Math & Stats Flashcards
Slope of perpindicular line
-1/m
Unit Vector
Vector divided by its own length (i+j+k/sqrt (i^2+j^2+^2)
Resultant vector
sum of 2 vectors
Cross Product
Perpindular Vector
Magnitude of Vector
sqt (i^2+j^2+^2)
Slope of Y when it crosses X axis
set first derivative = to 0 and solve for x
chain rule f(g(x))
f’(g(x))f(g’(x)) figi
product rule fxgx
f’xgx+fxg’x
Critical points
1st deriv. = critical points
2nd deriv = max/min (max when
Moment of vectors
cross product of the distance between r &f
Component of vector in a direction
1st find unit vector of the direction, then take dot product with og
Projection of vector A onto vector B
dot of A w/ unit of B
Area between 2 curves
set equations = to aech other & solve for x, take integral
When do you use L’hopital rule
when limit is 0/0
L’hopital rule
differentiate the numerator and differentiate the denominator and then take the limit.
Critical Points
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
Probability 7 ppl have different bdays
P(7)= 365/365 x 364/365…x359/365
Picking odd or greater than 80 ball
P(a+b)
Probability when given only mean and SD
find z value
Combo of coin toss
2^x (x = # of coins) = outcomes
Find # of combos
C/outcomes
Random Error
SD re
when are two vectors parallel
when theta = 0
when are two vectors perpindicular
when theta = 90
when tangent slope is parallel to x axis
dy/dx = 0
point of inflection occurs when
double derivative = 0
