fx-5800P Supplement€ε 2 Q E = ((= 9 × 109 > 0)) Q r r 47 f = 2 π 1 LC (L, C > 0) 48 S, = π ab...

fx-5800P TillaumlggSupplement Suplemento Ergaumlnzung Supplemento

J E S G I Sw K Ch Ck

httpeducasiojphttpworldcasiocomedu

付録

RJA516833-001V01

ndash ndash

1-1 mp 167262171times10ndash27 kg 3-5

1-2 mn 167492728times10ndash27 kg 3-6 F 964853383 C mol ndash1

1-3 me 91093826times10ndash31 kg 3-7 e 160217653times10ndash19 C

1-4 m 18835314times10ndash28 kg 3-8 NA 60221415times1023 mol ndash1

1-5 a0 05291772108times10ndash10 m 4-1 k 13806505times10ndash23 J Kndash1

1-6 h 66260693times10ndash34 J s 4-2 Vm 22413996times10ndash3 m3 mol ndash1

1-7 505078343times10ndash27 J T ndash1 4-3 R 8314472 J mol ndash1 K ndash1

1-8 927400949times10ndash26 J T ndash1 4-4 C0 299792458 m sndash1

2-1 H 105457168times10ndash34 J s 4-5 C1 374177138times10ndash16 W m2

2-2 α 7297352568times10ndash3 4-6 C2 14387752times10ndash2 m K

2-3 re 2817940325times10ndash15 m 4-7 σ 5670400times10ndash8 W mndash2 Kndash4

2-4 λc 2426310238times10ndash12 m 4-8 ε0 8854187817times10ndash12 F mndash1

2-5 γp 267522205times108 sndash1 T ndash1 5-1 12566370614times10ndash7 N Andash2

2-6 λcp 13214098555times10ndash15 m 5-2 206783372times10ndash15 Wb

2-7 λcn 13195909067times10ndash15 m 5-3 g 980665 m sndash2

2-8 Rinfin 10973731568525 mndash1 5-4 G0 7748091733times10ndash5 S

3-1 u 166053886times10ndash27 kg 5-5 Z0 376730313461 Ω

3-2 141060671times10ndash26 J Tndash1 5-6 t 27315 K

3-3 ndash928476412times10ndash26 J Tndash1 5-7 G 66742times10ndash11 m3 kgndash1 sndash2

3-4 ndash096623645times10ndash26 J Tndash1 5-8 atm 101325 Pa

ndash449044799times10ndash26 J T ndash1

Nmicro

Bmicro

micro

pmicro

emicro

nmicro

0micro

micromicro

0φ

01

ndash ndash

02

a =

nΣyi ndash aΣxib =

nΣxi2 ndash (Σxi)2

nΣxiyi ndash ΣxiΣyi

r =nΣxi

2 ndash (Σxi)2nΣyi2 ndash (Σyi)2


my ndash b

a=

n = ax + b

03

nΣyic = ndash a( ) ndash b( )n

Σxin

Σxi2

b =SxxSx2x2

ndash (Sxx2)2

SxySx2x2 ndash Sx2ySxx2

a =SxxSx2x2 ndash (Sxx2)2

Sx2ySxx ndash SxySxx2

(Σxi)2

Sxx = Σxi2ndash n

Sxy = Σxiyi ndash n(Σxi Σyi)

Sxx2 = Σxi3

ndash n(ΣxiΣxi

2)

Sx2x2 = Σxi4

ndash n(Σxi

2)2

Sx2y = Σxi2yi ndash n

(Σxi2Σyi)

m1 =2a

ndash b + b2 ndash 4a(c ndash y)

m2 =2a

ndash b ndash b2 ndash 4a(c ndash y)

n = ax2 + bx + c

04

a = nΣyi ndash bΣlnxi

b =nΣ(lnxi)2 ndash (Σlnxi)2

nΣ(lnxi)yi ndash ΣlnxiΣyi

r =nΣ(lnxi)2 ndash (Σlnxi)2nΣyi

2 ndash (Σyi)2 nΣ(lnxi)yi ndash ΣlnxiΣyi

m = ey ndash a

b

n = a + blnx

ndash ndash

a = exp( )nΣlnyi ndash lnbΣxi

b = exp( )nΣxi2 ndash (Σxi)2 nΣxilnyi ndash ΣxiΣlnyi

r =nΣxi2 ndash (Σxi)2nΣ(lnyi)2 ndash (Σlnyi)2

nΣxilnyi ndash ΣxiΣlnyi

m =lnb

lny ndash lna

n = abx

a = exp( )nΣlnyi ndash bΣlnxi

b = nΣ(lnxi)2 ndash (Σlnxi)2 nΣlnxilnyi ndash ΣlnxiΣlnyi

r =nΣ(lnxi)2 ndash (Σlnxi)2nΣ(lnyi)2 ndash (Σlnyi)2

nΣlnxilnyi ndash ΣlnxiΣlnyi

m = e bln y ndash ln a

n = axb

05

06

07

a = exp( )nΣlnyi ndash bΣxi

b = nΣxi2 ndash (Σxi)2


r =nΣxi

2 ndash (Σxi)2nΣ(lnyi)2 ndash (Σlnyi)2 nΣxilnyi ndash ΣxiΣlnyi

m =b

lny ndash lna

n = aebx

ndash ndash

b = Sxx Sxy

r =SxxSyy

Sxy

Sxx = Σ (xindash1)2 ndash

Syy = Σyi2ndash

Sxy = Σ(xindash1)yi ndash

n(Σxindash1)2

nΣxindash1Σyi

n(Σyi)2

a = nΣyi ndash bΣxindash1

08

m = y ndash ab

n = a + xb

1

2

3

4

5

tan = θm2 ndash m1

1 + m1m2

(m1m2 G 1)

a = t2 ndash t1

(t2 gt t1 gt 0)

a

bcA

B C

S = n2a + (n ndash 1)d

2

09

θ

y

x

y = m2 x + k2

y = m1 x + k1

cos A =2bc

b2 + c2 ndash a2

cos B =2ca

c2 + a2 ndash b2

cos C =2ab

a2 + b2 ndash c2

2 ndash 1υ υ

S = 0 t + at212

(t gt 0)υ

ndash ndash

6

7

8

9

[(xp yp)rarr(Xp Yp)]

Xp = (xpndashx0)cos + (ypndashy0)sin

Yp = (ypndashy0)cos ndash (xpndashx0)sin

α

α

10

11

12

= (M T gt 0)3RTM

[ + + Z = Const]Pγ 2g

P2 = P1+ γ ( 2g + Z1 ndash Z2) (υ P Z gt 0)γ

[ + + Z = Const]Pγ

2

2g

2g(P1 ndash P2)

γ

[ + + Z = Const]Pγ

Px = nCx Px ( 1 ndash P)nndashx

13 η = Q1 ndash Q2

Q1

( Q1 G 0)

XP = Rcos + XAα

YP = Rsin + YAα

α

α

y

x

Y X

(0 0)

(x0 y0)

α

(xp yp) (Xp Yp)

(XA YA)

(Xp Yp)

(XB YB)

αR

υ

2υ

12 ndash 2

2υ υ

υ

+ 12+ 2g( Z1 ndash Z2)υ ( P Z gt 0)γυ

2 = υ

2

2gυ

γ( P Z gt 0)γυZ2 = + + Z1

P1 ndash P2 12 ndash 2

2

2gυυ

( )0 lt P lt 1x = 0 1 2middotmiddotmiddotmiddotmiddotmiddot

Pol(XB ndash XA YB ndash YA)

ndash ndash

14

15

16

17

18

19

20

η = T1 ndash T2

T1

( T1 G 0)

F = mr 2ω (m r gt 0)ω

F = m r

S0 = rR π (rRgt 0)

V = r2h (r h gt 0) 13

π

S0 = 2 rh π (r h gt 0)

21 V = r2hπ (r h gt 0)

24 T = 1f ( f gt 0)

25 S = r2π (r gt 0)

22 T = 2ωπ ( G 0)ω

2υ

= Tσ ( T gt 0 ) σ υ

23 T = 2 r υπ ( G 0)υ

(r m gt 0)υ

26 R = ρ RS (SR gt 0)ρ

[ ]

[ ]

27 ρρA1 1 1 = A2 2 2 = Constυ υ

ρ

28 A1 1 1 = A2 2 2 = Constυ ρ υ ρ

( 2 G 0 2 gt 0)ρυ

(A2 2 gt 0)2= υ A2 2ρ

A1 1 1ρυ

A2= A1 1 1

ρυ 2 2

ρυ

ndash ndash

XP = Rcos + XAα

YP = Rsin + YAα

29 R1 = R4R5 + R5R6 + R6R4

R5

R2 = R4R5 + R5R6 + R6R4

R6

R3 = R4R5 + R5R6 + R6R4

R4(R4 R5 R6 gt 0)

30 R4 = R5 R1R2

R1 + R2 + R3

= R2R3

R1 + R2 + R3

R6 = R3R1

R1 + R2 + R3

(R1 R2 R3 gt 0)

31 [(XA YA) Rec(R )rarr(Xp Yp)]

α

32 a = b2 + c2 ndash 2bc cos A(b c gt 0 0˚ lt A lt 180˚)

a2 = b2 + c2 ndash 2bc cos A rarrb2 = c2 + a2 ndash 2ca cos Bc2 = a2 + b2 ndash 2ab cos C

33 r2

QqF =4 0π ε

1 (r gt 0)

34 S = 13 + 23 + middotmiddotmiddotmiddotmiddotmiddot + n3 = 2n(n + 1)2

35 Ai [dB] = 20 log10 [dB] ( )Ι2

Ι1

(Ι2 Ι1 gt 0)

36 σy = times 10 + 50x ndash xA ( gt 0)σ

(XA YA)

(Xp Yp)

αR

X

ndash ndash

υ

W = CV 2 12

W = 12 C

Q 2

(C gt 0)

Up = kx 2 (k x gt 0)12

= 0t + υS gt 2 (t gt 0)12

37 Pol(XB ndash XA YB ndash YA)

38 f = f0 υ υndash 0

ndash u ( )υG υ0 f0 gt 0 gt 0υ υndash 0

υ ndash u

39

40

41

42

43 W = QV12

44 W = ED12

(E D gt 0)

45 W = E 2 12

( E gt 0)ε ε

464 0r 2π ε

QE = ( = 9 times 109 )Qr 2 ( r gt 0)

47 f =2

1π LC

(L C gt 0)

48 S = ab (a b gt 0) π

a

b

(XA YA)

(XB YB)

αR

X

49 H = U + PV (U P Vgt 0)

ndash ndash

Px = (0 lt k lt N 0 lt n lt N )kCx N ndash k C n ndash x

N C n

sin ic = (1 lt n12) 1n12

55

56 Ve = BR ( BR gt 0) υ υ

57 P nRTV= (n T V gt 0)

58 V nRTP= (n T P gt 0)

59 T PVnR= (P V n gt 0)

60 n PVRT= (P V T gt 0)

61

62 W = LI2 (L I gt 0) 12

S = s(s ndash a)(s ndash b)(s ndash c) s = a + b + c )( a + b gt c gt 0b + c gt a gt 0c + a gt b gt 0

52 S = (r G 1)a (rn ndash1)

r ndash 1

53 Q = mcT

542

50 y = endash x x gt 0λ λ

y = 0 x lt 0( gt 0)λ

51 ( )Px = ( 1 ndash P)x P x = 0 1 2middotmiddotmiddotmiddotmiddotmiddot0 lt P lt 1

ndash 0 ndash

63 x =n ndash m

nX3 ndash mX1 + Y1 ndash Y3

y = m (x ndash X1) + Y1

)( m = X2 ndash X1

Y2 ndash Y1

n = X4 ndash X3

Y4 ndash Y3

64 x = n ndash mnX3 ndash mX1 + Y1 ndash Y3


)( m = X2 ndash X1

Y2 ndash Y1

n = tan α

65 P = RI2 (R gt 0)

66 P = (R gt 0) V2

R

67

68 X = 2 f L ndash ( = L ndash = XL ndash XC ) ( f L C gt 0)π 12 f Cπ ω 1

Cω

69 Z = R2 + (2 f L )2 (= R2 + 2 L2 ) (R f L gt 0)π ω

70 Z = ( )1R

2

+ ( )2

2 f C ndashπ 12 f Lπ

1

(R f C L gt 0)

71 Z = ( )2

2 f L ndashπ 12 f Cπ

R2 + ( )= ( ) L ndash 1CR2 + ω ω

(R f L C gt 0)

72 F = mH (m H gt 0)

(X4 Y4)(X1 Y1)

(X2 Y2)(X3 Y3)

(x y)

(X3 Y3)

(X2 Y2)

(X1 Y1)

(x y)

X

α

Uk = m 212

υ (m gt 0)υ

ndash ndash

F = iBRsin θ (Rgt 0 0˚lt lt 90˚)θ

73

74

T = m 2 = R2 (m gt 0 B gt 0 R gt 0)12

12 m

q2B2

υ

75 R1 = Z0 R2 =1ndash Z0

Z1

1ndash Z0

Z1

Z1

Lmin = 20 log [dB] ( )ndash1Z1

Z0

Z1

Z0 +

R2Z0 Z1

R1

(Z0 gt Z1 gt 0)

