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Engineering Mathematics > Formulas: > Flashcards

Formulas: Flashcards

1
Q

Complex Analysis: Basic Formula

A

Z=x+yi

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2
Q

Complex Analysis: Polar formula

A

z=rcos@+rsin@i

z=r<@

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3
Q

Complex Analysis: Euler’s

A

z=re^@i

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4
Q

Complex Analysis: r (modulus)

A

|z|=sqr root of (x^2 + y^2)

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5
Q

Complex Analysis: Theta @ (Argument)

A

@ = arctan (y/x)

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6
Q

Complex Analysis: De moivre’s

A

Caltech: CMPLX mode

|z|^n <(n x arg (z)) =

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7
Q

Number System: Binary, Bin

A

0 and 1

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8
Q

Number System: Decimal, Dec

A

0 to 9

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9
Q

Number System: Octagecimal, Oct

A

0 to 7

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10
Q

Number System: Hexadecimal, Hex

A

0 to 9 and A to F

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11
Q

Linear Equation

A

ax+b

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12
Q

Vieta’s Formula

A

If X1 and X2 are roots of quadratic equation

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13
Q

Vieta’s Formula: Sum of Roots

A

X1 + X2 = -B/A

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14
Q

Vieta’s Formula: Product of Roots

A

X1X2=C/A

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15
Q

Binomial Theorem: (x+y)^n

Formula for rth term

A

nCn-r+1(x^(n-r+1))(y^(r-1))

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16
Q

Binomial Theorem: (x+y)^n

Formula for Sum of coefficient

A

f(1,1)-f(0,0)

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17
Q

Binomial Theorem: (x+y)^n

Formula for Sum of Exponents

A

(SOEi)(n+1C2)

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18
Q

Binomial Theorem: (x+y)^n

Formula for Number of Terms

A

n+1

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19
Q

Binomial Theorem: (x+y)^n

Formula for middle term

A

r=(n/2) +1

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20
Q

Multinomial Theorem:
(x^alpha + y^beta + z^ gamma) ^n
Formula for rth term

A

[n!/(a! x b! x c!) ] (x^a y^b z ^c)

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21
Q

Multinomial Theorem:
(x^alpha + y^beta + z^ gamma) ^n
Formula for Sum of Exponents

A

(SOEi) (n+t-1Ct)

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22
Q

Multinomial Theorem:
(x^alpha + y^beta + z^ gamma) ^n
Formula for number of terms

A

n+t-1Ct-1 (t no. Of terms)

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23
Q

Arithmetic Sequence: Stat 2

An

A

An=A1+(n-1)d

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24
Q

Arithmetic Sequence: Stat 2

Sn

A

Sn=(n/2)(2A1+ (n-1)d)

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25
Q

Geometric Sequence: Stat 6

An

A

An=A1(r^(n-1))

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26
Q

Geometric Sequence: Stat 6

Sn

A

Sn=A1(1-r^n)/1-r

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27
Q

Fibonacci Sequence: add 2 numbers before it

Golden ratio, Phi Formula

A

Phi=(1+sqr root of 5)/2

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28
Q

Fibonacci Sequence: add 2 numbers before it

Silver ratio, Gamma Y Formula

A

Gamma, Y=(1- sqr root of 5)/2

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29
Q

Fibonacci Sequence: add 2 numbers before it

Rth Term formula

A

(Phi^n - Y^n)/sqr root of 5

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30
Q

Lucas Sequence, L

Rth term:

A

Phi^n +Y^n

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31
Q

i in matrix (Aij)

A

Row

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32
Q

j in matrix (Aij)

A

Column

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33
Q

Clock Problem: Stat 2 Caltech

A

x|y
0|T(-30deg)
60|T(-30deg) +330

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34
Q

Clock Problem: First

A

-Theta

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35
Q

Clock Problem: 2nd

A

Theta

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36
Q

Clock Problem: 3rd

A
  • theta + 360
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37
Q

Clock Problem: 4th

A

Theta + 360

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38
Q

Clock Problem: 5th

A

-theta + 720

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39
Q

Clock Problem: 6th

A

Theta + 720

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40
Q

Clock Problem: Together/Coincide

A

Theta = 0

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41
Q

Clock Problem: Perpendicular

A

90deg

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42
Q

Clock Problem: Align

A

180 deg

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43
Q

Rowing Boat Problem: d=v x t

V is

A

Still water

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44
Q

Rowing Boat Problem: d=v x t

w is

A

Current speed

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45
Q

Rowing Boat Problem: d=v x t

Upstream

A

v-w

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46
Q

Rowing Boat Problem: d=v x t

Downstream

A

v + w

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47
Q

Plane Problem: d=v x t

Tail wind

A

Same direction of wind & Plane

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48
Q

Plane Problem: d=v x t

Downwind

A

Opposite direction of wind and plane

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49
Q

Trains and tunnels Problem:

