indefinite integrals
definite integrals
price elasticity
graphing
derivatives
100
What is the indefinite integral of
7x^5?
7/6x^6+C
100
What is the definite integral of 2x on the interval
1<=x<=2?
3
100
If the price elasticity of demand is less than 1, what should the producers do to their price?
raise it
100
What are the x-intercepts of this function?
f(x)=3x-x^2
x=0 and x=3
100
If a slope is increasing from 0 to 1 and decreasing from 1 to 2, the point at 1 is a relative _________.
maximum
200
What is the indefinite integral of
sqrtx?
2/3x^(3/2)+C
200
What is the definite integral of 4+x on the interval
2<=x<=4?
14
200
Given the function below, find the price elasticity of demand function, E(p).
D(p)=x^2
(-p*2x)/x^2
200
At what x-values do these functions intersect?
f(x)=4x-2
g(x)=5x-x^2
x=2 and x=-1
200
Which 2 derivative rules do you need to find the derivative of this function?
f(x)=(lnx)^3/x
quotient rule and chain rule
300
What is the indefinite integral of
-e^(2x)?
-1/2e^(2x)+C
300
What is the definite integral of
2-x
on the interval
1<=x<=2?
1/2
300
A price elasticity of demand function is given below. At which price will the revenue be maximized?
E(p)=(5x)/(3x+12)
$6
300
Set up the following problem (you don't have to solve it-- but if you do correctly you get double points!)
Find the area enclosed by these functions.
f(x)=4x-2
g(x)=5x-x^2
(answer= 4.5)
300
Find the derivative of
(lnx)^3
3(lnx)^2*1/x