. I33$- /I# (7B>; /46 (7;>;7

34+ S: / LI3DI/T. $+#I# /I# 43 I#/G I33$-7

4*+ 29

6.3 (1.1 7 )2 3

z z z =

2 29 1.1 76.32 3 3

z z z =

29 7 1.16.3 02 3 3 z z

+ =

K33$-' (7O=B. )(7O98

4-+ 2( 4) 4.1 3t t = 2 2 8 16 4.1 3t t t + = 2 2 (8 4.1) 19 0t t + + =

K33$-' &7OOO. (7O>9

6578&'579:5% ;85=7&" *

-+

.+ *+# LI3H#6,I# M3IX- 5#H/,-# T,G$0LG:04D / G0-$5: / 4,T5#I 0- $+# -/T# /- T,G$0LG:04D #/H+#G#T#4$ 04 $+# G0-$ 5: $+# 4,T5#I. /6604D /4,T5#I $3 / G0-$ +/- $+# #11#H$ 31 /6604D $+#4,T5#I $3 #/H+ #G#T#4$ 31 $+# G0-$. /46-,5$I/H$04D 34# G0-$ 1I3T /43$+#I 0- $+# -/T# /--,5$I/H$04D H3II#-L34604D #G#T#4$-7 *+# LG3$-T/$H+7

/+

*+# I#-,G$- /DI##7


35/717

,-./$"0 )1 &'()'* +, -./'012 !"#$ !"#$%&'(#%$) +,#-./,#0(,1 2",1)303

)*

0+ *+# -T/GG#I 2,/6I/$0H I#-06,/G- 0460H/$# / 5#$$#I10$7 *+# 1/0IG: I/463T L/$$#I4 -,DD#-$- $+/$ $+#T36#G H/443$ 5# 0TLI3F#6 /4: 1,I$+#I7 *+#-G0D+$ 6#F0/$034- 1I3T $+# 2,/6I/$0H T36#G /I#LI#-,T/5G: 6,# $3 I/463T T#/-,I#T#4$ #II3I-7


36/717

!"

"#$%&'( )

*(+,-'./ )0)

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

! !

, !

, ! 3+ *4#* 5 67728, ! 9! 5 677

22 800w = 2 400w =

! 5 ,7 0$3&:; $ -#+.$& (; /:+$ /0 0#+?(+.+##)#) (; ,8#+;(/+; *4# D7 0$ %E A77 0$2

20 "#$ $ 5 +:>%#4 /0 /:+?#; (+ #*?& 1*4$2 3+ '#&*F#%#4 /0 /:+?#; (+ #*?& 1*4$2 3+ '#&*F#

, $ @ A$ 5 ABC$ 5 AB163

n =

3&:; $ $:41#+$(+# +##)#) (;16 1

(1) 53 3

n = = /:+?#;2

50 "#$ ! 5 '()$& 8(+ >(-#;9 /0 ;$4(1 $/ %# ?:$2 3+$ 4#>*(+(+. 0/4#;$ &*; )(>#+;(/+; , I , ! %EA I , ! 2

!

!

! ! A

, I , !

,

A I , !

J/+;()#4(+. $ *4#* /0 $ 4#>*(+(+. 0/4#;$= '#&*F#

3(2 2 )(1 2 )

4w w =

2 32 6 44

w w + =

28 24 16 3w w + = 216 24 5 0w w + =

8

K#+?#1 5

, .4 4

w = L:$ 54

w = (; (>1/;;(%-# ;(+?#

/+# )(>#+;(/+ /0 /4(.(+*- 0/4#;$ (; A >(2 3&:;

$ '()$& /0 $ ;$4(1 ;&/:-) %#14

>(2

60 "#$ ! 5 '()$& 8(+ >#$#4;9 /0 1*F#>#+$2 3#>*(+(+. 1-/$ 0/4 0-/'#4; &*; )(>#+;(/+;6 I , ! %E < I , ! 2

!

!

! ! #+$ ;&/:-) %# A >2

70 M(+?# )(*>#$#4 /0 ?(4?:-*4 #+) (; A>= $

4*)(:; (; H7 >>2 N4#* /0 ?(4?:-*4 #+) (;2 2( radius) (70) . = N4#* /0 ;O:*4# #+) (; 2 . x PO:*$(+. *4#*;= '# &*F# 2 2(70) . x =

3&:; 2(70) 70 . x = = M(+?# ' >:;$ %#1/;($(F#= 70 124 x = >>2

80 "#$ ( 5 +:>%#4 /0 $/+; 0/4 QDB7=777 14/0($2R4/0($ 5 3/$*- S#F#+:# I 3/$*- J/;$560,000 134 (82 120,000)560,000 52 120,000680,000 52

680,00052

13,076.9 13, 077 tons.

q qqq

q

q

= += =

=

)90 "#$ ( 5 4#O:(4#) +:>%#4 /0 :+($;2R4/0($ 5 3/$*- S#F#+:# I 3/$*- J/;$150,000 50 (25 500,000)150,000 25 500,000650,000 25 , from which