A

La + Lb= (Va +- Vb) t
+ for opposite
- for same direction

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50
Q

Diophantine Equation

A

2 equation 3 unknowns

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51
Q

TRIGO: Arc length formula

A

s=r@

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52
Q

TRIGO: Angular Velocity Formula

A

v=wr

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53
Q

Csc@

A

1/sin@

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54
Q

Sec@

A

1/cos@

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55
Q

Cot@

A

1/tan@

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56
Q

Pythagorean:

A

sin2@ +cos2@ = 1
tan2@ + 1 = sec2@
Cot2@ + 1 = csc2 @

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57
Q

Double angle: sin2@

A

2sin@cos@

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58
Q

Double angle: cos2@

A

Cos2@ - sin2@

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59
Q

Half Angle: Sin (1/2 @)

A

Sqr root of (1/2)(1-cos@)

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60
Q

Half Angle: Cos (1/2 @)

A

Sqr root of (1/2)(1+cos@)

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61
Q

Half Angle: tan (1/2 @)

A

Sqr root of (1-cos@)/(1+cos@)

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62
Q

Negative angles: sin(-@)

A

-sin@

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63
Q

Negative angles: cos(-@)

A

Cos@

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64
Q

Negative angles: tan(-@)

A

-tan@

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65
Q

Sum & Difference: cos (theta +- Beta)

A

Cos@ cosB -+ sin@ sinB

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66
Q

Sum & Difference: sin (theta +- Beta)

A

Sin@ cos B +- cos@ Sin B

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67
Q

Sine Law: 2 angles are known

A

(a/sinA) = (b/sinB) = (c/sinC)

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68
Q

Cosine Law:

A

a^2 = b^2 + c^2 -2bc cos A

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69
Q

Heron’s formula: for oblique triangles

Semi perimeter formula

A

s = (a+b+c)/2

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70
Q

Heron’s formula: for oblique triangles

Area of Triangle formula

A

A= sqr root of s(s-a)(s-b)(s-c)

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71
Q

For Cyclic Quadrilateral: Brahmagupta’s equation

Semi Perimeter Formula

A

s = (a+b+c+d)/2

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72
Q

For Cyclic Quadrilateral: Brahmagupta’s equation

Area Formula

A

A = sqr root of (s-a)(s-b)(s-c)(s-d)

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73
Q

Spherical Triangle

A

A= piR^E/180

Epsilon, E = A + B + C - 180

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74
Q

Napier’s Triangle for Right Spherical

SIN-TAAD

A

Sin(B)= tanc tan a

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75
Q

Napier’s Triangle for Right Spherical

SIN-COOP

A

Sin(a) = cosc cosA

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76
Q

Cosine Law for Oblique Spherical Triangle

A

cosa = cosbcosc + sinbsinc cos A

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77
Q

Sine law for oblique spherical Triangle

A

(sina/sinA) = (sinb/sinB) = (sinc/sinC)

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78
Q

Terrestrial Sphere: horizontal line

A

Equator

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79
Q

Terrestrial Sphere: parallel to equator

A

Latitude

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80
Q

Terrestrial Sphere: perpendicular to equator

A

Longitude

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81
Q

1 deg is equal to blank nm

A

60 nautical miles

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82
Q

1 deg is equal to blank mins

A

4 mins

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83
Q

1 nautical miles is equal to blank meters

A

1852 meters

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84
Q

1 knots is equal to

A

nautical miles/hr

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85
Q

Which quadrant is sin cos tan positive?

A

1st quadrant

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86
Q

Which quadrant is sin positive?

A

2nd quadrant

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87
Q

Which quadrant is cos positive?

A

4th quadrant

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88
Q

Which quadrant is tan positive?