76 [ ]Z1

D1M = = =Z2

D2 Pπ

M = ZD (D Z gt 0)

77 [ ]Z1

D1M = = =Z2

D2 Pπ

M = P (P gt 0)π

78 [ ]Z1

D1M = = =Z2

D2 Pπ

D2 = (D1 Z1 Z2 gt 0)D1Z2

Z1

79 [ ]Z1

D1M = = =Z2

D2 Pπ

D = (P Z gt 0)PZπ

80 σy = e ndash

2 1π

( gt 0)( x ndash )

2

2 2

microσ σ

81 YR = YX = 2 f C ndashπ 12 f Lπ

(R f C L gt 0)

82 S = ab sin α ( )a b gt 00˚lt lt 180˚α

R1

ndash ndash

Ap [dB] = 10 log10 [dB] (P2 P1 gt 0)

83 C = Sdε

(S d gt 0)

84 d = ax1 + by1 + c a2 + b2

(a b G 0)

85 R= (x2 ndash x1)2 + (y2 ndash y1)2

86 Px = x microx e ndash micro x = 0 1 2middotmiddotmiddotmiddotmiddotmiddot

0 lt ( )micro

87 Up = mgh (m h gt 0)

88 ϕcos = = (R gt 0)ZR ( )P

EI

89 ( )P2

P1

90 V = Ah (A h gt 0)13

91 a2 + b2 = c2

d

P(x1 y1)

ax1 + by1 + c = 0

b

a

c

y1

y2

y

x1

R

x2

ndash ndash

VR = Vmiddot e ndash 93

92 S =2

(X1 ndash X2) (Y3 ndash Y1) + (X1 ndash X3) (Y4 ndash Y2) + (X1 ndash X4) (Y1 ndash Y3)

94 Z = 12 f Cπ

R2 + ( )=12C2

R2 + ω (R f C gt 0)( )2

X

Y(X1 Y1)

(X4 Y4)

(X3 Y3)

(X2 Y2)

CRt

95 [Xn = XA + n cos n Yn = YA + nsin n] α αθα n = 0 + n ndash 180 Xn = XA + n cos n α α

Yn = YA + nsin nα

R RR

R(X1 Y1)

(XA YA)

X

α0

α1θ 1R

v

96 n = sin i sin r (i r gt 0)

97 nHr = r (n ndash 1) (n + r ndash 1) 0 lt r

1 lt n( )98 nprodr = nr

99 R = vuR (v G 0)

100 E = I 2 (I gt 0) 12

ω ω

i

r

III

ndash ndash

( )

S = rR (rRgt 0) 12

101 ZR = R ZX = 2 f L ndash π 12 f Cπ (R f L C Z gt 0)

102IACL

S

R

l

IA = 2sinndash1

2Rl

S = ndash sinIA360π R2IA

2R2

CL = times R times IA 180

π

103Rr

104 τ PA= (A P gt 0)

105 τ = G (G gt 0) γ γ

106

θ

θ

F

mg

F = ndash mg sin (m gt 0)θ

107

F

O

H

mgx

F = ndash xRmg Rgt 0

mgt 0

108 x = r sin ( r gt 0)θ

109 x = r sin t ( r gt 0)ω

v

ndash ndash

110 T = 2 (Rgt 0)π Rg

111

R

A

a

0

sin Aa = 2R ( )0˚lt A lt 180˚

R gt 0

112

[ ]a = 2Rsin A

sin Aa = 2R[ ]2sin A

aR = (0˚lt A lt 180˚ a gt 0 )

113 sin Aa

sin Bb

= = = 2R sin Cc

V = r 3 ( r gt 0)43

115 I = ( r gt 0)P4 r 2 π

116 S = 4 r 2 ( r gt 0)π

117

118 T = 2 π m k (m gt 0 k gt 0)

π

( )114

CL

IA

R

TLSL

TL = R tan IA 2

CL = RIA180π

SL = R ndash1 1

cos IA 2

v

0˚lt A B C lt 180˚

a b c R gt 0 ( )

ndash ndash

S = 12 + 22 + middotmiddotmiddotmiddotmiddotmiddot + n2 = n (n + 1)(2n + 1)16

S = KRcos2 + C cosα α

h = KRsin2 + C sin12

α

S = (a + b) h (a b h gt 0) 12

119

120

( )0 lt lt 90˚KR C gt 0

α

121

122 λ = RσE (E Rgt 0) σ

123 S = bc sin A 12

(0˚ lt A lt 180˚)

124 Y

X

(X1 Y1)

(X2 Y2)

(X3 Y3)

S =2

(X1 ndash X2) (Y3 ndash Y1) + (X1 ndash X3) (Y1 ndash Y2)

125 y = a lt x lt bb ndash a1

y = 0 x lt a x lt b

126 F = G Mm (M m r gt 0)

127 [(XA YA) to (XC YC) rarr (x y) R]

R

(XA YA)

(XB YB)

(XC YC)

(x y)x =

m + m1

mXA + XC ndash YA + YCm1

y = YA + m (x ndash XA)

R= (XC ndash x)2 + (YC ndash y)2 m = YA ndash YBXA ndash XB( )

128

α

( )V2

V1

A [dB]= 20 log10 [dB] (V2 V1 gt 0) υ

r2

SA0606-A Printed in China

CASIO COMPUTER CO LTD6-2 Hon-machi 1-chome

Shibuya-ku Tokyo 151-8543 Japan

ndash ndash

1-1 mp 167262171times10ndash27 kg 3-5

1-2 mn 167492728times10ndash27 kg 3-6 F 964853383 C mol ndash1

1-3 me 91093826times10ndash31 kg 3-7 e 160217653times10ndash19 C

1-4 m 18835314times10ndash28 kg 3-8 NA 60221415times1023 mol ndash1

1-5 a0 05291772108times10ndash10 m 4-1 k 13806505times10ndash23 J Kndash1

1-6 h 66260693times10ndash34 J s 4-2 Vm 22413996times10ndash3 m3 mol ndash1

1-7 505078343times10ndash27 J T ndash1 4-3 R 8314472 J mol ndash1 K ndash1

1-8 927400949times10ndash26 J T ndash1 4-4 C0 299792458 m sndash1

2-1 H 105457168times10ndash34 J s 4-5 C1 374177138times10ndash16 W m2

2-2 α 7297352568times10ndash3 4-6 C2 14387752times10ndash2 m K

2-3 re 2817940325times10ndash15 m 4-7 σ 5670400times10ndash8 W mndash2 Kndash4

2-4 λc 2426310238times10ndash12 m 4-8 ε0 8854187817times10ndash12 F mndash1

2-5 γp 267522205times108 sndash1 T ndash1 5-1 12566370614times10ndash7 N Andash2

2-6 λcp 13214098555times10ndash15 m 5-2 206783372times10ndash15 Wb

2-7 λcn 13195909067times10ndash15 m 5-3 g 980665 m sndash2

2-8 Rinfin 10973731568525 mndash1 5-4 G0 7748091733times10ndash5 S

3-1 u 166053886times10ndash27 kg 5-5 Z0 376730313461 Ω

3-2 141060671times10ndash26 J Tndash1 5-6 t 27315 K

3-3 ndash928476412times10ndash26 J Tndash1 5-7 G 66742times10ndash11 m3 kgndash1 sndash2

3-4 ndash096623645times10ndash26 J Tndash1 5-8 atm 101325 Pa

ndash449044799times10ndash26 J T ndash1

Nmicro

Bmicro

micro

pmicro

emicro

nmicro

0micro

micromicro

0φ

01

ndash ndash

02

a =




r =nΣxi



my ndash b

a=

n = ax + b

03


Σxin

Σxi2

b =SxxSx2x2

ndash (Sxx2)2




(Σxi)2

Sxx = Σxi2ndash n


Sxx2 = Σxi3

ndash n(ΣxiΣxi

2)

Sx2x2 = Σxi4

ndash n(Σxi

2)2


(Σxi2Σyi)

m1 =2a


m2 =2a


n = ax2 + bx + c

04






m = ey ndash a

b

n = a + blnx

ndash ndash





m =lnb

lny ndash lna

n = abx






n = axb

05

06

07




r =nΣxi


m =b

lny ndash lna

n = aebx

ndash ndash

b = Sxx Sxy

r =SxxSyy

Sxy


Syy = Σyi2ndash


n(Σxindash1)2

nΣxindash1Σyi

n(Σyi)2


08

m = y ndash ab

n = a + xb

1

2

3

4

5

tan = θm2 ndash m1

1 + m1m2

(m1m2 G 1)

a = t2 ndash t1

(t2 gt t1 gt 0)

a

bcA

B C


2

09

θ

y

x

y = m2 x + k2

y = m1 x + k1

cos A =2bc

b2 + c2 ndash a2

cos B =2ca

c2 + a2 ndash b2

cos C =2ab

a2 + b2 ndash c2

2 ndash 1υ υ

S = 0 t + at212

(t gt 0)υ

ndash ndash

6

7

8

9




α

α

10

11

12

= (M T gt 0)3RTM



[ + + Z = Const]Pγ

2

2g

2g(P1 ndash P2)

γ

[ + + Z = Const]Pγ


13 η = Q1 ndash Q2

Q1

( Q1 G 0)

XP = Rcos + XAα

YP = Rsin + YAα

α

α

y

x

Y X

(0 0)

(x0 y0)

α

(xp yp) (Xp Yp)

(XA YA)

(Xp Yp)

(XB YB)

αR

υ

2υ

12 ndash 2

2υ υ

υ


2 = υ

2

2gυ

γ( P Z gt 0)γυZ2 = + + Z1


2

2gυυ



ndash ndash

14

15

16

17

18

19

20

η = T1 ndash T2

T1

( T1 G 0)


F = m r

S0 = rR π (rRgt 0)

V = r2h (r h gt 0) 13

π

S0 = 2 rh π (r h gt 0)

21 V = r2hπ (r h gt 0)

24 T = 1f ( f gt 0)

25 S = r2π (r gt 0)

22 T = 2ωπ ( G 0)ω

2υ

= Tσ ( T gt 0 ) σ υ

23 T = 2 r υπ ( G 0)υ

(r m gt 0)υ


[ ]

[ ]

27 ρρA1 1 1 = A2 2 2 = Constυ υ

ρ

28 A1 1 1 = A2 2 2 = Constυ ρ υ ρ

( 2 G 0 2 gt 0)ρυ

(A2 2 gt 0)2= υ A2 2ρ

A1 1 1ρυ

A2= A1 1 1

ρυ 2 2

ρυ

ndash ndash

XP = Rcos + XAα

YP = Rsin + YAα

29 R1 = R4R5 + R5R6 + R6R4

R5

R2 = R4R5 + R5R6 + R6R4

R6

R3 = R4R5 + R5R6 + R6R4

R4(R4 R5 R6 gt 0)

30 R4 = R5 R1R2

R1 + R2 + R3

= R2R3

R1 + R2 + R3

R6 = R3R1

R1 + R2 + R3

(R1 R2 R3 gt 0)


α



33 r2

QqF =4 0π ε

1 (r gt 0)


35 Ai [dB] = 20 log10 [dB] ( )Ι2

Ι1

(Ι2 Ι1 gt 0)


(XA YA)

(Xp Yp)

αR

X

ndash ndash

υ

W = CV 2 12

W = 12 C

Q 2

(C gt 0)

Up = kx 2 (k x gt 0)12

= 0t + υS gt 2 (t gt 0)12




υ ndash u

39

40

41

42

43 W = QV12

44 W = ED12

(E D gt 0)

45 W = E 2 12

( E gt 0)ε ε

464 0r 2π ε

QE = ( = 9 times 109 )Qr 2 ( r gt 0)

47 f =2

1π LC

(L C gt 0)

48 S = ab (a b gt 0) π

a

b

(XA YA)

(XB YB)

αR

X

49 H = U + PV (U P Vgt 0)

ndash ndash


N C n

sin ic = (1 lt n12) 1n12

55






61

62 W = LI2 (L I gt 0) 12



r ndash 1

53 Q = mcT

542


y = 0 x lt 0( gt 0)λ


ndash 0 ndash

63 x =n ndash m



)( m = X2 ndash X1

Y2 ndash Y1

n = X4 ndash X3

Y4 ndash Y3



)( m = X2 ndash X1

Y2 ndash Y1

n = tan α

65 P = RI2 (R gt 0)

66 P = (R gt 0) V2

R

67


Cω

69 Z = R2 + (2 f L )2 (= R2 + 2 L2 ) (R f L gt 0)π ω

70 Z = ( )1R

2

+ ( )2


1

(R f C L gt 0)

71 Z = ( )2


R2 + ( )= ( ) L ndash 1CR2 + ω ω

(R f L C gt 0)

72 F = mH (m H gt 0)

(X4 Y4)(X1 Y1)

(X2 Y2)(X3 Y3)

(x y)

(X3 Y3)

(X2 Y2)

(X1 Y1)

(x y)

