Probability
What is the sample space of tossing a coin?
S={H,T}
What is the difference between Linear and Seperable?
Find f(4, -2) when f(x,y)= (x-3y)/(x2+y2)
1/2
Derivative of y=5x3+4x2-8x+3
15x2+8x-8
Write the Probability of A and not B
(AnBC)
Solve dy/dx = 2x/y.
y=± Square root 2x2+C
Find f(3,-1,2) when f(x,y,z)= x2-2y3+6z2
35
Derivative of [x2sinx]
2x(sinx)+x2(cosx)
Sure! Here's a conditional probability problem for you
In a deck of 52 playing cards, there are 13 cards of each suit (hearts, diamonds, clubs, spades). Suppose you randomly draw two cards from the deck without replacement.
What is the probability that the second card is a heart, given that the first card drawn is a heart?
4/17
Sove dx/dy+3y=6x
y=2x−2/3+Ce-3x
Find fx (x,y)
f(x,y)= 6x3y-2-4x-1y2
18x2y-2+4x-2y2
Find the Integral from 2 to 1 of 6x2 dx
4
A factory produces light bulbs, and 95% of them pass quality control while 5% are defective. A quality control inspector randomly selects a bulb from a batch, and if the bulb is defective, the inspector replaces it. If the bulb is not defective, the inspector keeps it.
What is the probability that the inspector replaced the bulb, given that the bulb is defective?
1
Solve x dy/dx +2y =4/x
y=4/x +16/x2
What is a level curve of a function f(x,y)?
A level curve is the set of all points (x,y) in the plane where the function f(x,y) takes the same constant value. f(x,y)=c
Find the Integral of 4xex2dx
2ex2+c
What does mutually exclusive mean?
No intersection
What is eS4/x dx
x4
For the function f(x,y)=x2+y2 ,what shape will the level curves look like?
The level curves for the function are concentric circles centered at the origin.
d/dx (5x+6)/(3x-7)
(3x-7)(5)-(5x+6)(3)/(3x-7)2