A

3rd quadrant

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89
Q

Angle less then 90 deg

A

Acute

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90
Q

Angle more than 90 deg

A

Obtuse

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91
Q

Sum of 90 deg

A

Complement angle

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92
Q

Sum of 180 deg

A

Supplement angle

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93
Q

Sum of all angles of triangle are equal to

A

180 deg

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94
Q

Vectors has

A

Both magnitude and direction

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95
Q

Components of vectors

A

A= axi +ayj+azk

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96
Q

Magnitude of vectors

A

|A| = sqr root of ax2 + ay2 +az2

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97
Q

Unit vector

A

a = component/magnitude

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98
Q

Dot product is

A

Scalar

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99
Q

Cross product is

A

Vector

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100
Q

Dot product A • B =

A

|A| |B| cos @

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101
Q

Cross product |A x B| =

A

|A| |B| sin @

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102
Q

Area by three coplanar points

A

A plane = 1/2 det (V1 x V2)

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103
Q

Area by three coplanar points if 3D

A

1/2 x Abs (Vct A x Vct B)

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104
Q

Distance formula

A

d= sqr root of (X2-X1)2 + (Y2-Y1)2

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105
Q

Distance formula Caltech

A

Cmplx mode

Abs((X1+Y1i)-(X2+Y2i))

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106
Q

Slope, m

A

m= Y2-Y1/X2-X1 = tan@

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107
Q

Inclination Caltech

A

CMPLX

arg ((X1+Y1i) - (X2+Y2i))

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108
Q

Angle Between 2 Lines Caltech

A

CMPLX
arg (X1+Y1i/X2+Y2i)
Answer must be acute!

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109
Q

Point to a line Caltech

A

Comp
Ax+By+C/sqr root of A2 + B2
Calc X and Y = Xo,Yo (Point)

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110
Q

Distance Between 2 Parallel lines

A

d= C2-C1/sqr root of A2 + B2

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111
Q

Forms of a line:

Standard form

A

Ax+By+C=0

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112
Q

Forms of a line:

Slope-intercept form

A

y=mx+b

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113
Q

Forms of a line:

Point-slope form

A

y-yo=m(x-xo)

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114
Q

Forms of a line:

Two-point form

A

y-y1 = (y2-y1/x2-x1)(x-x1)

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115
Q

Forms of a line:

Intercept form

A

x/a + y/b = 1

116
Q

Conic Sections Formula

A

Ax2 + Bxy + Cy2 + Dx + Ey + F = 0

117
Q

Locus of points that are equidistant from a fixed point/center

A

Circle

118
Q

Circle General Form

A

Ax2 + Cy2 + Dx + Ey + F = 0

A and C should be equal

119
Q

Circle (h,k) formula of h

A

h= -D/2A

120
Q

Circle (h,k) formula of k

A

k= -E/2A

121
Q

Circle Standard Form

A

(x-h)2 + (y-k)2 = r2

122
Q

Formula of Circle’s Radius from general form

A

r= sqr root of (D2 + E2 -4AF)/4A2

123
Q

Locus of points that are equidistant from a fixed point (focus) and directrix (line)

A

Parabola

124
Q

Parabola Vertical Formula

A

4p(y-k)=(x-h)2

125
Q

Parabola Horizontal Formula

A

4p(x-h)=(y-k)2

126
Q

Latus rectum of Parabola

A

4f (f is focus to vertex)

127
Q

Locus of points such that the sum of its distance from 2 fixed points (foci) is constant

A

Ellipse

128
Q

Area of ellipse

A

A=pi(ab)

129
Q

Vertical Ellipse Formula

A

(y-k)2/a2 + (x-h)2/b2 = 1

130
Q

Horizontal Ellipse Formula

A

(x-h)2/a2 + (y-k)2/b2 = 1

131
Q

Ellipse eccentricity

A

e = c/a < 1

132
Q

Ellipse Latus Rectum

A

2b2/a

133
Q

Ellipse Flatness

A

f=a-b/a

134
Q

Ellipse apogee

A

a + c

135
Q

Ellipse directrix

A

a/e

136
Q

Locus points such that the difference of the distance between two fixed points (foci) is at constant 2a

A

Hyperbola

137
Q

Ellipse general form/length

A

b2 + c2 = a2

138
Q

Hyperbola General form

A

b2 = c2 -a2

139
Q

Axis in hyperbola that passes two foci

A

Transverse axis

140
Q

Axis in hyperbola that is perpendicular to transverse

A

Conjugate axis

141
Q

Axis in hyperbola formed by transverse and conjugate

A

Auxiliary rectangle

142
Q

Hyperbola Vertical Formula

A

(y-k)2/a2 - (x-h)2/b2 = 1

143
Q

Hyperbola Horizontal Formula

A

(x-h)2/a2 - (y-k)2/b2 = 1

144
Q

Hyperbola eccentricity

A

e= c/a

145
Q

Hyperbola Latus Rectum

A

2a^2/b

146
Q

Caltech for Parabola

A

Stat 3 (3 points, 1 point is mirrored)

147
Q

Caltech of Ellipse/Hyperbola

A

Stat 2 (2 points but square the other)

148
Q

Permutations: Circular w/ flip

A

p= (n-1)!/2

149
Q

Permutations: Circular w/ no flip

A

P=(n-1)!