X

α

Uk = m 212

υ (m gt 0)υ

ndash ndash


73

74

T = m 2 = R2 (m gt 0 B gt 0 R gt 0)12

12 m

q2B2

υ

75 R1 = Z0 R2 =1ndash Z0

Z1

1ndash Z0

Z1

Z1


Z0

Z1

Z0 +

R2Z0 Z1

R1

(Z0 gt Z1 gt 0)

76 [ ]Z1

D1M = = =Z2

D2 Pπ

M = ZD (D Z gt 0)

77 [ ]Z1

D1M = = =Z2

D2 Pπ

M = P (P gt 0)π

78 [ ]Z1

D1M = = =Z2

D2 Pπ

D2 = (D1 Z1 Z2 gt 0)D1Z2

Z1

79 [ ]Z1

D1M = = =Z2

D2 Pπ

D = (P Z gt 0)PZπ

80 σy = e ndash

2 1π

( gt 0)( x ndash )

2

2 2

microσ σ


(R f C L gt 0)


R1

ndash ndash

Ap [dB] = 10 log10 [dB] (P2 P1 gt 0)

83 C = Sdε

(S d gt 0)

84 d = ax1 + by1 + c a2 + b2

(a b G 0)



0 lt ( )micro


88 ϕcos = = (R gt 0)ZR ( )P

EI

89 ( )P2

P1

90 V = Ah (A h gt 0)13

91 a2 + b2 = c2

d

P(x1 y1)

ax1 + by1 + c = 0

b

a

c

y1

y2

y

x1

R

x2

ndash ndash


92 S =2


94 Z = 12 f Cπ

R2 + ( )=12C2

R2 + ω (R f C gt 0)( )2

X

Y(X1 Y1)

(X4 Y4)

(X3 Y3)

(X2 Y2)

CRt


Yn = YA + nsin nα

R RR

R(X1 Y1)

(XA YA)

X

α0

α1θ 1R

v




99 R = vuR (v G 0)

100 E = I 2 (I gt 0) 12

ω ω

i

r

III

ndash ndash

( )

S = rR (rRgt 0) 12


102IACL

S

R

l

IA = 2sinndash1

2Rl


2R2


π

103Rr

104 τ PA= (A P gt 0)

105 τ = G (G gt 0) γ γ

106

θ

θ

F

mg


107

F

O

H

mgx


mgt 0

108 x = r sin ( r gt 0)θ

109 x = r sin t ( r gt 0)ω

v

ndash ndash

110 T = 2 (Rgt 0)π Rg

111

R

A

a

0

sin Aa = 2R ( )0˚lt A lt 180˚

R gt 0

112

[ ]a = 2Rsin A


aR = (0˚lt A lt 180˚ a gt 0 )

113 sin Aa

sin Bb

= = = 2R sin Cc

V = r 3 ( r gt 0)43

115 I = ( r gt 0)P4 r 2 π

116 S = 4 r 2 ( r gt 0)π

117

118 T = 2 π m k (m gt 0 k gt 0)

π

( )114

CL

IA

R

TLSL

TL = R tan IA 2

CL = RIA180π

SL = R ndash1 1

cos IA 2

v

0˚lt A B C lt 180˚

a b c R gt 0 ( )

ndash ndash




α

S = (a + b) h (a b h gt 0) 12

119

120

( )0 lt lt 90˚KR C gt 0

α

121

122 λ = RσE (E Rgt 0) σ

123 S = bc sin A 12

(0˚ lt A lt 180˚)

124 Y

X

(X1 Y1)

(X2 Y2)

(X3 Y3)

S =2



y = 0 x lt a x lt b

126 F = G Mm (M m r gt 0)


R

(XA YA)

(XB YB)

(XC YC)

(x y)x =

m + m1




128

α

( )V2

V1

A [dB]= 20 log10 [dB] (V2 V1 gt 0) υ

r2




ndash ndash

02

a =




r =nΣxi



my ndash b

a=

n = ax + b

03


Σxin

Σxi2

b =SxxSx2x2

ndash (Sxx2)2




(Σxi)2

Sxx = Σxi2ndash n


Sxx2 = Σxi3

ndash n(ΣxiΣxi

2)

Sx2x2 = Σxi4

ndash n(Σxi

2)2


(Σxi2Σyi)

m1 =2a


m2 =2a


n = ax2 + bx + c

04






m = ey ndash a

b

n = a + blnx

ndash ndash





m =lnb

lny ndash lna

n = abx






n = axb

05

06

07




r =nΣxi


m =b

lny ndash lna

n = aebx

ndash ndash

b = Sxx Sxy

r =SxxSyy

Sxy


Syy = Σyi2ndash


n(Σxindash1)2

nΣxindash1Σyi

n(Σyi)2


08

m = y ndash ab

n = a + xb

1

2

3

4

5

tan = θm2 ndash m1

1 + m1m2

(m1m2 G 1)

a = t2 ndash t1

(t2 gt t1 gt 0)

a

bcA

B C


2

09

θ

y

x

y = m2 x + k2

y = m1 x + k1

cos A =2bc

b2 + c2 ndash a2

cos B =2ca

c2 + a2 ndash b2

cos C =2ab

a2 + b2 ndash c2

2 ndash 1υ υ

S = 0 t + at212

(t gt 0)υ

ndash ndash

6

7

8

9




α

α

10

11

12

= (M T gt 0)3RTM



[ + + Z = Const]Pγ

2

2g

2g(P1 ndash P2)

γ

[ + + Z = Const]Pγ


13 η = Q1 ndash Q2

Q1

( Q1 G 0)

XP = Rcos + XAα

YP = Rsin + YAα

α

α

y

x

Y X

(0 0)

(x0 y0)

α

(xp yp) (Xp Yp)

(XA YA)

(Xp Yp)

(XB YB)

αR

υ

2υ

12 ndash 2

2υ υ

υ


2 = υ

2

2gυ

γ( P Z gt 0)γυZ2 = + + Z1


2

2gυυ



ndash ndash

14

15

16

17

18

19

20

η = T1 ndash T2

T1

( T1 G 0)


F = m r

S0 = rR π (rRgt 0)

V = r2h (r h gt 0) 13

π

S0 = 2 rh π (r h gt 0)

21 V = r2hπ (r h gt 0)

24 T = 1f ( f gt 0)

25 S = r2π (r gt 0)

22 T = 2ωπ ( G 0)ω

2υ

= Tσ ( T gt 0 ) σ υ

23 T = 2 r υπ ( G 0)υ

(r m gt 0)υ


[ ]

[ ]

27 ρρA1 1 1 = A2 2 2 = Constυ υ

ρ

28 A1 1 1 = A2 2 2 = Constυ ρ υ ρ

( 2 G 0 2 gt 0)ρυ

(A2 2 gt 0)2= υ A2 2ρ

A1 1 1ρυ

A2= A1 1 1

ρυ 2 2

ρυ

ndash ndash

XP = Rcos + XAα

YP = Rsin + YAα

29 R1 = R4R5 + R5R6 + R6R4

R5

R2 = R4R5 + R5R6 + R6R4

R6

R3 = R4R5 + R5R6 + R6R4

R4(R4 R5 R6 gt 0)

30 R4 = R5 R1R2

R1 + R2 + R3

= R2R3

R1 + R2 + R3

R6 = R3R1

R1 + R2 + R3

(R1 R2 R3 gt 0)


α



33 r2

QqF =4 0π ε

1 (r gt 0)


35 Ai [dB] = 20 log10 [dB] ( )Ι2

Ι1

(Ι2 Ι1 gt 0)


(XA YA)

(Xp Yp)

αR

X

ndash ndash

υ

W = CV 2 12

W = 12 C

Q 2

(C gt 0)

Up = kx 2 (k x gt 0)12

= 0t + υS gt 2 (t gt 0)12




υ ndash u

39

40

41

42

43 W = QV12

44 W = ED12

(E D gt 0)

45 W = E 2 12

( E gt 0)ε ε

464 0r 2π ε

QE = ( = 9 times 109 )Qr 2 ( r gt 0)

47 f =2

1π LC

(L C gt 0)

48 S = ab (a b gt 0) π

a

b

(XA YA)

(XB YB)

αR

X

49 H = U + PV (U P Vgt 0)

ndash ndash


N C n

sin ic = (1 lt n12) 1n12

55






61

62 W = LI2 (L I gt 0) 12



r ndash 1

53 Q = mcT

542


y = 0 x lt 0( gt 0)λ


ndash 0 ndash

63 x =n ndash m



)( m = X2 ndash X1

Y2 ndash Y1

n = X4 ndash X3

Y4 ndash Y3



)( m = X2 ndash X1

Y2 ndash Y1

n = tan α

65 P = RI2 (R gt 0)

66 P = (R gt 0) V2

R

67


Cω

69 Z = R2 + (2 f L )2 (= R2 + 2 L2 ) (R f L gt 0)π ω

70 Z = ( )1R

2

+ ( )2


1

(R f C L gt 0)

71 Z = ( )2


R2 + ( )= ( ) L ndash 1CR2 + ω ω

(R f L C gt 0)

72 F = mH (m H gt 0)

(X4 Y4)(X1 Y1)

(X2 Y2)(X3 Y3)

(x y)

(X3 Y3)

(X2 Y2)

(X1 Y1)

(x y)

X

α

Uk = m 212

υ (m gt 0)υ

ndash ndash


73

74

T = m 2 = R2 (m gt 0 B gt 0 R gt 0)12

12 m

q2B2

υ

75 R1 = Z0 R2 =1ndash Z0

Z1

1ndash Z0

Z1

Z1


Z0

Z1

Z0 +

R2Z0 Z1

R1

(Z0 gt Z1 gt 0)

76 [ ]Z1

D1M = = =Z2

D2 Pπ

M = ZD (D Z gt 0)

77 [ ]Z1

D1M = = =Z2

D2 Pπ

M = P (P gt 0)π

78 [ ]Z1

D1M = = =Z2

D2 Pπ

D2 = (D1 Z1 Z2 gt 0)D1Z2

Z1

79 [ ]Z1

D1M = = =Z2

D2 Pπ

D = (P Z gt 0)PZπ

80 σy = e ndash

2 1π

( gt 0)( x ndash )

2

2 2

microσ σ


(R f C L gt 0)


R1

ndash ndash

Ap [dB] = 10 log10 [dB] (P2 P1 gt 0)

83 C = Sdε

(S d gt 0)

84 d = ax1 + by1 + c a2 + b2

(a b G 0)



0 lt ( )micro


88 ϕcos = = (R gt 0)ZR ( )P

EI

89 ( )P2

P1

90 V = Ah (A h gt 0)13

91 a2 + b2 = c2

d

P(x1 y1)

ax1 + by1 + c = 0

b

a

c

y1

y2

y

x1

R

x2

ndash ndash


92 S =2


94 Z = 12 f Cπ

R2 + ( )=12C2

R2 + ω (R f C gt 0)( )2

X

Y(X1 Y1)

(X4 Y4)

(X3 Y3)

(X2 Y2)

CRt


Yn = YA + nsin nα

R RR

R(X1 Y1)

(XA YA)

X

α0

α1θ 1R

v




99 R = vuR (v G 0)

100 E = I 2 (I gt 0) 12

ω ω

i

r

III

ndash ndash

( )

S = rR (rRgt 0) 12


102IACL

S

R

l

IA = 2sinndash1

2Rl


2R2


π

103Rr

104 τ PA= (A P gt 0)

105 τ = G (G gt 0) γ γ

106

θ

θ

F

mg


107

F

O

H

mgx


mgt 0

108 x = r sin ( r gt 0)θ

109 x = r sin t ( r gt 0)ω

v

ndash ndash

110 T = 2 (Rgt 0)π Rg

111

R

A

a

0

sin Aa = 2R ( )0˚lt A lt 180˚

R gt 0

112

[ ]a = 2Rsin A


aR = (0˚lt A lt 180˚ a gt 0 )

113 sin Aa

sin Bb

= = = 2R sin Cc

V = r 3 ( r gt 0)43

115 I = ( r gt 0)P4 r 2 π

116 S = 4 r 2 ( r gt 0)π

117

118 T = 2 π m k (m gt 0 k gt 0)

π

( )114

CL

IA

R

TLSL

TL = R tan IA 2

CL = RIA180π

SL = R ndash1 1

cos IA 2

v

0˚lt A B C lt 180˚

a b c R gt 0 ( )

ndash ndash




α

S = (a + b) h (a b h gt 0) 12

119

120

( )0 lt lt 90˚KR C gt 0

α

121

122 λ = RσE (E Rgt 0) σ

123 S = bc sin A 12

(0˚ lt A lt 180˚)

124 Y

X

(X1 Y1)

(X2 Y2)

(X3 Y3)

S =2



y = 0 x lt a x lt b

126 F = G Mm (M m r gt 0)


R

(XA YA)

(XB YB)

(XC YC)