26,000

q qqq

q

= += ==

))0 "#$ ' 5 *>/:+$ *$ BT *+)

,7=777 I ' 5 *>/:+$ *$1

7 %.2

' 8727B9 @ 8,7=777 I ' 98727HD9 5 A/:+$ '(-- %# 21, 000,000(1 )r + 1-:; $(+$#4#;$ /+ $&(;= '&(?& (; 21,000,000(1 ) .r r + 3&:; $ $/$*- F*-:# *$ $ #+) /0 $ $&(4) E#*4'(-- %# 2 2

31,000,000(1 ) 1,000,000(1 )

1,000,000(1 ) .

r r r

r

+ + += +

3&(; >:;$ #O:*- QA=A,D=67723

3

1,000,000(1 ) 1,125,8001,125,800

(1 ) 1.12581,000,000

1 1.040290.04029

r

r

r r

+ =

+ = =

+

3&:; * 727


38/717

23-4 !"#$%&'(#%$) +,#-./,#0(,1 2",1)303 +&,%-./ )0)

!$

)60 "#$ $ 5 +:>%#4 /0 4//> *11-(?*$(/+; ;#+$ /:$272GD$ 5 HB

7680

0.95n = =

)70 "#$ $ 5 +:>%#4 /0 1#/1-# 1/--#)272,7 ) 5 H77

7003500

0.20 p = =

)80 "#$ + 5 >/+$&-E ;*-*4E /0 )#1:$E ;(00272C7+ 5 ,77

2000.30

s =

200Yearly salary 12 12 $8000

0.30 s

= = =

190 X#*4-E ;*-*4E %#0/4# ;$4(Y# 5 8H2D798698,B795 QAD=B77"/;$ '*.#; 5 8H2D798698*-92" 8AD=B779 5 ,HB7

27600.177 17.7%

15,600 P = =

1)0 "#$ ( 5 +:>%#4 /0 ?*4$4().#; ;/-) $/ %4#*Y #F#+2$/$*- 4#F#+:# 5 $/$*- ?/;$21.95 14.92 8500

7.03 85001209.10

q qqq

= +=

A,7G ?*4$4().#; >:;$ %# ;/-) $/ *114/V(>*$#-E%4#*Y #F#+2

110 "#$ $ 5 +:>%#4 /0 ;&*4#; /0 ;$/?Y $/ %# %/:.&$2$/$*- (+F#;$>#+$ 5 #= $+ . 5 "*/ 2 3/ $4(1-# *+ (+F#;$>#+$ /0" *$ $ #+) /0/ E#*4;= $ (+$#4#;$ #*4+#) ):4(+.$&*$ $(># >:;$ #O:*- ," 2 3&:;, " 5 " 8727


39/717

!"#$%&' )* "##$%&'(%)*+ '*, -)./ "$0/1.' 23-4 !"#$%&'(#%$) +,#-./,#0(,1 2",1)303

!%

3&:;8A,7 @! 9867 @! 9 5 ,86798A,79

29600 200 19, 200w w+ + = 2 200 9600 0w w+ =

8! @ ,/:4 ;$/?Y;2 3+ $ ?:44#+$

F*-:# /0 $ %-:#Z?&(1 ;$/?Y (;1

,10

x x+ /4 11 .10

x

U/4 $ .-*>/:4 ;$/?Y; $ ?:44#+$ F*-:# (;1

(3,100,000 ) (3,100,000 ),

10

x x '&(?&

;(>1-(0(#; $/9

(3,100,000 ).10

x

3&:; 0/4 $ ?:44#+$ F*-:# /0 $ 1/4$0/-(/=11 9

(3,100,000 ) 3, 240,00010 10

x x+ =

AA ' @ ,H=G77=777 I G ' 5 C,=#+$ (;11

(2,250,000)10

/4 Q,=


40/717

23-4 !"#$%&'(#%$) +,#-./,#0(,1 2",1)303 +&,%-./ )0)

!&

!!

AD7

R"N]3

NSPN

C77 I , !

3&:;! 8C77 I , ! 9 5 AA=,77, ! 8AD7 I! 9 5 AA=,77! 8AD7 I! 9 5 DB77

20 150 5600w w= + 7 5 8! I 6798! I H79K#+?# ! 5 67= H72 [0! 5 H7= $+ -#+.$& (;C77 I , ! 5 C77 I ,8H79 5 AB72 M(+?# $%:(-)(+. &*; -#+.$& /0 /+-E AD7 0$= '# 4#^#?$! 5H72 [0! 5 67= $+ -#+.$& (;C77 I , ! 5 C77 I ,8679 5 A#+;(/+; *4# 67 0$ %E A# /0 $ +#' ;$E-#?*+)E= '# &*F#

2 22

2

(7.1) (2.1) (2.1) 0.78(97.461 )29.84142 2.1

14.21023.7696

r r

r r

= = =

M(+?#* (; * 4*)(:;= '# ?&//;# * 5 C2HH >>2

280 "#$ ' 5 *>/:+$ /0 -/*+2 3+ $ *>/:+$*?$:*--E 4#?#(F#) (; ' 72AB ' 2 K#+?#=

0.16 195,0000.84 195,000

232,142.86

x x x x

==

3/ $ +#*4#;$ $&/:;*+)= $ -/*+ *>/:+$ (;

Q,C,=7772 [+ $ .#+#4*- ?*;#= $ *>/:+$4#?#(F#) 04/> * -/*+ /0 2 '($& * ?/>1#+;*$(+.