150
Q

Permutation repetition

A

P=n!/(k1! x k2! x k3!…)

151
Q

Permutation Alteration (equal number per group)

A

P= g! (a!)^g (g is number of groups)

152
Q

Permutation Alteration (not equal number per group)

A

P=a!b!

153
Q

Permutation proximity

A

P= (n+1) x (n!p!)
p- together
n- not together

154
Q

Probability Formula

A

of Favorable outcomes/ total outcomes

155
Q

Law of total probability

A

P(A U B) = P(A) + P(B) - P(AŪB)

156
Q

If P(AŪB) = 0 what does it mean?

A

It means events are mutually exclusive

157
Q

2 types Discreet Probability

A 
Binomial Probability (n<20)
and
Poisson Probability (n>20)
158
Q

Binomial Probability Formula

A

P(x) = nCx (P)^x (1-P)^(n-x)

159
Q

Poisson Probability Formula

A

P(x) = (e^-np (np)^x)/x!

n= # of trials
p= success rate
x= interval
160
Q

Geometric Mean

A

Xg= nth root of X1X2X3…Xn

161
Q

Mean of two middle values

A

Median

162
Q

Value that appears frequently

A

Mode

163
Q

Perimeter

A

P=sn

164
Q

Interior angle

A

Theta= 180(n-2)/n

165
Q

Sum of interior angles

A

180(n-2)

166
Q

Diagonals

A

D=n(n-3)/2

167
Q

Area

A

(ns^2)/4tan(180/n)

168
Q

Apothem, a

A

s/2tan(180/n)

169
Q

Volume of Cylinder

A

V=pi r^2 h

170
Q

Lateral Surface area of cylinder

A

2 pi r h

171
Q

Volume of cone

A

1/3 pi r^2 h

172
Q

Slant height of cone

A

Sqr root of (h^2 + r^2)

173
Q

Lateral Surface area of cone

A

Pi r Sl

174
Q

Total surface area of pyramid

A

TSA=Area of B + LSA

175
Q

Lateral Surface area of Pyramid

A

1/2 (P)(SI)

176
Q

Volume of Pyramid

A

1/3 (Area of Base) (h)

177
Q

Volume of Sphere

A

4/3 pi r^3

178
Q

Surface area of Sphere

A

4pir^2

179
Q

For spherical segment of 1base

A

(Pih^2/3)(3r-h)

180
Q

If two solids have the same height and cross sectional area at every level then they have the same volume

A

Cavalieri’s principle

181
Q

Area of Polygon Inscribed in a Circle

A

(1/2)(nr^2 sin360/n)

182
Q

Area of Polygon circumscribed on a Cirle

A

nr^2 tan180/n

183
Q

Perimeter of a parallelogram

A

2a + 2b

184
Q

Area of a parallelogram

A

Bh=absin@=1/2 (d1d2)(sin @)

185
Q

2 diagonals of a parallelogram

A 
p^2 = a^2 + b^2 -2abcos@
q^2 = a^2 + b^2 -2abcos (180-@)
186
Q

Rhombus Perimeter

A

4b

187
Q

Rhombus area

A

1/2 (d1d2)

188
Q

Trapezoid Area

A

h(b1 + b2)/2

189
Q

Area of a circle

A

Pi r ^2

190
Q

Circumference of a circle

A

2 pi r

191
Q

Sector area of a circle

A

1/2 (theta) (r^2)

Should be in rad

192
Q

Segment (zone) area of a circle

A

1/2 r^2 (@-sin@)

193
Q

Area of a triangle

A

1/2 bh

194
Q

Incenter (circle on a triangle)

A

r=area of traingle/semi perimeter

195
Q

Circumcenter (triangle on a circle)

A

r= abc/4(Area of a triangle)