(x y)x =

m + m1




128

α

( )V2

V1

A [dB]= 20 log10 [dB] (V2 V1 gt 0) υ

r2




ndash ndash





m =lnb

lny ndash lna

n = abx






n = axb

05

06

07




r =nΣxi


m =b

lny ndash lna

n = aebx

ndash ndash

b = Sxx Sxy

r =SxxSyy

Sxy


Syy = Σyi2ndash


n(Σxindash1)2

nΣxindash1Σyi

n(Σyi)2


08

m = y ndash ab

n = a + xb

1

2

3

4

5

tan = θm2 ndash m1

1 + m1m2

(m1m2 G 1)

a = t2 ndash t1

(t2 gt t1 gt 0)

a

bcA

B C


2

09

θ

y

x

y = m2 x + k2

y = m1 x + k1

cos A =2bc

b2 + c2 ndash a2

cos B =2ca

c2 + a2 ndash b2

cos C =2ab

a2 + b2 ndash c2

2 ndash 1υ υ

S = 0 t + at212

(t gt 0)υ

ndash ndash

6

7

8

9




α

α

10

11

12

= (M T gt 0)3RTM



[ + + Z = Const]Pγ

2

2g

2g(P1 ndash P2)

γ

[ + + Z = Const]Pγ


13 η = Q1 ndash Q2

Q1

( Q1 G 0)

XP = Rcos + XAα

YP = Rsin + YAα

α

α

y

x

Y X

(0 0)

(x0 y0)

α

(xp yp) (Xp Yp)

(XA YA)

(Xp Yp)

(XB YB)

αR

υ

2υ

12 ndash 2

2υ υ

υ


2 = υ

2

2gυ

γ( P Z gt 0)γυZ2 = + + Z1


2

2gυυ



ndash ndash

14

15

16

17

18

19

20

η = T1 ndash T2

T1

( T1 G 0)


F = m r

S0 = rR π (rRgt 0)

V = r2h (r h gt 0) 13

π

S0 = 2 rh π (r h gt 0)

21 V = r2hπ (r h gt 0)

24 T = 1f ( f gt 0)

25 S = r2π (r gt 0)

22 T = 2ωπ ( G 0)ω

2υ

= Tσ ( T gt 0 ) σ υ

23 T = 2 r υπ ( G 0)υ

(r m gt 0)υ


[ ]

[ ]

27 ρρA1 1 1 = A2 2 2 = Constυ υ

ρ

28 A1 1 1 = A2 2 2 = Constυ ρ υ ρ

( 2 G 0 2 gt 0)ρυ

(A2 2 gt 0)2= υ A2 2ρ

A1 1 1ρυ

A2= A1 1 1

ρυ 2 2

ρυ

ndash ndash

XP = Rcos + XAα

YP = Rsin + YAα

29 R1 = R4R5 + R5R6 + R6R4

R5

R2 = R4R5 + R5R6 + R6R4

R6

R3 = R4R5 + R5R6 + R6R4

R4(R4 R5 R6 gt 0)

30 R4 = R5 R1R2

R1 + R2 + R3

= R2R3

R1 + R2 + R3

R6 = R3R1

R1 + R2 + R3

(R1 R2 R3 gt 0)


α



33 r2

QqF =4 0π ε

1 (r gt 0)


35 Ai [dB] = 20 log10 [dB] ( )Ι2

Ι1

(Ι2 Ι1 gt 0)


(XA YA)

(Xp Yp)

αR

X

ndash ndash

υ

W = CV 2 12

W = 12 C

Q 2

(C gt 0)

Up = kx 2 (k x gt 0)12

= 0t + υS gt 2 (t gt 0)12




υ ndash u

39

40

41

42

43 W = QV12

44 W = ED12

(E D gt 0)

45 W = E 2 12

( E gt 0)ε ε

464 0r 2π ε

QE = ( = 9 times 109 )Qr 2 ( r gt 0)

47 f =2

1π LC

(L C gt 0)

48 S = ab (a b gt 0) π

a

b

(XA YA)

(XB YB)

αR

X

49 H = U + PV (U P Vgt 0)

ndash ndash


N C n

sin ic = (1 lt n12) 1n12

55






61

62 W = LI2 (L I gt 0) 12



r ndash 1

53 Q = mcT

542


y = 0 x lt 0( gt 0)λ


ndash 0 ndash

63 x =n ndash m



)( m = X2 ndash X1

Y2 ndash Y1

n = X4 ndash X3

Y4 ndash Y3



)( m = X2 ndash X1

Y2 ndash Y1

n = tan α

65 P = RI2 (R gt 0)

66 P = (R gt 0) V2

R

67


Cω

69 Z = R2 + (2 f L )2 (= R2 + 2 L2 ) (R f L gt 0)π ω

70 Z = ( )1R

2

+ ( )2


1

(R f C L gt 0)

71 Z = ( )2


R2 + ( )= ( ) L ndash 1CR2 + ω ω

(R f L C gt 0)

72 F = mH (m H gt 0)

(X4 Y4)(X1 Y1)

(X2 Y2)(X3 Y3)

(x y)

(X3 Y3)

(X2 Y2)

(X1 Y1)

(x y)

X

α

Uk = m 212

υ (m gt 0)υ

ndash ndash


73

74

T = m 2 = R2 (m gt 0 B gt 0 R gt 0)12

12 m

q2B2

υ

75 R1 = Z0 R2 =1ndash Z0

Z1

1ndash Z0

Z1

Z1


Z0

Z1

Z0 +

R2Z0 Z1

R1

(Z0 gt Z1 gt 0)

76 [ ]Z1

D1M = = =Z2

D2 Pπ

M = ZD (D Z gt 0)

77 [ ]Z1

D1M = = =Z2

D2 Pπ

M = P (P gt 0)π

78 [ ]Z1

D1M = = =Z2

D2 Pπ

D2 = (D1 Z1 Z2 gt 0)D1Z2

Z1

79 [ ]Z1

D1M = = =Z2

D2 Pπ

D = (P Z gt 0)PZπ

80 σy = e ndash

2 1π

( gt 0)( x ndash )

2

2 2

microσ σ


(R f C L gt 0)


R1

ndash ndash

Ap [dB] = 10 log10 [dB] (P2 P1 gt 0)

83 C = Sdε

(S d gt 0)

84 d = ax1 + by1 + c a2 + b2

(a b G 0)



0 lt ( )micro


88 ϕcos = = (R gt 0)ZR ( )P

EI

89 ( )P2

P1

90 V = Ah (A h gt 0)13

91 a2 + b2 = c2

d

P(x1 y1)

ax1 + by1 + c = 0

b

a

c

y1

y2

y

x1

R

x2

ndash ndash


92 S =2


94 Z = 12 f Cπ

R2 + ( )=12C2

R2 + ω (R f C gt 0)( )2

X

Y(X1 Y1)

(X4 Y4)

(X3 Y3)

(X2 Y2)

CRt


Yn = YA + nsin nα

R RR

R(X1 Y1)

(XA YA)

X

α0

α1θ 1R

v




99 R = vuR (v G 0)

100 E = I 2 (I gt 0) 12

ω ω

i

r

III

ndash ndash

( )

S = rR (rRgt 0) 12


102IACL

S

R

l

IA = 2sinndash1

2Rl


2R2


π

103Rr

104 τ PA= (A P gt 0)

105 τ = G (G gt 0) γ γ

106

θ

θ

F

mg


107

F

O

H

mgx


mgt 0

108 x = r sin ( r gt 0)θ

109 x = r sin t ( r gt 0)ω

v

ndash ndash

110 T = 2 (Rgt 0)π Rg

111

R

A

a

0

sin Aa = 2R ( )0˚lt A lt 180˚

R gt 0

112

[ ]a = 2Rsin A


aR = (0˚lt A lt 180˚ a gt 0 )

113 sin Aa

sin Bb

= = = 2R sin Cc

V = r 3 ( r gt 0)43

115 I = ( r gt 0)P4 r 2 π

116 S = 4 r 2 ( r gt 0)π

117

118 T = 2 π m k (m gt 0 k gt 0)

π

( )114

CL

IA

R

TLSL

TL = R tan IA 2

CL = RIA180π

SL = R ndash1 1

cos IA 2

v

0˚lt A B C lt 180˚

a b c R gt 0 ( )

ndash ndash




α

S = (a + b) h (a b h gt 0) 12

119

120

( )0 lt lt 90˚KR C gt 0

α

121

122 λ = RσE (E Rgt 0) σ

123 S = bc sin A 12

(0˚ lt A lt 180˚)

124 Y

X

(X1 Y1)

(X2 Y2)

(X3 Y3)

S =2



y = 0 x lt a x lt b

126 F = G Mm (M m r gt 0)


R

(XA YA)

(XB YB)

(XC YC)

(x y)x =

m + m1




128

α

( )V2

V1

A [dB]= 20 log10 [dB] (V2 V1 gt 0) υ

r2




ndash ndash

b = Sxx Sxy

r =SxxSyy

Sxy


Syy = Σyi2ndash


n(Σxindash1)2

nΣxindash1Σyi

n(Σyi)2


08

m = y ndash ab

n = a + xb

1

2

3

4

5

tan = θm2 ndash m1

1 + m1m2

(m1m2 G 1)

a = t2 ndash t1

(t2 gt t1 gt 0)

a

bcA

B C


2

09

θ

y

x

y = m2 x + k2

y = m1 x + k1

cos A =2bc

b2 + c2 ndash a2

cos B =2ca

c2 + a2 ndash b2

cos C =2ab

a2 + b2 ndash c2

2 ndash 1υ υ

S = 0 t + at212

(t gt 0)υ

ndash ndash

6

7

8

9




α

α

10

11

12

= (M T gt 0)3RTM



[ + + Z = Const]Pγ

2

2g

2g(P1 ndash P2)

γ

[ + + Z = Const]Pγ


13 η = Q1 ndash Q2

Q1

( Q1 G 0)

XP = Rcos + XAα

YP = Rsin + YAα

α

α

y

x

Y X

(0 0)

(x0 y0)

α

(xp yp) (Xp Yp)

(XA YA)

(Xp Yp)

(XB YB)

αR

υ

2υ

12 ndash 2

2υ υ

υ


2 = υ

2

2gυ

γ( P Z gt 0)γυZ2 = + + Z1


2

2gυυ



ndash ndash

14

15

16

17

18

19

20

η = T1 ndash T2

T1

( T1 G 0)


F = m r

S0 = rR π (rRgt 0)

V = r2h (r h gt 0) 13

π

S0 = 2 rh π (r h gt 0)

21 V = r2hπ (r h gt 0)

24 T = 1f ( f gt 0)

25 S = r2π (r gt 0)

22 T = 2ωπ ( G 0)ω

2υ

= Tσ ( T gt 0 ) σ υ

23 T = 2 r υπ ( G 0)υ

(r m gt 0)υ


[ ]

[ ]

27 ρρA1 1 1 = A2 2 2 = Constυ υ

ρ

28 A1 1 1 = A2 2 2 = Constυ ρ υ ρ

( 2 G 0 2 gt 0)ρυ

(A2 2 gt 0)2= υ A2 2ρ

A1 1 1ρυ

A2= A1 1 1

ρυ 2 2

ρυ

ndash ndash

XP = Rcos + XAα

YP = Rsin + YAα

29 R1 = R4R5 + R5R6 + R6R4

R5

R2 = R4R5 + R5R6 + R6R4

R6

R3 = R4R5 + R5R6 + R6R4

R4(R4 R5 R6 gt 0)

30 R4 = R5 R1R2

R1 + R2 + R3

= R2R3

R1 + R2 + R3

R6 = R3R1

R1 + R2 + R3

(R1 R2 R3 gt 0)


α



33 r2

QqF =4 0π ε

1 (r gt 0)


35 Ai [dB] = 20 log10 [dB] ( )Ι2

Ι1

(Ι2 Ι1 gt 0)


(XA YA)

(Xp Yp)

αR

X

ndash ndash

υ

W = CV 2 12

W = 12 C

Q 2

(C gt 0)

Up = kx 2 (k x gt 0)12

= 0t + υS gt 2 (t gt 0)12




υ ndash u

39

40

41

42

43 W = QV12

44 W = ED12

(E D gt 0)

45 W = E 2 12

( E gt 0)ε ε

464 0r 2π ε

QE = ( = 9 times 109 )Qr 2 ( r gt 0)

47 f =2

1π LC

(L C gt 0)

48 S = ab (a b gt 0) π

a

b

(XA YA)

(XB YB)

αR

X

49 H = U + PV (U P Vgt 0)

ndash ndash


N C n

sin ic = (1 lt n12) 1n12

55






61

62 W = LI2 (L I gt 0) 12



r ndash 1

53 Q = mcT

542


y = 0 x lt 0( gt 0)λ


ndash 0 ndash

63 x =n ndash m



)( m = X2 ndash X1

Y2 ndash Y1

n = X4 ndash X3

Y4 ndash Y3



)( m = X2 ndash X1

Y2 ndash Y1

n = tan α

65 P = RI2 (R gt 0)

66 P = (R gt 0) V2

R

67


Cω

69 Z = R2 + (2 f L )2 (= R2 + 2 L2 ) (R f L gt 0)π ω

70 Z = ( )1R

2

+ ( )2


1

(R f C L gt 0)

71 Z = ( )2


R2 + ( )= ( ) L ndash 1CR2 + ω ω

(R f L C gt 0)

72 F = mH (m H gt 0)

(X4 Y4)(X1 Y1)

(X2 Y2)(X3 Y3)

(x y)

(X3 Y3)

(X2 Y2)

(X1 Y1)

(x y)

