Not Given Flashcards

1
Q

Equation of a Straight Line

A

y-y₁ = m(x-x₁)

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2
Q

Line Length

A

√(x₂-x₁)²+(y₂-y₁)²

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3
Q

Midpoint from 2 Coords

A

(x₁+x₂)/2, (y₁+y₂)/2

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4
Q

Circle Equation

A

(x-a)²+(y-b)² = r²

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5
Q

Magnitude of a vector

A

|a| = √x²+y²

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6
Q

cot^2 x =

A

cosec^2 x -1

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7
Q

tan^2 x =

A

sec^2 x - 1

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8
Q

cos2θ =

A

cos²θ-sin²θ
2cos²θ-1
1-2sin²θ

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9
Q

sin2θ =

A

2sinθcosθ

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10
Q

1 + tan2θ =

A

sec2θ

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11
Q

cot2θ + 1 =

A

cosec2θ

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12
Q

Arc length (radians)

A

length=rθ

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13
Q

Area of a circle sector (radians)

A

a=1/2 x r²θ

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14
Q

∫ eˣ dx =

A

eˣ + c

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15
Q

∫ 1/x dx =

A

ln(x) + c

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16
Q

P(B|A) =

A

P(B n A) / P(A)

17
Q

P(A n B) =

A

P(A) x P(B|A)

18
Q

y=f(x) + a

A

translation (0, a)

19
Q

y=f(x) - a

A

translation (0, -a)

20
Q

y=f(x - a)

A

translation (a, 0)

21
Q

y=f(x + a)

A

translation (-a, 0)

22
Q

y= -f(x)

A

reflection in x axis

23
Q

y=f(-x)

A

reflection in y axis

24
Q

y= af(x)

A

stretch sf a - y axis

25
Q

y=f(ax)

A

stretch sf 1/a - x axis

26
Q

(Independant) P(B|A) =

A

P(B)

27
Q

(Independant) P(A|B) =

A

P(A)

28
Q

(Independant) P(A n B) =

A

P(A) x P(B)

29
Q

(Non-Mutual) P(A u B)

A

P(A) + P(B) - P(A n B)

30
Q

(Mutual) P(A u B)

A

P(A) + P(B)

31
Q

Population

A

Whole set of items that we’re interested in

32
Q

Census

A

A collection of every data point in the population

33
Q

Sample

A

A subset of the population intended to represent it

34
Q

Parameter

A

A number that describes the entire population

35
Q

Statistic

A

A number taken from a single sample

36
Q

Sampling Frame

A

A list of people/items forming a population from which a sample has been taken