196
Q

Type of polyhedra that has two identical faces that are parallel to each other

A

Prisms

197
Q

Rectangular parallelipiped, LSA

A

2lh + 2wh

198
Q

Rectangular parallelipiped, TSA

A

2lh + 2wh +2lw

199
Q

Rectangular parallelipiped, Volume

A

Lwh

200
Q

Area of a quadrilateral

A

A= sqr root of (s-a)(s-b)(s-c)(s-d)-abcdcos^2 @

201
Q

Lune Surface Area

A

(Pi r^2 theta)/90

202
Q

Wedge Volume

A

Pi r ^3 theta / 270

203
Q

Spherical sector

A

V=(pi/6)(h)(3a^2 +3b^2 +h)

204
Q

Spheroids Prolate (rotate on major axis)

A

4/3 pi a b^2

205
Q

Spheroids Oblate (rotate on minor axis)

A

4/3 pi a^2 b

206
Q

Frustum Volume

A

1/3 h (B1 + B2 + sqr root of B1B2)

207
Q

Truncated Cylinder Formula

A

Pi r^2 [(h1 + h2)/2]

208
Q

Truncated Prism Formula

A

Area of base x [(h1+h2 +…+hn)/n]

209
Q

Platonic Solids: Tetrahedron

A

(Sqr root of 2 /12) (a^3)

210
Q

Platonic Solids: Hexahedron

A

a^3

211
Q

Platonic Solids: octahedron

A

(Sqr root of 2 / 3) (a^3)

212
Q

Platonic Solids: Dodecahedron

A

7.66a^3

213
Q

Platonic Solids: Hexahedron (20)

A

2.18a^3

214
Q

Paraboloid Volume

A

Pi/8 d^2 h

215
Q

Paraboloid Area

A

2pi/3 d h

216
Q

Torus Volume

A

2pi^2 R r^2

217
Q

Torus Area

A

4pi^2 R r

218
Q

Pappus’ No. 1

A

SA= (2 pi R) (C)

219
Q

Pappus’ No. 2

A

V= 2piR (area)

220
Q

Hydrostatic Pressure and Force Formula

A

P= rho g h / gc

221
Q

Centroid Technique

A

F= gamma hc A

222
Q

Derivative of a^u

A

a^u (ln a)

223
Q

Derivative of log(a) u

A

1/ulna

224
Q

Largest rectangle inscribed in a triangle

A

x=b/2 y=h/2

225
Q

Sector of area but minimum perimeter

A

A sec= (1/2) theta r^2 (in rad)
s=r theta =2r
Theta =2 rad
r= sqr root of A

226
Q

Rectangle to be fenced at 3 sides with given area at min. Perimeter

A

x=2y
P=4y
Area=2y^2

227
Q

Largest square inscribed in a circle

A

a=r sqr root of 2

228
Q

Largest rectangle inscribed in a semi circle

A

a=r sqr root of 2

229
Q

Largest rectangle inscribed in a triangle w/ one side lying on the base of the triangle

A

x=b/2
y=h/2
Area of rectangle = 1/2 area of triangle

230
Q

Triangle with 2 equal sides

A

Isosceles traingle

231
Q

Max light on norman window

A

x=2y
h=x
P=x(2+pi/2)

232
Q

Longest segment that can fit on a perpendicular intersection

A

L= (a^2/3 + b^2/3)^3/2

233
Q

Sweet spot

A

x= sqr root of y1y2

234
Q

Location of a stake on the ground to minimize wire length

A

x=dh1/h1+h2

L1 + L2 = (sqr root of h1^2 + x^2) + (sqr root of h2^2 + (d-x)^2)

235
Q

Maximum Cylinder Inscribed in a Cone

A

h = (1/3)H

r=2/3 R

236
Q

Cylinder on a Sphere

A

V of sphere = (4/ cube root of 27) (pi r^3)

V of cylinder = (4/ sqr root of 27) (pi r^3)

237
Q

Integral of sin x

A

-cos x

238
Q

Integral of cos x

A

Sin x

239
Q

Integral of tan x

A

ln(secx)

240
Q

Integral of cot x

A

ln(sinx)+c

241
Q

Integral of sec x

A

ln|secx + tanx| + c

242
Q

Integral of csc x

A

ln|cscx - cotx| + c

243
Q

Integral of sec^2 x

A

tan x

244
Q

Integral of csc^2 x

A

-cot x

245
Q

Integral of tan x sec x

A

Sec x

246
Q

Integral of cot x csc x

A

-csc x

247
Q

What kind of polar graph is

r=a+-b sin theta or r= a +-b cos theta?

A

Limacons

248
Q

What kind of polar graph is

r=a sin (n@) or r= a cos (n@) ?

