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B 1A B 5

1A f2de A 1S sin 1 D s 1 S 6

' ed g ed 'g Aed S A 1 S 7 8 9 FIX SCI M 7

H I G 8 C 1A fc ] d A A def c 8

= ' 1A 1 1 9

1A 1 2 1A 1 3 1A 1 4 10

1A cf 12 34 123 1 11

/1= 2 /1= 3 xx xx /1= 1 = = 12 12 1abi2ra bir abi ir 12 12

12 1fx2fxgx fxfxgx 12 12 12 1English2 191= = 13

4* s30)*(30+ 10*3)= = k = '' 14

x x x x r %'t x^" n (-) w=x -w= ' mnmm nrnr ' 15

1'( 3e1e2 e+1'( 5e3e2= 1 e 1 d 1d = Ade 16

= SY SY A ' 1+7'6 dddd1y! 1Y 17

1Y I f 'π π π 15(π)/6= 1 6 π f 0.5235987756 ' ''' (!2e+2)*!3= 5.913591358 f '6 + 2'3 f 1/5= 0.2 f 18 1 5

1-4'5= 1{5 f 0.2 f f 1== 2'3e+1'2= 2'3+1'2= 7{6 4-1'(3e1c2= 4-3' 1 '2= 1{2 7 6 1 2 19

1f< 1G 150*201G(%)= 30 660/8801G(%)= 75 3500-3500*251G(%)= 2625 $ $ $ 2$ 20 $ 30 $+ 0 $ 39 $ 30 $= 3 0 0 2$ 15 $ 18 $= 2 15 18 $ 2.255 $ 2 15 18 20

= 3+ 3 S7(:) 3 * 3 = 6 = 9 1234 = 1234 W 1.234 10 3 W 1234 10 0 123 = 123 1W( ) 0.123 10 3 1W( ) 0.000123 10 6 21

500 C3 6(k)= 999 C36(k)+ 25 C36(k)= W W 3.75 C37(M)/ 25 C36(k)= 1W 1W 22

5 S'( R) 2= 1014 = 1$(FACT) 1$ = 23

fc 1 + 1 = 2 2+ 2 = 4 3+ 3 = 6 f 4 f 2 B de 4 * 3 + 2 = 14 dyy-7= 5 14*13= /7= 24

123+456= 789-G= xy xy 3+58y(A) 8 Sy(A)*10= 80 18 y(a)= 8 0 8y(A) 0 S x S)x 18 xy A 25

0 8l(M) 0 10*5l 50 10+ 5 1l(M ) 15 18l(M)= 35 A!92= A π π π e e e 26

1 1 1 s30)= 1 2 1 1s(sin 1 ) 0.5 )= 30 1 1 1 Cb Cbb(sinh) 1 )= 1.175201194 1 Cbf(cosh 1 ) 1 )= 0 Cf1 r r Cc π (15(π)/ 2 ) Ccc( r )= 90 50 Ccd( )= 45 Cf2 $% e 5 1Adc3 1i(%) 5 e* 2 = 2.97 10 2 27

1i(%) 5 )* 2 = 2.97 10 2 1 y aba 1y(log) 1000 )= 3 1y(log) 21)(,) 16 )= 4 & & 2 e 16 = 4 e e 1A323 i90)= 4.50 10 0 x 2 x 3 x^)#"x 1 3 1.2*1063= 1200 22 (1+ 1 )62 + 2 = 16 2 3 ( 5 x)1w(x 3 )= 15625 16(") 5 e 32 = 2 516(") 32 )= 2 28

' ' 1A313! 2 e* 3 = 3'2 1= 4.243! 2 )* 3 = 4.243 b a f(x) ( f(x) a btol)tol tol e 1ln(x) 7iS)(x))e 1 e S5e= 1 7iS)(x))1)(,) 11)(,)S5(e))= 1 fx tol tol 1 fx a x b x 0 fx F 29

dx d ( f(x)) x=a dx d ( f(x)atol)tol tol xπyx 17(F)sS)(x)) e'15(π)e 2 = 0 17(F)sS)(x)) 1)(,)15(π)' 2 )= 0 fx tol tol b 8fx Σ ( f(x)) fa x=a fafafb b Σ ( f(x)) x=a Σfxa ba b a b 5 Σ x x = 1 30

