Precalc
Simplify (x-3y5)/(x2y-1)
y6/x5
The derivative of cos(x)
-sin(x)
What does it mean for a function to be one to one
The function is one to one if it never takes on the same value twice. Or it does not pass the horizontal line test.
Find the mean of 2,4,6
4
State the pythagorean theorem
a2+b2=c2
solve x2-x+6 = 0
x = -3, 2
limx->2(x2+3)
7
determine limx->2(x3-2x-4)/(x-2)
using L'Hospital's, 10
What is the probability of rolling an even number on a fair die
3/6 or 1/2
What does the intermediate value theorem guarantee
A continuous function on an interval [a,b] will take on all values between [a,b].
evaluate log2(16)
4
limx->1(x2-1)/(x-1)
2
What form of integration would you use to solve the integral x2ex
Integration by parts
If events A and B are independent, what is P(A∩B)
P(A)*P(B)
What does the mean value theorem state
For a continuous and differentiable function on the interval [a,b], there exists some value c, where f'(c) = the average rate of change over the interval
Find the domain of: sqrt(2x−1)+ln(x−3)
x > 3
Integrate ex + 3x3-4x+6
ex +3/4(x4)-2x2+6x
Determine if this series 1/n2 converges or diverges
The series converges
np
State the fundamental theorem of arithmetic
Every integer greater than 1 can be expressed uniquely as a product of prime numbers
If sin(x) = 3/5, cos(x) is equal to what?
4/5
find the value of x such that f'(x) = 0, given f(x) = x2-4x
x = 2
When you take the integral from a to be of sqrt(1+[f'(x)]2)dx what are you finding
The arc length
In hypothesis testing
Significance level = 0.05, p = .0036
.0036 < .05
What conclusion can we make
We would reject the null hypothesis since p < the significance level.
His first law states that an object at rest will stay at rest and an object in motion will stay in motion unless acted upon by an outside force.
Newton