A

Roses

249
Q

What kind of polar graph is

r^2 =a^2 sin theta or r^2 = a^2 cos theta?

A

Lemniscate

250
Q

Roses with even petals

A

Petals =2n

251
Q

Roses with odd petals

A

petals = n

252
Q

Guess what type of ODe (Ordinary Differential Equation):

dy/dx = f(x)g(y)

A

Separable ODe

253
Q

Guess what type of ODe (Ordinary Differential Equation):

dy/dx + P(x)y=Q(x)

A

Linear ODe

254
Q

Guess what type of ODe (Ordinary Differential Equation):

dy/dx = f(y/x)

A

Homogenous ODe

255
Q

Guess what type of ODe (Ordinary Differential Equation):

dy/dx + P(x)y =Q(x)y^n

A

Bernoulli ODe

256
Q

Guess what type of ODe (Ordinary Differential Equation):

M(dx) +N(dy) = 0

A

Exact Equation

257
Q 
Application DE (formula and caltech):
For Nuclear Decay
A 
Formula:
m=mo e*-kt
ln|m/mo|=-kt
k=ln2/t1/2
Caltech stat 5
x- 0 and half life (time)
y- 100 and 50 (mass remaining)
258
Q 
Application DE (formula and caltech):
For Mixing with same or constant flowrate q
A

(C-Ci/Co-Ci)=e^-(q/v)(t)

259
Q 
Application DE (formula and caltech):
For Mixing with qo not equal to qi
A

V=(qi-qo)t+Vo

(C-Ci/Co-Ci)=(V/Vo)^-qi/qi-qo

260
Q 
Application DE (formula and caltech):
For Population Growth
A

P=Poe^kt
k=ln2/t2
dp/dt= mortality(Kp) - morbidity (death) + migration - immigration

Caltech stat 5
x= 0 and t
Y= 100 and population @ t

261
Q 
Application DE (formula and caltech):
For Newton’s law of cooling/heating
A

(T-Ta/To-Ta) = e^kt

Ta= ambient T
Caltech Mode Stat 5 (x time, y temp)
For cooling (T-Ta)
For heating (Ta-T)
262
Q

Econ: simple interest formula

A

F=P(1+in)

263
Q

Econ: Compound interest

A

F=P(1+r/m)^mt

264
Q

Econ: i is equal to

A

r/m

265
Q

Econ: r stands for

A

Nominal interest rate

266
Q

Econ: ieff for compounded

A

ieff= [(1+r/m)^m] - 1

267
Q

Econ: ieff for continuous

A

ieff=e^r - 1

268
Q

Econ: continuous interest

A

F=Pe^rn

269
Q

Econ: Interest formula

A

I=Pin

270
Q

Depreciation: Caltech mode

Straight line method

A

Stat 2

271
Q

Depreciation: Caltech mode

Declining Balance Method

A

Stat 6

272
Q

Depreciation: Caltech mode

Double Declining Balance

A

Stat 6

273
Q

Depreciation: Caltech mode

Sum of Years digit

A

Stat 3

274
Q

Depreciation: Caltech mode

Sinking Fund Method

A

Stat 6

275
Q

Break even in econ means

A

No loss or gain (balik capital)

276
Q

Econ: book value formula for SLM, DBM, DDBM and SOYD

A

BVn=nÿ

277
Q

Econ: Depreciation @ nth year formula for SLM, DBM, DDBM and SOYD

A

dn=(n-1)ÿ-nÿ

278
Q

Econ: Total Depreciation formula for SLM, DBM, DDBM and SOYD

A

Dtn=FC-nÿ

FC- first cost

279
Q

Econ: book value formula for SFM

A

BVn=(FC-SV)x(1-nÿ)/(1-Lÿ)

L- economic life

280
Q

Econ: depreciation @ nth year formula for SFM

A

dn=(FC-SV)x(0ÿ-1ÿ)/(1-Lÿ)

281
Q

Econ: total depreciation formula for SFM

A

Dtn=FC-BVn

282
Q

Perpetuity Formula

A

P’=A/i

283
Q

Ordinary Annuity Present Formula

A

P= A( (1+i)^-1/i(1+i)^n )

284
Q

Ordinary Annuity Future Formula

A

F= A ( (1+i)^n-1/i )

285
Q

Deferred Annuity Formula

A

P= A ( (1+i)^n -1/i (1+i)^n) (1+i)^-(k-1)

Engineering Mathematics (1 decks)

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