X

α

Uk = m 212

υ (m gt 0)υ

ndash ndash


73

74

T = m 2 = R2 (m gt 0 B gt 0 R gt 0)12

12 m

q2B2

υ

75 R1 = Z0 R2 =1ndash Z0

Z1

1ndash Z0

Z1

Z1


Z0

Z1

Z0 +

R2Z0 Z1

R1

(Z0 gt Z1 gt 0)

76 [ ]Z1

D1M = = =Z2

D2 Pπ

M = ZD (D Z gt 0)

77 [ ]Z1

D1M = = =Z2

D2 Pπ

M = P (P gt 0)π

78 [ ]Z1

D1M = = =Z2

D2 Pπ

D2 = (D1 Z1 Z2 gt 0)D1Z2

Z1

79 [ ]Z1

D1M = = =Z2

D2 Pπ

D = (P Z gt 0)PZπ

80 σy = e ndash

2 1π

( gt 0)( x ndash )

2

2 2

microσ σ


(R f C L gt 0)


R1

ndash ndash

Ap [dB] = 10 log10 [dB] (P2 P1 gt 0)

83 C = Sdε

(S d gt 0)

84 d = ax1 + by1 + c a2 + b2

(a b G 0)



0 lt ( )micro


88 ϕcos = = (R gt 0)ZR ( )P

EI

89 ( )P2

P1

90 V = Ah (A h gt 0)13

91 a2 + b2 = c2

d

P(x1 y1)

ax1 + by1 + c = 0

b

a

c

y1

y2

y

x1

R

x2

ndash ndash


92 S =2


94 Z = 12 f Cπ

R2 + ( )=12C2

R2 + ω (R f C gt 0)( )2

X

Y(X1 Y1)

(X4 Y4)

(X3 Y3)

(X2 Y2)

CRt


Yn = YA + nsin nα

R RR

R(X1 Y1)

(XA YA)

X

α0

α1θ 1R

v




99 R = vuR (v G 0)

100 E = I 2 (I gt 0) 12

ω ω

i

r

III

ndash ndash

( )

S = rR (rRgt 0) 12


102IACL

S

R

l

IA = 2sinndash1

2Rl


2R2


π

103Rr

104 τ PA= (A P gt 0)

105 τ = G (G gt 0) γ γ

106

θ

θ

F

mg


107

F

O

H

mgx


mgt 0

108 x = r sin ( r gt 0)θ

109 x = r sin t ( r gt 0)ω

v

ndash ndash

110 T = 2 (Rgt 0)π Rg

111

R

A

a

0

sin Aa = 2R ( )0˚lt A lt 180˚

R gt 0

112

[ ]a = 2Rsin A


aR = (0˚lt A lt 180˚ a gt 0 )

113 sin Aa

sin Bb

= = = 2R sin Cc

V = r 3 ( r gt 0)43

115 I = ( r gt 0)P4 r 2 π

116 S = 4 r 2 ( r gt 0)π

117

118 T = 2 π m k (m gt 0 k gt 0)

π

( )114

CL

IA

R

TLSL

TL = R tan IA 2

CL = RIA180π

SL = R ndash1 1

cos IA 2

v

0˚lt A B C lt 180˚

a b c R gt 0 ( )

ndash ndash




α

S = (a + b) h (a b h gt 0) 12

119

120

( )0 lt lt 90˚KR C gt 0

α

121

122 λ = RσE (E Rgt 0) σ

123 S = bc sin A 12

(0˚ lt A lt 180˚)

124 Y

X

(X1 Y1)

(X2 Y2)

(X3 Y3)

S =2



y = 0 x lt a x lt b

126 F = G Mm (M m r gt 0)


R

(XA YA)

(XB YB)

(XC YC)

(x y)x =

m + m1




128

α

( )V2

V1

A [dB]= 20 log10 [dB] (V2 V1 gt 0) υ

r2




ndash ndash

6

7

8

9




α

α

10

11

12

= (M T gt 0)3RTM



[ + + Z = Const]Pγ

2

2g

2g(P1 ndash P2)

γ

[ + + Z = Const]Pγ


13 η = Q1 ndash Q2

Q1

( Q1 G 0)

XP = Rcos + XAα

YP = Rsin + YAα

α

α

y

x

Y X

(0 0)

(x0 y0)

α

(xp yp) (Xp Yp)

(XA YA)

(Xp Yp)

(XB YB)

αR

υ

2υ

12 ndash 2

2υ υ

υ


2 = υ

2

2gυ

γ( P Z gt 0)γυZ2 = + + Z1


2

2gυυ



ndash ndash

14

15

16

17

18

19

20

η = T1 ndash T2

T1

( T1 G 0)


F = m r

S0 = rR π (rRgt 0)

V = r2h (r h gt 0) 13

π

S0 = 2 rh π (r h gt 0)

21 V = r2hπ (r h gt 0)

24 T = 1f ( f gt 0)

25 S = r2π (r gt 0)

22 T = 2ωπ ( G 0)ω

2υ

= Tσ ( T gt 0 ) σ υ

23 T = 2 r υπ ( G 0)υ

(r m gt 0)υ


[ ]

[ ]

27 ρρA1 1 1 = A2 2 2 = Constυ υ

ρ

28 A1 1 1 = A2 2 2 = Constυ ρ υ ρ

( 2 G 0 2 gt 0)ρυ

(A2 2 gt 0)2= υ A2 2ρ

A1 1 1ρυ

A2= A1 1 1

ρυ 2 2

ρυ

ndash ndash

XP = Rcos + XAα

YP = Rsin + YAα

29 R1 = R4R5 + R5R6 + R6R4

R5

R2 = R4R5 + R5R6 + R6R4

R6

R3 = R4R5 + R5R6 + R6R4

R4(R4 R5 R6 gt 0)

30 R4 = R5 R1R2

R1 + R2 + R3

= R2R3

R1 + R2 + R3

R6 = R3R1

R1 + R2 + R3

(R1 R2 R3 gt 0)


α



33 r2

QqF =4 0π ε

1 (r gt 0)


35 Ai [dB] = 20 log10 [dB] ( )Ι2

Ι1

(Ι2 Ι1 gt 0)


(XA YA)

(Xp Yp)

αR

X

ndash ndash

υ

W = CV 2 12

W = 12 C

Q 2

(C gt 0)

Up = kx 2 (k x gt 0)12

= 0t + υS gt 2 (t gt 0)12




υ ndash u

39

40

41

42

43 W = QV12

44 W = ED12

(E D gt 0)

45 W = E 2 12

( E gt 0)ε ε

464 0r 2π ε

QE = ( = 9 times 109 )Qr 2 ( r gt 0)

47 f =2

1π LC

(L C gt 0)

48 S = ab (a b gt 0) π

a

b

(XA YA)

(XB YB)

αR

X

49 H = U + PV (U P Vgt 0)

ndash ndash


N C n

sin ic = (1 lt n12) 1n12

55






61

62 W = LI2 (L I gt 0) 12



r ndash 1

53 Q = mcT

542


y = 0 x lt 0( gt 0)λ


ndash 0 ndash

63 x =n ndash m



)( m = X2 ndash X1

Y2 ndash Y1

n = X4 ndash X3

Y4 ndash Y3



)( m = X2 ndash X1

Y2 ndash Y1

n = tan α

65 P = RI2 (R gt 0)

66 P = (R gt 0) V2

R

67


Cω

69 Z = R2 + (2 f L )2 (= R2 + 2 L2 ) (R f L gt 0)π ω

70 Z = ( )1R

2

+ ( )2


1

(R f C L gt 0)

71 Z = ( )2


R2 + ( )= ( ) L ndash 1CR2 + ω ω

(R f L C gt 0)

72 F = mH (m H gt 0)

(X4 Y4)(X1 Y1)

(X2 Y2)(X3 Y3)

(x y)

(X3 Y3)

(X2 Y2)

(X1 Y1)

(x y)

X

α

Uk = m 212

υ (m gt 0)υ

ndash ndash


73

74

T = m 2 = R2 (m gt 0 B gt 0 R gt 0)12

12 m

q2B2

υ

75 R1 = Z0 R2 =1ndash Z0

Z1

1ndash Z0

Z1

Z1


Z0

Z1

Z0 +

R2Z0 Z1

R1

(Z0 gt Z1 gt 0)

76 [ ]Z1

D1M = = =Z2

D2 Pπ

M = ZD (D Z gt 0)

77 [ ]Z1

D1M = = =Z2

D2 Pπ

M = P (P gt 0)π

78 [ ]Z1

D1M = = =Z2

D2 Pπ

D2 = (D1 Z1 Z2 gt 0)D1Z2

Z1

79 [ ]Z1

D1M = = =Z2

D2 Pπ

D = (P Z gt 0)PZπ

80 σy = e ndash

2 1π

( gt 0)( x ndash )

2

2 2

microσ σ


(R f C L gt 0)


R1

ndash ndash

Ap [dB] = 10 log10 [dB] (P2 P1 gt 0)

83 C = Sdε

(S d gt 0)

84 d = ax1 + by1 + c a2 + b2

(a b G 0)



0 lt ( )micro


88 ϕcos = = (R gt 0)ZR ( )P

EI

89 ( )P2

P1

90 V = Ah (A h gt 0)13

91 a2 + b2 = c2

d

P(x1 y1)

ax1 + by1 + c = 0

b

a

c

y1

y2

y

x1

R

x2

ndash ndash


92 S =2


94 Z = 12 f Cπ

R2 + ( )=12C2

R2 + ω (R f C gt 0)( )2

X

Y(X1 Y1)

(X4 Y4)

(X3 Y3)

(X2 Y2)

CRt


Yn = YA + nsin nα

R RR

R(X1 Y1)

(XA YA)

X

α0

α1θ 1R

v




99 R = vuR (v G 0)

100 E = I 2 (I gt 0) 12

ω ω

i

r

III

ndash ndash

( )

S = rR (rRgt 0) 12


102IACL

S

R

l

IA = 2sinndash1

2Rl


2R2


π

103Rr

104 τ PA= (A P gt 0)

105 τ = G (G gt 0) γ γ

106

θ

θ

F

mg


107

F

O

H

mgx


mgt 0

108 x = r sin ( r gt 0)θ

109 x = r sin t ( r gt 0)ω

v

ndash ndash

110 T = 2 (Rgt 0)π Rg

111

R

A

a

0

sin Aa = 2R ( )0˚lt A lt 180˚

R gt 0

112

[ ]a = 2Rsin A


aR = (0˚lt A lt 180˚ a gt 0 )

113 sin Aa

sin Bb

= = = 2R sin Cc

V = r 3 ( r gt 0)43

115 I = ( r gt 0)P4 r 2 π

116 S = 4 r 2 ( r gt 0)π

117

118 T = 2 π m k (m gt 0 k gt 0)

π

( )114

CL

IA

R

TLSL

TL = R tan IA 2

CL = RIA180π

SL = R ndash1 1

cos IA 2

v

0˚lt A B C lt 180˚

a b c R gt 0 ( )

ndash ndash




α

S = (a + b) h (a b h gt 0) 12

119

120

( )0 lt lt 90˚KR C gt 0

α

121

122 λ = RσE (E Rgt 0) σ

123 S = bc sin A 12

(0˚ lt A lt 180˚)

124 Y

X

(X1 Y1)

(X2 Y2)

(X3 Y3)

S =2



y = 0 x lt a x lt b

126 F = G Mm (M m r gt 0)


R

(XA YA)

(XB YB)

(XC YC)

(x y)x =

m + m1




128

α

( )V2

V1

A [dB]= 20 log10 [dB] (V2 V1 gt 0) υ

r2




ndash ndash

14

15

16

17

18

19

20

η = T1 ndash T2

T1

( T1 G 0)


F = m r

S0 = rR π (rRgt 0)

V = r2h (r h gt 0) 13

π

S0 = 2 rh π (r h gt 0)

21 V = r2hπ (r h gt 0)

24 T = 1f ( f gt 0)

25 S = r2π (r gt 0)

22 T = 2ωπ ( G 0)ω

2υ

= Tσ ( T gt 0 ) σ υ

23 T = 2 r υπ ( G 0)υ

(r m gt 0)υ


[ ]

[ ]

27 ρρA1 1 1 = A2 2 2 = Constυ υ

ρ

28 A1 1 1 = A2 2 2 = Constυ ρ υ ρ

( 2 G 0 2 gt 0)ρυ

(A2 2 gt 0)2= υ A2 2ρ

A1 1 1ρυ

A2= A1 1 1

ρυ 2 2

ρυ

ndash ndash

XP = Rcos + XAα

YP = Rsin + YAα

29 R1 = R4R5 + R5R6 + R6R4

R5

R2 = R4R5 + R5R6 + R6R4

R6

R3 = R4R5 + R5R6 + R6R4

R4(R4 R5 R6 gt 0)

30 R4 = R5 R1R2

R1 + R2 + R3

= R2R3

R1 + R2 + R3

R6 = R3R1

R1 + R2 + R3

(R1 R2 R3 gt 0)


α



33 r2

QqF =4 0π ε

1 (r gt 0)


35 Ai [dB] = 20 log10 [dB] ( )Ι2

Ι1

(Ι2 Ι1 gt 0)


(XA YA)

(Xp Yp)