%*-*+?# /0 ) T (; .100 p

L L

100100

100100

100

p L L E

p L E

E L

p

= =

=

390 "#$ $ 5 +:>%#4 /0 >*?&(+#; ;/-) /F#4 B772 3+

$ ?/>>(;;(/+ /+ #*?& /0 B77 @ $ >*?&(+#; (;(;;(/+; $/C7=677 '# /%$*(+8B77 @$98


41/717

!"#$%&' )* "##$%&'(%)*+ '*, -)./ "$0/1.' 23-4 !"#$%&'(#%$) +,#-./,#0(,1 2",1)303

'(

W# ?&//;# 32 36

100.0.04

n += = 3&:; $

+:>%#4 /0 >*?&(+#; $&*$ >:;$ %# ;/-) (;B77 @ A77 5 H772

3)0 "#$ $ 5 +:>%#4 /0 *?4#; ;/-)2 3+ $ @ ,7 *?4#;

'#4# /4(.(+*--E 1:4?&*;#) *$ * ?/;$ /07200

20n +

#*?&2 3 14(?# /0 #*?& *?4# ;/-) '*;7200

30 .20n

+ + M(+?# $ 4#F#+:# 04/> ;#--(+.$

*?4#; (; QH,77 8$ /4(.(+*- ?/;$ /0 $ 1*4?#-9='# &*F#

720030 7200

20n

n + = +

30 600 72007200

20

nn

n

+ + = +

$8C7$ @ B77 @ H,779 5 H,778$ @ ,79230 7800 7200 144, 000n n n+ = + 230 600 144, 000 0n n+ =

2 20 4800 0n n+ = 8$ @ 6798$ I B79 5 7$ 5 B7 *?4#; 8;(+?# $ \ 79= ;/ B7 *?4#; '#4# ;/-)2

310 "#$ ( 5 +:>%#4 /0 :+($; /0 14/):?$ ;/-) -*;$ E#*4*+) ( @ ,777 5 $ +:>%#4 ;/-) $&(; E#*42 3+$ 4#F#+:# -*;$ E#*4 '*; C( *+) $&(; E#*4 ($ (;C2D8( @ ,77792 LE $ )#0(+($(/+ /0 >*4.(+ /014/0($= ($ 0/--/'; $&*$

7140 45000.02

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46 56 66 76 86 96 106532

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1;0 2( ) 5 3 H s s= 2(4) 5(4) 3 80 3 77 H = = =

( ) ( )22 5 2 3 10 3 7 H = = = 22 2 20 7

5 3 33 3 9 9

H = = =

1


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2(1) (1) 2(1) 1 1 2 1 0 f = + + = + =

22 2

( ) ( ) 2( ) 12 2 2 1

f x h x h x h x xh h x h

+ = + + + += + + + + +

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2 2( 4) [( 4) 4] H t t t = + =

)80 27

( )2

xk x

x

=+

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275 2k = =

+

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x x

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x h x hk x h

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+ + + = =+ + + + +

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( 1) ( ) ( 1) 3 32 3

k x k x x x x x

+ = + =

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31 1 1 1 18 8 8 2 16

f = = = =

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( )22 / 5 5

( 64) ( 64) 64 g = =

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10 10 2 / 5 4( ) ( ) g t t t = =

)


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6 3 2

6 3 2

f x h f x x xh h x h x xh h

xh h hh

x h

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+ =

= +

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3 2 2 4( 2 )

f x h x h x h

x h x xh h

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2

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2 8 4

2 8 4

f x h f x x h x xh h x xh h

h xh hh

x h

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$0 3 3 2 2 3( ) ( ) 3 3 f x h x h x x h xh h+ = + = + + +

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h+ + + =

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+ += 2 23 3 x xh h= + +

480 1

( ) f x x

=

$0 1( ) f x h x h

+ = +

20 ( )1 1

( )( ) ( ) 1( ) ( )

x x h x x h x h x f x h f x h

h h h x x h h x x h

+++ + = = = =

+ +

490 8

( ) x

f x x+=

$0 ( ) 8 8

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f x h x h x h+ + + ++ = =

+ +

20 8 8( ) ( ) x h x x h x f x h f x

h h

+ + ++ + = ( )

8 8( )

( )

x h x x h x x x h

x x h h

+ + +++ =

+( 8) ( )( 8)

( ) x x h x h x

x x h h+ + + +=

+

2 28 8 8( )

x xh x x hx x h x x h h

+ + =+

8 8( ) ( )

h x x h h x x h

= = + +


59/717

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[15 5 3] [15 3]

18 5 18

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5

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2

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f x f x x x x

Sol Mat Haeussler ByPriale

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