Logarithms and Logarithmic Differentiation
Integration
Applications of Differential Equations
Areas and Volumes
Extra Questions
100
du/u
What is the derivative of lnu?
100
What is the average value of a function?
100
The graphical representation of a differential equation.
What is a slope field?
100
This equation is used to find the area between 2 curves.
What is 
100
If f is continuous on a closed interval [a,b], then f has both a minimum and a maximum on the interval.
What is the Extreme Value Theorem?
200
Expand ln(a•b)
What is lna+lnb?
200
This formula represents when the rate of change is directly proportional to the amount of present.
What is dy/dx=ky?
200
The equation that represents an exponential growth/decay model.
What is y=Ce^(kt)?
200
This is used to find the volume of a shape created by spinning around a fixed axis (no hollow region).
What is
200
If f(x)≤g(x)≤h(x), and limx->c f(x)=L=limx->c h(x) then limx->c g(x)=L.
What is the Squeeze Theorem?
300
1) Take the ln of both sides 2) Use log properties to simplify 3) Take the derivative 4) Solve for y' and substitute for y
What are the steps in logarithmic differentiation?
300
If f is an _____ ______, then ∫-aa f(x)=0
What is an odd function?
300
The result when you integrate the rate of change of position.
What is change of position (displacement)?
300
This is used to find the volume of a shape created by spinning a given area around a fixed axis (hollow region exists).
What is
300
What is the Second Fundamental Theorem of Calculus.
400
The domain of the natural logarithmic function.
What are all positive real numbers?
400
When the definite integral has a square root with an equation inside, this shape should be a possibility to consider.
What is a semi-circle?
400
It states that the temperature of an abject is proportional to the difference in the temperature of the object and the temperature of its environment.
What is Newton's Law of Cooling?
400
The formula to find the cross section of a semi-cricle?
What is A = (pi*r^2) / 2?
400
This type of problem requires separating variables, integrating, and solving for C.
What is a differential equation?
500
The definition of natural logarithmic function.
What is
?
500
The integral expression for
limn->∞Σnk=1((2k/n)3+3)(2/n)
What is ∫02(x3+3)dx?
500
The equation that results from this differential equation with the given question.
dy/dx = 1/(3y^2)
y(3) = 2
What is y = (x+5)^(1/3)?
500
Related rates that have to do with right triangles can use this technique or similar triangles.
What is the pythagorean theorem?
500
The derivative of b^u.
What is (b^u)(lnb)(u')?