αR

X

ndash ndash

υ

W = CV 2 12

W = 12 C

Q 2

(C gt 0)

Up = kx 2 (k x gt 0)12

= 0t + υS gt 2 (t gt 0)12




υ ndash u

39

40

41

42

43 W = QV12

44 W = ED12

(E D gt 0)

45 W = E 2 12

( E gt 0)ε ε

464 0r 2π ε

QE = ( = 9 times 109 )Qr 2 ( r gt 0)

47 f =2

1π LC

(L C gt 0)

48 S = ab (a b gt 0) π

a

b

(XA YA)

(XB YB)

αR

X

49 H = U + PV (U P Vgt 0)

ndash ndash


N C n

sin ic = (1 lt n12) 1n12

55






61

62 W = LI2 (L I gt 0) 12



r ndash 1

53 Q = mcT

542


y = 0 x lt 0( gt 0)λ


ndash 0 ndash

63 x =n ndash m



)( m = X2 ndash X1

Y2 ndash Y1

n = X4 ndash X3

Y4 ndash Y3



)( m = X2 ndash X1

Y2 ndash Y1

n = tan α

65 P = RI2 (R gt 0)

66 P = (R gt 0) V2

R

67


Cω

69 Z = R2 + (2 f L )2 (= R2 + 2 L2 ) (R f L gt 0)π ω

70 Z = ( )1R

2

+ ( )2


1

(R f C L gt 0)

71 Z = ( )2


R2 + ( )= ( ) L ndash 1CR2 + ω ω

(R f L C gt 0)

72 F = mH (m H gt 0)

(X4 Y4)(X1 Y1)

(X2 Y2)(X3 Y3)

(x y)

(X3 Y3)

(X2 Y2)

(X1 Y1)

(x y)

X

α

Uk = m 212

υ (m gt 0)υ

ndash ndash


73

74

T = m 2 = R2 (m gt 0 B gt 0 R gt 0)12

12 m

q2B2

υ

75 R1 = Z0 R2 =1ndash Z0

Z1

1ndash Z0

Z1

Z1


Z0

Z1

Z0 +

R2Z0 Z1

R1

(Z0 gt Z1 gt 0)

76 [ ]Z1

D1M = = =Z2

D2 Pπ

M = ZD (D Z gt 0)

77 [ ]Z1

D1M = = =Z2

D2 Pπ

M = P (P gt 0)π

78 [ ]Z1

D1M = = =Z2

D2 Pπ

D2 = (D1 Z1 Z2 gt 0)D1Z2

Z1

79 [ ]Z1

D1M = = =Z2

D2 Pπ

D = (P Z gt 0)PZπ

80 σy = e ndash

2 1π

( gt 0)( x ndash )

2

2 2

microσ σ


(R f C L gt 0)


R1

ndash ndash

Ap [dB] = 10 log10 [dB] (P2 P1 gt 0)

83 C = Sdε

(S d gt 0)

84 d = ax1 + by1 + c a2 + b2

(a b G 0)



0 lt ( )micro


88 ϕcos = = (R gt 0)ZR ( )P

EI

89 ( )P2

P1

90 V = Ah (A h gt 0)13

91 a2 + b2 = c2

d

P(x1 y1)

ax1 + by1 + c = 0

b

a

c

y1

y2

y

x1

R

x2

ndash ndash


92 S =2


94 Z = 12 f Cπ

R2 + ( )=12C2

R2 + ω (R f C gt 0)( )2

X

Y(X1 Y1)

(X4 Y4)

(X3 Y3)

(X2 Y2)

CRt


Yn = YA + nsin nα

R RR

R(X1 Y1)

(XA YA)

X

α0

α1θ 1R

v




99 R = vuR (v G 0)

100 E = I 2 (I gt 0) 12

ω ω

i

r

III

ndash ndash

( )

S = rR (rRgt 0) 12


102IACL

S

R

l

IA = 2sinndash1

2Rl


2R2


π

103Rr

104 τ PA= (A P gt 0)

105 τ = G (G gt 0) γ γ

106

θ

θ

F

mg


107

F

O

H

mgx


mgt 0

108 x = r sin ( r gt 0)θ

109 x = r sin t ( r gt 0)ω

v

ndash ndash

110 T = 2 (Rgt 0)π Rg

111

R

A

a

0

sin Aa = 2R ( )0˚lt A lt 180˚

R gt 0

112

[ ]a = 2Rsin A


aR = (0˚lt A lt 180˚ a gt 0 )

113 sin Aa

sin Bb

= = = 2R sin Cc

V = r 3 ( r gt 0)43

115 I = ( r gt 0)P4 r 2 π

116 S = 4 r 2 ( r gt 0)π

117

118 T = 2 π m k (m gt 0 k gt 0)

π

( )114

CL

IA

R

TLSL

TL = R tan IA 2

CL = RIA180π

SL = R ndash1 1

cos IA 2

v

0˚lt A B C lt 180˚

a b c R gt 0 ( )

ndash ndash




α

S = (a + b) h (a b h gt 0) 12

119

120

( )0 lt lt 90˚KR C gt 0

α

121

122 λ = RσE (E Rgt 0) σ

123 S = bc sin A 12

(0˚ lt A lt 180˚)

124 Y

X

(X1 Y1)

(X2 Y2)

(X3 Y3)

S =2



y = 0 x lt a x lt b

126 F = G Mm (M m r gt 0)


R

(XA YA)

(XB YB)

(XC YC)

(x y)x =

m + m1




128

α

( )V2

V1

A [dB]= 20 log10 [dB] (V2 V1 gt 0) υ

r2




ndash ndash

XP = Rcos + XAα

YP = Rsin + YAα

29 R1 = R4R5 + R5R6 + R6R4

R5

R2 = R4R5 + R5R6 + R6R4

R6

R3 = R4R5 + R5R6 + R6R4

R4(R4 R5 R6 gt 0)

30 R4 = R5 R1R2

R1 + R2 + R3

= R2R3

R1 + R2 + R3

R6 = R3R1

R1 + R2 + R3

(R1 R2 R3 gt 0)


α



33 r2

QqF =4 0π ε

1 (r gt 0)


35 Ai [dB] = 20 log10 [dB] ( )Ι2

Ι1

(Ι2 Ι1 gt 0)


(XA YA)

(Xp Yp)

αR

X

ndash ndash

υ

W = CV 2 12

W = 12 C

Q 2

(C gt 0)

Up = kx 2 (k x gt 0)12

= 0t + υS gt 2 (t gt 0)12




υ ndash u

39

40

41

42

43 W = QV12

44 W = ED12

(E D gt 0)

45 W = E 2 12

( E gt 0)ε ε

464 0r 2π ε

QE = ( = 9 times 109 )Qr 2 ( r gt 0)

47 f =2

1π LC

(L C gt 0)

48 S = ab (a b gt 0) π

a

b

(XA YA)

(XB YB)

αR

X

49 H = U + PV (U P Vgt 0)

ndash ndash


N C n

sin ic = (1 lt n12) 1n12

55






61

62 W = LI2 (L I gt 0) 12



r ndash 1

53 Q = mcT

542


y = 0 x lt 0( gt 0)λ


ndash 0 ndash

63 x =n ndash m



)( m = X2 ndash X1

Y2 ndash Y1

n = X4 ndash X3

Y4 ndash Y3



)( m = X2 ndash X1

Y2 ndash Y1

n = tan α

65 P = RI2 (R gt 0)

66 P = (R gt 0) V2

R

67


Cω

69 Z = R2 + (2 f L )2 (= R2 + 2 L2 ) (R f L gt 0)π ω

70 Z = ( )1R

2

+ ( )2


1

(R f C L gt 0)

71 Z = ( )2


R2 + ( )= ( ) L ndash 1CR2 + ω ω

(R f L C gt 0)

72 F = mH (m H gt 0)

(X4 Y4)(X1 Y1)

(X2 Y2)(X3 Y3)

(x y)

(X3 Y3)

(X2 Y2)

(X1 Y1)

(x y)

X

α

Uk = m 212

υ (m gt 0)υ

ndash ndash


73

74

T = m 2 = R2 (m gt 0 B gt 0 R gt 0)12

12 m

q2B2

υ

75 R1 = Z0 R2 =1ndash Z0

Z1

1ndash Z0

Z1

Z1


Z0

Z1

Z0 +

R2Z0 Z1

R1

(Z0 gt Z1 gt 0)

76 [ ]Z1

D1M = = =Z2

D2 Pπ

M = ZD (D Z gt 0)

77 [ ]Z1

D1M = = =Z2

D2 Pπ

M = P (P gt 0)π

78 [ ]Z1

D1M = = =Z2

D2 Pπ

D2 = (D1 Z1 Z2 gt 0)D1Z2

Z1

79 [ ]Z1

D1M = = =Z2

D2 Pπ

D = (P Z gt 0)PZπ

80 σy = e ndash

2 1π

( gt 0)( x ndash )

2

2 2

microσ σ


(R f C L gt 0)


R1

ndash ndash

Ap [dB] = 10 log10 [dB] (P2 P1 gt 0)

83 C = Sdε

(S d gt 0)

84 d = ax1 + by1 + c a2 + b2

(a b G 0)



0 lt ( )micro


88 ϕcos = = (R gt 0)ZR ( )P

EI

89 ( )P2

P1

90 V = Ah (A h gt 0)13

91 a2 + b2 = c2

d

P(x1 y1)

ax1 + by1 + c = 0

b

a

c

y1

y2

y

x1

R

x2

ndash ndash


92 S =2


94 Z = 12 f Cπ

R2 + ( )=12C2

R2 + ω (R f C gt 0)( )2

X

Y(X1 Y1)

(X4 Y4)

(X3 Y3)

(X2 Y2)

CRt


Yn = YA + nsin nα

R RR

R(X1 Y1)

(XA YA)

X

α0

α1θ 1R

v




99 R = vuR (v G 0)

100 E = I 2 (I gt 0) 12

ω ω

i

r

III

ndash ndash

( )

S = rR (rRgt 0) 12


102IACL

S

R

l

IA = 2sinndash1

2Rl


2R2


π

103Rr

104 τ PA= (A P gt 0)

105 τ = G (G gt 0) γ γ

106

θ

θ

F

mg


107

F

O

H

mgx


mgt 0

108 x = r sin ( r gt 0)θ

109 x = r sin t ( r gt 0)ω

v

ndash ndash

110 T = 2 (Rgt 0)π Rg

111

R

A

a

0

sin Aa = 2R ( )0˚lt A lt 180˚

R gt 0

112

[ ]a = 2Rsin A


aR = (0˚lt A lt 180˚ a gt 0 )

113 sin Aa

sin Bb

= = = 2R sin Cc

V = r 3 ( r gt 0)43

115 I = ( r gt 0)P4 r 2 π

116 S = 4 r 2 ( r gt 0)π

117

118 T = 2 π m k (m gt 0 k gt 0)

π

( )114

CL

IA

R

TLSL

TL = R tan IA 2

CL = RIA180π

SL = R ndash1 1

cos IA 2

v

0˚lt A B C lt 180˚

a b c R gt 0 ( )

ndash ndash




α

S = (a + b) h (a b h gt 0) 12

119

120

( )0 lt lt 90˚KR C gt 0

α

121

122 λ = RσE (E Rgt 0) σ

123 S = bc sin A 12

(0˚ lt A lt 180˚)

124 Y

X

(X1 Y1)

(X2 Y2)

(X3 Y3)

S =2



y = 0 x lt a x lt b

126 F = G Mm (M m r gt 0)


R

(XA YA)

(XB YB)

(XC YC)

(x y)x =

m + m1




128

α

( )V2

V1

A [dB]= 20 log10 [dB] (V2 V1 gt 0) υ

r2




ndash ndash

υ

W = CV 2 12

W = 12 C

Q 2

(C gt 0)

Up = kx 2 (k x gt 0)12

= 0t + υS gt 2 (t gt 0)12




υ ndash u

39

40

41

42

43 W = QV12

44 W = ED12

(E D gt 0)

45 W = E 2 12

( E gt 0)ε ε

464 0r 2π ε

QE = ( = 9 times 109 )Qr 2 ( r gt 0)

47 f =2

1π LC

(L C gt 0)

48 S = ab (a b gt 0) π

a

b

(XA YA)

(XB YB)

αR

X

49 H = U + PV (U P Vgt 0)

ndash ndash


N C n

sin ic = (1 lt n12) 1n12

55






61

62 W = LI2 (L I gt 0) 12



r ndash 1

53 Q = mcT

542


y = 0 x lt 0( gt 0)λ


ndash 0 ndash

63 x =n ndash m



)( m = X2 ndash X1

Y2 ndash Y1

n = X4 ndash X3

Y4 ndash Y3



)( m = X2 ndash X1

Y2 ndash Y1

n = tan α

65 P = RI2 (R gt 0)

66 P = (R gt 0) V2

R

67


Cω

69 Z = R2 + (2 f L )2 (= R2 + 2 L2 ) (R f L gt 0)π ω

70 Z = ( )1R

2

+ ( )2


1

(R f C L gt 0)

71 Z = ( )2


R2 + ( )= ( ) L ndash 1CR2 + ω ω

(R f L C gt 0)

