Math & Stats Flashcards

1
Q

Slope of perpindicular line

A

-1/m

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2
Q

Unit Vector

A

Vector divided by its own length (i+j+k/sqrt (i^2+j^2+^2)

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3
Q

Resultant vector

A

sum of 2 vectors

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4
Q

Cross Product

A

Perpindular Vector

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5
Q

Magnitude of Vector

A

sqt (i^2+j^2+^2)

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6
Q

Slope of Y when it crosses X axis

A

set first derivative = to 0 and solve for x

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7
Q

chain rule f(g(x))

A

f’(g(x))f(g’(x)) figi

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8
Q

product rule fxgx

A

f’xgx+fxg’x

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9
Q

Critical points

A

1st deriv. = critical points
2nd deriv = max/min (max when

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10
Q

Moment of vectors

A

cross product of the distance between r &f

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11
Q

Component of vector in a direction

A

1st find unit vector of the direction, then take dot product with og

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12
Q

Projection of vector A onto vector B

A

dot of A w/ unit of B

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13
Q

Area between 2 curves

A

set equations = to aech other & solve for x, take integral

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14
Q

When do you use L’hopital rule

A

when limit is 0/0

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15
Q

L’hopital rule

A

differentiate the numerator and differentiate the denominator and then take the limit.

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16
Q

Critical Points

A

Take first derivative -> find roots = critical pionts
Take 2nd derivative and plug in roots
If less than zero, local maxima.
Plug roots into og formula for global min max

17
Q

Probability 7 ppl have different bdays

A

P(7)= 365/365 x 364/365…x359/365

18
Q

Picking odd or greater than 80 ball

A

P(a+b)

19
Q

Probability when given only mean and SD

A

find z value

20
Q

Combo of coin toss

A

2^x (x = # of coins) = outcomes
Find # of combos
C/outcomes

21
Q

Random Error

A

SD re

22
Q

when are two vectors parallel

A

when theta = 0

23
Q

when are two vectors perpindicular

A

when theta = 90

24
Q

when tangent slope is parallel to x axis

A

dy/dx = 0

25
Q

point of inflection occurs when

A

double derivative = 0

26
Q
A