Limits
Derivatives
Area & Volume
Integrals
100

Use words to define a limit

Answers will vary

100

Define a function that give the slope of a curve.

What is a derivative?

100

the formula for the area of a circle.

what is pi r^2?

100
Integrate: ∫xe^x dx
What is xe^x - e^x + C
200

State the definiton of a global limit.

What is limits involving infinity?

200

Define a line that follows the slope of f(x) at a specific point for all cañíes for which it exists.

What is a tangent line?

200

 A known (blank) of A(x) can be used to find a volume of a solid. Fill in the blank..

What is a cross section?

200

Integrate: pi ∫ (sin x+2)dx 0.

What is 2pi+2?

300

Answer the following Limit Question: Lim x^2-3x-10/x^2-25 x->2.

What is L=4/7?

300

Find the derivative f 3x^2+4x+2.

what is 6x + 4?

300

This formula is used to find areas with more than one curve.

What is ∫_a^b(f(x)-g(x) )dx?

300

State the Definite Integral Rules.

What is order of integration, zero, constant multiple, sum and difference and additivity.

400

Answer the following Limit Equation as c goes to infinity:  7x^4+2x^7/4x^7.

What is ½?

400

A function fails to be differentiable if it has a....

What is a discontinuity, corner, cusp or a vertical tangent?

400

All cross sections to find a volume will be in circle form, the formula for the cross section is A(x)= A= pi r^2. Name this method..

What is the Disk Method?

400
Integrate: ∫x( √x+3) dx
What is (2/3)x(x+3)^3/2-(4/15)(x+3)^5/2+C
500

Name the 4 types of Discountinuties.

What are Hole, Jump, Infinity, Oscillating?

500

State two of the derivative rules

Answers will vary

500

Find the area enclosed by y=x^2 and the y-axis between [0,3] is revolved around the y-axis.

What is 9/2 pi?

500

Integrate:  ∫(-1)^(3) ((2x+1)^2)dx.

What is 57 1/3?