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 ∫-af(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')?

M
e
n
u