72 F = mH (m H gt 0)

(X4 Y4)(X1 Y1)

(X2 Y2)(X3 Y3)

(x y)

(X3 Y3)

(X2 Y2)

(X1 Y1)

(x y)

X

α

Uk = m 212

υ (m gt 0)υ

ndash ndash


73

74

T = m 2 = R2 (m gt 0 B gt 0 R gt 0)12

12 m

q2B2

υ

75 R1 = Z0 R2 =1ndash Z0

Z1

1ndash Z0

Z1

Z1


Z0

Z1

Z0 +

R2Z0 Z1

R1

(Z0 gt Z1 gt 0)

76 [ ]Z1

D1M = = =Z2

D2 Pπ

M = ZD (D Z gt 0)

77 [ ]Z1

D1M = = =Z2

D2 Pπ

M = P (P gt 0)π

78 [ ]Z1

D1M = = =Z2

D2 Pπ

D2 = (D1 Z1 Z2 gt 0)D1Z2

Z1

79 [ ]Z1

D1M = = =Z2

D2 Pπ

D = (P Z gt 0)PZπ

80 σy = e ndash

2 1π

( gt 0)( x ndash )

2

2 2

microσ σ


(R f C L gt 0)


R1

ndash ndash

Ap [dB] = 10 log10 [dB] (P2 P1 gt 0)

83 C = Sdε

(S d gt 0)

84 d = ax1 + by1 + c a2 + b2

(a b G 0)



0 lt ( )micro


88 ϕcos = = (R gt 0)ZR ( )P

EI

89 ( )P2

P1

90 V = Ah (A h gt 0)13

91 a2 + b2 = c2

d

P(x1 y1)

ax1 + by1 + c = 0

b

a

c

y1

y2

y

x1

R

x2

ndash ndash


92 S =2


94 Z = 12 f Cπ

R2 + ( )=12C2

R2 + ω (R f C gt 0)( )2

X

Y(X1 Y1)

(X4 Y4)

(X3 Y3)

(X2 Y2)

CRt


Yn = YA + nsin nα

R RR

R(X1 Y1)

(XA YA)

X

α0

α1θ 1R

v




99 R = vuR (v G 0)

100 E = I 2 (I gt 0) 12

ω ω

i

r

III

ndash ndash

( )

S = rR (rRgt 0) 12


102IACL

S

R

l

IA = 2sinndash1

2Rl


2R2


π

103Rr

104 τ PA= (A P gt 0)

105 τ = G (G gt 0) γ γ

106

θ

θ

F

mg


107

F

O

H

mgx


mgt 0

108 x = r sin ( r gt 0)θ

109 x = r sin t ( r gt 0)ω

v

ndash ndash

110 T = 2 (Rgt 0)π Rg

111

R

A

a

0

sin Aa = 2R ( )0˚lt A lt 180˚

R gt 0

112

[ ]a = 2Rsin A


aR = (0˚lt A lt 180˚ a gt 0 )

113 sin Aa

sin Bb

= = = 2R sin Cc

V = r 3 ( r gt 0)43

115 I = ( r gt 0)P4 r 2 π

116 S = 4 r 2 ( r gt 0)π

117

118 T = 2 π m k (m gt 0 k gt 0)

π

( )114

CL

IA

R

TLSL

TL = R tan IA 2

CL = RIA180π

SL = R ndash1 1

cos IA 2

v

0˚lt A B C lt 180˚

a b c R gt 0 ( )

ndash ndash




α

S = (a + b) h (a b h gt 0) 12

119

120

( )0 lt lt 90˚KR C gt 0

α

121

122 λ = RσE (E Rgt 0) σ

123 S = bc sin A 12

(0˚ lt A lt 180˚)

124 Y

X

(X1 Y1)

(X2 Y2)

(X3 Y3)

S =2



y = 0 x lt a x lt b

126 F = G Mm (M m r gt 0)


R

(XA YA)

(XB YB)

(XC YC)

(x y)x =

m + m1




128

α

( )V2

V1

A [dB]= 20 log10 [dB] (V2 V1 gt 0) υ

r2




ndash ndash


N C n

sin ic = (1 lt n12) 1n12

55






61

62 W = LI2 (L I gt 0) 12



r ndash 1

53 Q = mcT

542


y = 0 x lt 0( gt 0)λ


ndash 0 ndash

63 x =n ndash m



)( m = X2 ndash X1

Y2 ndash Y1

n = X4 ndash X3

Y4 ndash Y3



)( m = X2 ndash X1

Y2 ndash Y1

n = tan α

65 P = RI2 (R gt 0)

66 P = (R gt 0) V2

R

67


Cω

69 Z = R2 + (2 f L )2 (= R2 + 2 L2 ) (R f L gt 0)π ω

70 Z = ( )1R

2

+ ( )2


1

(R f C L gt 0)

71 Z = ( )2


R2 + ( )= ( ) L ndash 1CR2 + ω ω

(R f L C gt 0)

72 F = mH (m H gt 0)

(X4 Y4)(X1 Y1)

(X2 Y2)(X3 Y3)

(x y)

(X3 Y3)

(X2 Y2)

(X1 Y1)

(x y)

X

α

Uk = m 212

υ (m gt 0)υ

ndash ndash


73

74

T = m 2 = R2 (m gt 0 B gt 0 R gt 0)12

12 m

q2B2

υ

75 R1 = Z0 R2 =1ndash Z0

Z1

1ndash Z0

Z1

Z1


Z0

Z1

Z0 +

R2Z0 Z1

R1

(Z0 gt Z1 gt 0)

76 [ ]Z1

D1M = = =Z2

D2 Pπ

M = ZD (D Z gt 0)

77 [ ]Z1

D1M = = =Z2

D2 Pπ

M = P (P gt 0)π

78 [ ]Z1

D1M = = =Z2

D2 Pπ

D2 = (D1 Z1 Z2 gt 0)D1Z2

Z1

79 [ ]Z1

D1M = = =Z2

D2 Pπ

D = (P Z gt 0)PZπ

80 σy = e ndash

2 1π

( gt 0)( x ndash )

2

2 2

microσ σ


(R f C L gt 0)


R1

ndash ndash

Ap [dB] = 10 log10 [dB] (P2 P1 gt 0)

83 C = Sdε

(S d gt 0)

84 d = ax1 + by1 + c a2 + b2

(a b G 0)



0 lt ( )micro


88 ϕcos = = (R gt 0)ZR ( )P

EI

89 ( )P2

P1

90 V = Ah (A h gt 0)13

91 a2 + b2 = c2

d

P(x1 y1)

ax1 + by1 + c = 0

b

a

c

y1

y2

y

x1

R

x2

ndash ndash


92 S =2


94 Z = 12 f Cπ

R2 + ( )=12C2

R2 + ω (R f C gt 0)( )2

X

Y(X1 Y1)

(X4 Y4)

(X3 Y3)

(X2 Y2)

CRt


Yn = YA + nsin nα

R RR

R(X1 Y1)

(XA YA)

X

α0

α1θ 1R

v




99 R = vuR (v G 0)

100 E = I 2 (I gt 0) 12

ω ω

i

r

III

ndash ndash

( )

S = rR (rRgt 0) 12


102IACL

S

R

l

IA = 2sinndash1

2Rl


2R2


π

103Rr

104 τ PA= (A P gt 0)

105 τ = G (G gt 0) γ γ

106

θ

θ

F

mg


107

F

O

H

mgx


mgt 0

108 x = r sin ( r gt 0)θ

109 x = r sin t ( r gt 0)ω

v

ndash ndash

110 T = 2 (Rgt 0)π Rg

111

R

A

a

0

sin Aa = 2R ( )0˚lt A lt 180˚

R gt 0

112

[ ]a = 2Rsin A


aR = (0˚lt A lt 180˚ a gt 0 )

113 sin Aa

sin Bb

= = = 2R sin Cc

V = r 3 ( r gt 0)43

115 I = ( r gt 0)P4 r 2 π

116 S = 4 r 2 ( r gt 0)π

117

118 T = 2 π m k (m gt 0 k gt 0)

π

( )114

CL

IA

R

TLSL

TL = R tan IA 2

CL = RIA180π

SL = R ndash1 1

cos IA 2

v

0˚lt A B C lt 180˚

a b c R gt 0 ( )

ndash ndash




α

S = (a + b) h (a b h gt 0) 12

119

120

( )0 lt lt 90˚KR C gt 0

α

121

122 λ = RσE (E Rgt 0) σ

123 S = bc sin A 12

(0˚ lt A lt 180˚)

124 Y

X

(X1 Y1)

(X2 Y2)

(X3 Y3)

S =2



y = 0 x lt a x lt b

126 F = G Mm (M m r gt 0)


R

(XA YA)

(XB YB)

(XC YC)

(x y)x =

m + m1




128

α

( )V2

V1

A [dB]= 20 log10 [dB] (V2 V1 gt 0) υ

r2




ndash 0 ndash

63 x =n ndash m



)( m = X2 ndash X1

Y2 ndash Y1

n = X4 ndash X3

Y4 ndash Y3



)( m = X2 ndash X1

Y2 ndash Y1

n = tan α

65 P = RI2 (R gt 0)

66 P = (R gt 0) V2

R

67


Cω

69 Z = R2 + (2 f L )2 (= R2 + 2 L2 ) (R f L gt 0)π ω

70 Z = ( )1R

2

+ ( )2


1

(R f C L gt 0)

71 Z = ( )2


R2 + ( )= ( ) L ndash 1CR2 + ω ω

(R f L C gt 0)

72 F = mH (m H gt 0)

(X4 Y4)(X1 Y1)

(X2 Y2)(X3 Y3)

(x y)

(X3 Y3)

(X2 Y2)

(X1 Y1)

(x y)

X

α

Uk = m 212

υ (m gt 0)υ

ndash ndash


73

74

T = m 2 = R2 (m gt 0 B gt 0 R gt 0)12

12 m

q2B2

υ

75 R1 = Z0 R2 =1ndash Z0

Z1

1ndash Z0

Z1

Z1


Z0

Z1

Z0 +

R2Z0 Z1

R1

(Z0 gt Z1 gt 0)

76 [ ]Z1

D1M = = =Z2

D2 Pπ

M = ZD (D Z gt 0)

77 [ ]Z1

D1M = = =Z2

D2 Pπ

M = P (P gt 0)π

78 [ ]Z1

D1M = = =Z2

D2 Pπ

D2 = (D1 Z1 Z2 gt 0)D1Z2

Z1

79 [ ]Z1

D1M = = =Z2

D2 Pπ

D = (P Z gt 0)PZπ

80 σy = e ndash

2 1π

( gt 0)( x ndash )

2

2 2

microσ σ


(R f C L gt 0)


R1

ndash ndash

Ap [dB] = 10 log10 [dB] (P2 P1 gt 0)

83 C = Sdε

(S d gt 0)

84 d = ax1 + by1 + c a2 + b2

(a b G 0)



0 lt ( )micro


88 ϕcos = = (R gt 0)ZR ( )P

EI

89 ( )P2

P1

90 V = Ah (A h gt 0)13

91 a2 + b2 = c2

d

P(x1 y1)

ax1 + by1 + c = 0

b

a

c

y1

y2

y

x1

R

x2

ndash ndash


92 S =2


94 Z = 12 f Cπ

R2 + ( )=12C2

R2 + ω (R f C gt 0)( )2

X

Y(X1 Y1)

(X4 Y4)

(X3 Y3)

(X2 Y2)

CRt


Yn = YA + nsin nα

R RR

R(X1 Y1)

(XA YA)

X

α0

α1θ 1R

v




99 R = vuR (v G 0)

100 E = I 2 (I gt 0) 12

ω ω

i

r

III

ndash ndash

( )

S = rR (rRgt 0) 12


102IACL

S

R

l

IA = 2sinndash1

2Rl


2R2


π

103Rr

104 τ PA= (A P gt 0)

105 τ = G (G gt 0) γ γ

106

θ

θ

F

mg


107

F

O

H

mgx


mgt 0

108 x = r sin ( r gt 0)θ

109 x = r sin t ( r gt 0)ω

v

ndash ndash

110 T = 2 (Rgt 0)π Rg

111

R

A

a

0

sin Aa = 2R ( )0˚lt A lt 180˚

R gt 0

112

[ ]a = 2Rsin A


aR = (0˚lt A lt 180˚ a gt 0 )

113 sin Aa

sin Bb

= = = 2R sin Cc

V = r 3 ( r gt 0)43

115 I = ( r gt 0)P4 r 2 π

116 S = 4 r 2 ( r gt 0)π

117

118 T = 2 π m k (m gt 0 k gt 0)

π

( )114

CL

IA

R

TLSL

TL = R tan IA 2

CL = RIA180π

SL = R ndash1 1

cos IA 2

v

0˚lt A B C lt 180˚

a b c R gt 0 ( )

ndash ndash




α

S = (a + b) h (a b h gt 0) 12

119

120

( )0 lt lt 90˚KR C gt 0

α

121

122 λ = RσE (E Rgt 0) σ

123 S = bc sin A 12

(0˚ lt A lt 180˚)

124 Y

X

(X1 Y1)

(X2 Y2)

(X3 Y3)

