Binomail Expansion + Vectors Flashcards

1
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2
Q

“In any order”

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3
Q

“In any order “

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4
Q
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5
Q

What is the formula for the number of combinations- without repeats?

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6
Q

What is the formula for the number of combinations- without repeats?

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7
Q

What is the formula for probability of getting r out of n outcomes with a probability P?

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8
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9
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10
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11
Q

What is 0!

A

1

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12
Q

Draw the next expansion of (a+b) from pascalls Triangle

A

One power is ascending from 0
The other power is descending from the original power

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13
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14
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15
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16
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17
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18
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19
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20
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21
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22
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23
Q

Why is only using the first 4 ascending powers of x a good estimate?

A

Because x <1, the x becomes increasingly small with the increasing power and so becomes more and more negligible

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24
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25
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26
Q

How is a vector represented ?

A
27
Q

What is magnitude direction form aka polar form?

A
28
Q

How can a vector be represented in term of i and j (vector form) ?

A
29
Q

Convert the vector form (4,2) into polar form

A
30
Q

What is the modulus |a| ?

A

The magnitude of a vector

31
Q

Convert the vector into component form

A
32
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33
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34
Q

Why does it mean when two vectors have the same magnitude and direction?

A

They are parallel and are the same vectors

35
Q

What does it mean when vectors have the same magnitude but opposite direction?

A
36
Q

What does the vector 0 respresnt

A

No movement

37
Q

What is a scalar/normal number ?

A

Changes the magnitude
Negative scalars can change direction aswell

38
Q

How can vectors be shown to be parallel?

A

Writing them as a multiple of each other

39
Q
A
40
Q

What is the magnitude of a (|a|)?
a= (x,y)

A
41
Q

What is a unit vector?

A

Magnitude of unit vector = 1

42
Q

What is the unit vector (a^) of (3,5)?

A
43
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44
Q

What is a position vector?

A

The translation from the origin

45
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46
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47
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48
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49
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50
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51
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52
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53
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54
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55
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56
Q

What is the scalar of the vector (4,3)?

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57
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58
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59
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60
Q

Vector question

A