1D(8)S)(x)+ 1 e 1 e 5 = 20 1D(8)S)(x)+ 1 1)(,) 1 1)(,) 5 )= 20 xyr rxy rxy xy ' ' 1+(Pol)! 2 e 1)(,)! 2 e)= r=2,=45 1+(Pol)! 2 ) 1)(,)! 2 ))= r= 2 = 45 ' 1- (Rec)! 2 e 1) (,) 45 )= x=1, y=1 31

x ( 5 + 3 )1E(x!)= 40320 1((Abs) 2-7 e* 2 = 10 1((Abs) 2-7 )* 2 = 10 10001.(Ran#)= 459 = 48 = 117 ab ab S.(RanInt) 1 1)(,) 6 )= 2 = 6 = 1 nprncr nrnr 32

101*(nPr) 4 = 5040 101/(nCr) 4 = 210 1A313 10 / 3 * 3 = 10.000 10(Rnd) 10 / 3 )* 3 = 9.999 abi r i i iabi ( 1 +W(i))6 4 e+( 1- W(i))w= 4 2i ' ' i abi 2 1W( ) 45 ='2 '2 i 33

' ' i r! 2 e+! 2 ew(i)= 2 45 abi n n abi r iabi C22 +3 W(i))= 2 3i i 1((Abs) 1 +W(i)= '2 C11 +W(i))= 45 i C3 2+3W(i))= 2 C4 2+3W(i))= 3 'r 'abi ' ' i ' ' i 34

! 2 e+! 2 ew(i) Cc1('r )= 2 45 21W( ) 45 Cc2('abi)='2 '2 i xyxyi xyxxy yx x sa 3 S-(A)+Se(B) s 5 = 10 == yxxxxy xy 35

1s A x bxb S)(x)w+Se(B) Ss() 0 1s(SOLVE) x 1= y2= f x x = = A x 36

yxye x y'x x 1 xy 2 xy 3 xy) 4. xye c1. e xyab c2. xy c3. xy c4 C1 x xxy x y 37

A C3C4 C1 2(yaxb) 170 = 173 = 179=ce 66 = 68=75 = = Y C2 1 C22 38

C3 C2 C4 C3 σxσx 2 A ΣxΣx 2 ΣyΣy 2 ΣxyΣx 3 Σx 2 yσx 4 Cc118 n o p σ 2 x* σ 2 yσxσys 2 x* s 2 ysxsy Cc218c1c3 minxminymaxx maxy 39

Cc315 Cc314 Q1Med Q3 Cc324 abrmn Cc415 abc m mn Cc416 mmmn Cc4 x xnn 1A c31 C11 1 = 2 = 3 = 4 = 5 = ce 1 = 2 = 3 = 2 = ACc21(o)= 40

xy 1Ac32 1A313 C14(yab ln(x)) 20 = 110 = 200= 290= ce3150= 7310 = 8800= 9310= ACc43(r)= ACc41(a)= ACc42(b)= y x x xx y xy A 160 Cc4 5(n)= Cc4 41

t P (t) Q (t) R (t) 0 t 0 t 0 t 'tx xnn x t 't 1Ac31 1A313 C11 0 = 1 = 2 = 3 = 4 = 5 = 6 = 7 = 9 =10=ce 1=2=1=2=2=2= 3= 4 = 2= 1= A 3 Cc4 4('t)= Cc4 1(P()G)= n w 6 & 42

i &(BIN) 11 + 1 = A6(HEX) 1 t(f)+ 1 = -$Xsc t x x x x x x x 43

Aw(DEC) Cc1(d) 10 +Cc2(h) 10 + Cc3(b) 10 +Cc4(o) 10 = 36 x 6 & i Ax(DEC) 15 * 37 = 555 6(HEX) 0000022B &(BIN)0000 0000 0000 0000 0000 0010 0010 1011 i(oct) 00000001053 C & 44