S =2



y = 0 x lt a x lt b

126 F = G Mm (M m r gt 0)


R

(XA YA)

(XB YB)

(XC YC)

(x y)x =

m + m1




128

α

( )V2

V1

A [dB]= 20 log10 [dB] (V2 V1 gt 0) υ

r2




ndash ndash


73

74

T = m 2 = R2 (m gt 0 B gt 0 R gt 0)12

12 m

q2B2

υ

75 R1 = Z0 R2 =1ndash Z0

Z1

1ndash Z0

Z1

Z1


Z0

Z1

Z0 +

R2Z0 Z1

R1

(Z0 gt Z1 gt 0)

76 [ ]Z1

D1M = = =Z2

D2 Pπ

M = ZD (D Z gt 0)

77 [ ]Z1

D1M = = =Z2

D2 Pπ

M = P (P gt 0)π

78 [ ]Z1

D1M = = =Z2

D2 Pπ

D2 = (D1 Z1 Z2 gt 0)D1Z2

Z1

79 [ ]Z1

D1M = = =Z2

D2 Pπ

D = (P Z gt 0)PZπ

80 σy = e ndash

2 1π

( gt 0)( x ndash )

2

2 2

microσ σ


(R f C L gt 0)


R1

ndash ndash

Ap [dB] = 10 log10 [dB] (P2 P1 gt 0)

83 C = Sdε

(S d gt 0)

84 d = ax1 + by1 + c a2 + b2

(a b G 0)



0 lt ( )micro


88 ϕcos = = (R gt 0)ZR ( )P

EI

89 ( )P2

P1

90 V = Ah (A h gt 0)13

91 a2 + b2 = c2

d

P(x1 y1)

ax1 + by1 + c = 0

b

a

c

y1

y2

y

x1

R

x2

ndash ndash


92 S =2


94 Z = 12 f Cπ

R2 + ( )=12C2

R2 + ω (R f C gt 0)( )2

X

Y(X1 Y1)

(X4 Y4)

(X3 Y3)

(X2 Y2)

CRt


Yn = YA + nsin nα

R RR

R(X1 Y1)

(XA YA)

X

α0

α1θ 1R

v




99 R = vuR (v G 0)

100 E = I 2 (I gt 0) 12

ω ω

i

r

III

ndash ndash

( )

S = rR (rRgt 0) 12


102IACL

S

R

l

IA = 2sinndash1

2Rl


2R2


π

103Rr

104 τ PA= (A P gt 0)

105 τ = G (G gt 0) γ γ

106

θ

θ

F

mg


107

F

O

H

mgx


mgt 0

108 x = r sin ( r gt 0)θ

109 x = r sin t ( r gt 0)ω

v

ndash ndash

110 T = 2 (Rgt 0)π Rg

111

R

A

a

0

sin Aa = 2R ( )0˚lt A lt 180˚

R gt 0

112

[ ]a = 2Rsin A


aR = (0˚lt A lt 180˚ a gt 0 )

113 sin Aa

sin Bb

= = = 2R sin Cc

V = r 3 ( r gt 0)43

115 I = ( r gt 0)P4 r 2 π

116 S = 4 r 2 ( r gt 0)π

117

118 T = 2 π m k (m gt 0 k gt 0)

π

( )114

CL

IA

R

TLSL

TL = R tan IA 2

CL = RIA180π

SL = R ndash1 1

cos IA 2

v

0˚lt A B C lt 180˚

a b c R gt 0 ( )

ndash ndash




α

S = (a + b) h (a b h gt 0) 12

119

120

( )0 lt lt 90˚KR C gt 0

α

121

122 λ = RσE (E Rgt 0) σ

123 S = bc sin A 12

(0˚ lt A lt 180˚)

124 Y

X

(X1 Y1)

(X2 Y2)

(X3 Y3)

S =2



y = 0 x lt a x lt b

126 F = G Mm (M m r gt 0)


R

(XA YA)

(XB YB)

(XC YC)

(x y)x =

m + m1




128

α

( )V2

V1

A [dB]= 20 log10 [dB] (V2 V1 gt 0) υ

r2




ndash ndash

Ap [dB] = 10 log10 [dB] (P2 P1 gt 0)

83 C = Sdε

(S d gt 0)

84 d = ax1 + by1 + c a2 + b2

(a b G 0)



0 lt ( )micro


88 ϕcos = = (R gt 0)ZR ( )P

EI

89 ( )P2

P1

90 V = Ah (A h gt 0)13

91 a2 + b2 = c2

d

P(x1 y1)

ax1 + by1 + c = 0

b

a

c

y1

y2

y

x1

R

x2

ndash ndash


92 S =2


94 Z = 12 f Cπ

R2 + ( )=12C2

R2 + ω (R f C gt 0)( )2

X

Y(X1 Y1)

(X4 Y4)

(X3 Y3)

(X2 Y2)

CRt


Yn = YA + nsin nα

R RR

R(X1 Y1)

(XA YA)

X

α0

α1θ 1R

v




99 R = vuR (v G 0)

100 E = I 2 (I gt 0) 12

ω ω

i

r

III

ndash ndash

( )

S = rR (rRgt 0) 12


102IACL

S

R

l

IA = 2sinndash1

2Rl


2R2


π

103Rr

104 τ PA= (A P gt 0)

105 τ = G (G gt 0) γ γ

106

θ

θ

F

mg


107

F

O

H

mgx


mgt 0

108 x = r sin ( r gt 0)θ

109 x = r sin t ( r gt 0)ω

v

ndash ndash

110 T = 2 (Rgt 0)π Rg

111

R

A

a

0

sin Aa = 2R ( )0˚lt A lt 180˚

R gt 0

112

[ ]a = 2Rsin A


aR = (0˚lt A lt 180˚ a gt 0 )

113 sin Aa

sin Bb

= = = 2R sin Cc

V = r 3 ( r gt 0)43

115 I = ( r gt 0)P4 r 2 π

116 S = 4 r 2 ( r gt 0)π

117

118 T = 2 π m k (m gt 0 k gt 0)

π

( )114

CL

IA

R

TLSL

TL = R tan IA 2

CL = RIA180π

SL = R ndash1 1

cos IA 2

v

0˚lt A B C lt 180˚

a b c R gt 0 ( )

ndash ndash




α

S = (a + b) h (a b h gt 0) 12

119

120

( )0 lt lt 90˚KR C gt 0

α

121

122 λ = RσE (E Rgt 0) σ

123 S = bc sin A 12

(0˚ lt A lt 180˚)

124 Y

X

(X1 Y1)

(X2 Y2)

(X3 Y3)

S =2



y = 0 x lt a x lt b

126 F = G Mm (M m r gt 0)


R

(XA YA)

(XB YB)

(XC YC)

(x y)x =

m + m1




128

α

( )V2

V1

A [dB]= 20 log10 [dB] (V2 V1 gt 0) υ

r2




ndash ndash


92 S =2


94 Z = 12 f Cπ

R2 + ( )=12C2

R2 + ω (R f C gt 0)( )2

X

Y(X1 Y1)

(X4 Y4)

(X3 Y3)

(X2 Y2)

CRt


Yn = YA + nsin nα

R RR

R(X1 Y1)

(XA YA)

X

α0

α1θ 1R

v




99 R = vuR (v G 0)

100 E = I 2 (I gt 0) 12

ω ω

i

r

III

ndash ndash

( )

S = rR (rRgt 0) 12


102IACL

S

R

l

IA = 2sinndash1

2Rl


2R2


π

103Rr

104 τ PA= (A P gt 0)

105 τ = G (G gt 0) γ γ

106

θ

θ

F

mg


107

F

O

H

mgx


mgt 0

108 x = r sin ( r gt 0)θ

109 x = r sin t ( r gt 0)ω

v

ndash ndash

110 T = 2 (Rgt 0)π Rg

111

R

A

a

0

sin Aa = 2R ( )0˚lt A lt 180˚

R gt 0

112

[ ]a = 2Rsin A


aR = (0˚lt A lt 180˚ a gt 0 )

113 sin Aa

sin Bb

= = = 2R sin Cc

V = r 3 ( r gt 0)43

115 I = ( r gt 0)P4 r 2 π

116 S = 4 r 2 ( r gt 0)π

117

118 T = 2 π m k (m gt 0 k gt 0)

π

( )114

CL

IA

R

TLSL

TL = R tan IA 2

CL = RIA180π

SL = R ndash1 1

cos IA 2

v

0˚lt A B C lt 180˚

a b c R gt 0 ( )

ndash ndash




α

S = (a + b) h (a b h gt 0) 12

119

120

( )0 lt lt 90˚KR C gt 0

α

121

122 λ = RσE (E Rgt 0) σ

123 S = bc sin A 12

(0˚ lt A lt 180˚)

124 Y

X

(X1 Y1)

(X2 Y2)

(X3 Y3)

S =2



y = 0 x lt a x lt b

126 F = G Mm (M m r gt 0)


R

(XA YA)

(XB YB)

(XC YC)

(x y)x =

m + m1




128

α

( )V2

V1

A [dB]= 20 log10 [dB] (V2 V1 gt 0) υ

r2




ndash ndash

( )

S = rR (rRgt 0) 12


102IACL

S

R

l

IA = 2sinndash1

2Rl


2R2


π

103Rr

104 τ PA= (A P gt 0)

105 τ = G (G gt 0) γ γ

106

θ

θ

F

mg


107

F

O

H

mgx


mgt 0

108 x = r sin ( r gt 0)θ

109 x = r sin t ( r gt 0)ω

v

ndash ndash

110 T = 2 (Rgt 0)π Rg

111

R

A

a

0

sin Aa = 2R ( )0˚lt A lt 180˚

R gt 0

112

[ ]a = 2Rsin A


aR = (0˚lt A lt 180˚ a gt 0 )

113 sin Aa

sin Bb

= = = 2R sin Cc

V = r 3 ( r gt 0)43

115 I = ( r gt 0)P4 r 2 π

116 S = 4 r 2 ( r gt 0)π

117

118 T = 2 π m k (m gt 0 k gt 0)

π

( )114

CL

IA

R

TLSL

TL = R tan IA 2

CL = RIA180π

SL = R ndash1 1

cos IA 2

v

0˚lt A B C lt 180˚

a b c R gt 0 ( )

ndash ndash




α

S = (a + b) h (a b h gt 0) 12

119

120

( )0 lt lt 90˚KR C gt 0

α

121

122 λ = RσE (E Rgt 0) σ

123 S = bc sin A 12

(0˚ lt A lt 180˚)

124 Y

X

(X1 Y1)

(X2 Y2)

(X3 Y3)

S =2



y = 0 x lt a x lt b

126 F = G Mm (M m r gt 0)


R

(XA YA)

(XB YB)

(XC YC)

(x y)x =

m + m1




128

α

( )V2

V1

A [dB]= 20 log10 [dB] (V2 V1 gt 0) υ

r2




ndash ndash

110 T = 2 (Rgt 0)π Rg

111

R

A

a

0

sin Aa = 2R ( )0˚lt A lt 180˚

R gt 0

112

[ ]a = 2Rsin A


aR = (0˚lt A lt 180˚ a gt 0 )

113 sin Aa

sin Bb

= = = 2R sin Cc

V = r 3 ( r gt 0)43

115 I = ( r gt 0)P4 r 2 π

116 S = 4 r 2 ( r gt 0)π

117

118 T = 2 π m k (m gt 0 k gt 0)

π

( )114

CL

IA

R

TLSL

TL = R tan IA 2

CL = RIA180π

SL = R ndash1 1

cos IA 2

v

0˚lt A B C lt 180˚

a b c R gt 0 ( )

ndash ndash




α

S = (a + b) h (a b h gt 0) 12

119

120

( )0 lt lt 90˚KR C gt 0

α

121

122 λ = RσE (E Rgt 0) σ

123 S = bc sin A 12

(0˚ lt A lt 180˚)

124 Y

X

(X1 Y1)

(X2 Y2)

(X3 Y3)

S =2



y = 0 x lt a x lt b

126 F = G Mm (M m r gt 0)


R

(XA YA)

(XB YB)

(XC YC)

(x y)x =

m + m1




128

α

( )V2

V1

A [dB]= 20 log10 [dB] (V2 V1 gt 0) υ

r2




ndash ndash




α

S = (a + b) h (a b h gt 0) 12

119

120

( )0 lt lt 90˚KR C gt 0

α

121

122 λ = RσE (E Rgt 0) σ

123 S = bc sin A 12

(0˚ lt A lt 180˚)

124 Y

X

(X1 Y1)

(X2 Y2)

(X3 Y3)

S =2



y = 0 x lt a x lt b

126 F = G Mm (M m r gt 0)


R

(XA YA)

(XB YB)

(XC YC)

(x y)x =

m + m1




128

α

( )V2

V1

A [dB]= 20 log10 [dB] (V2 V1 gt 0) υ

r2




fx-5800P Supplement€ε 2 Q E = ((= 9 × 109 > 0)) Q r r 47 f = 2 π 1 LC (L, C > 0) 48 S, = π ab...

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Transcript of fx-5800P Supplement€ε 2 Q E = ((= 9 × 109 > 0)) Q r r 47 f = 2 π 1 LC (L, C > 0) 48 S, = π ab...