A 1010 C3(and) 1100 = 0000 0000 0000 0000 0000 0000 0000 1000 AC2(Not) 1010 )= 1111 1111 1111 1111 1111 1111 1111 0101 1 24 2 24 45

x 2 x 2 2 abc 2= 1= - 3= = A = = = xy8 A A= ' C1 C2 xyxy C121 = 2 = 3 =2 = 3 = 4 = = (x=) 1 c (y=) 2 46

x 2 x C22 2 =y 3=y 6 == (x 1 =) c (x 2 =) 47 c (x=) yx xx c (y=) yx xy yax bxc xy 2 1 1 1 1 2 2 1 122 2=1=1=1= C12 22

2=-1=-1=2= A C3*C4= Cc1 +-*/E w1wx 3 C1 1 4 14 48

1 0 1 0 1 1 C13(MatC)23 1 = 0 = -1 = 0 = - 1 = 1 = C2 = Cc1= 8 -$X s 2 1 1 1 2 1 1 2 1 0 1 0 1 1 A 3 *MatA= ACc2MatA)= 1 49

ACc42) +MatA= ACc3MatC)= 6E AMatAE= A1((Abs) MatB)= 6w 1wx AMatAw= AMatA1w(x )= fx fx gx 50

x fxx gxx x 1 Ac c12fxgx S)xx+1'2 =gx x S)xx -1'2 = xx y1=1=0.5== A gx =fx fx fxgx x 51

12 1=2= C12 2 3=4= A C3+C4= Cc1 52

+-*/ C1 23 C1 3(VctC)3 2=- 1 =2 = C2 = ACc1= 8 -$Xs 53

A 3 *VctA= -VctB= AVctA Cc2 VctB= AVctA*VctB= A1((Abs)VctC)= 1A 313 ACc3 VctA1)(,)VctB)= ACc4 VctB )= 54

2 4 14 x x1=2 =-3=ab c = A = A C1 x x x C13 1(ax 3 bx 2 cxd0) 3=3=-1= = eeee 55

x C12 3(ax 2 bxc0) 1=0=0== x 1 2 1 3 =8=12= = A = = 56

C11(A:BX:D) 1=2=10= = (X=) 5 C1 π A17 1 3= 57

1 ε0μ0 A' 1 c! 1714(ε) 1715() = 1 8 A 518 1 2(cm'in)= ' 58

de 14 / 0 * 2 = ed A 59

60

tol B 1 9 1 = 61

1A B19 3= ± 99 ± 99 62

± ± x x 63 x 9 x x 10 x x n x x x n π x x n 1 x 1 x x 1 x x 99 x x x 1 x x 99 1 x x 99 x x 99 1 x x 1 xx x 99 x e x 99 x 99 x 'x x 100 x 2 x 50

x 1 x 100 x 3 'x x 100 x nr nr xy xx n 10 rn nr nnr 100 n 10 rn nr nr 100 nnr 100 x y 99 x 2 + y 2 99 r x y x ' y a b c ab r 99 x a bc 100 bc x 100 x x 100 yx x y m x y n n mn 100 y x y x 100 xy y x n y x n m m mn 100 x y a b a b 10 b a 10 64

x y x 'y 3 'xnrnr π x 6 π π k f 65

k k A1 k 191 = k ) s 30 + 15 = 15.5 s 30 )+ 15 = 15.5 ) s 30+ 15 =0.7071067812 66

67

17 1 1 4ε 7 2 1 3 4 c1 c2 4φ 7R 1 4 7 Aλ D M 1 4 7 1 4 1 2h 5 8l 2 5 2 5 8λ Bλ E τ 2 5 8 2 3 6 9t 3 6K 3 6α 9γ C F 3 6 9σ 3 18 1 1' 3' 5' 7' 9' B' 2' 4' 6' 8' A' C' 2 1' 2 ' 3 1' 3' 68 2' 4'

4 1' 2' 3' 4' c1 1' 2' c2 c3 1' 3' 5 ' 7 ' 1 ' 3' 2' 4' 6' 8' 2' 4' c4 1' 2' cc1 1' 2' 69

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