Calculus...

Volume and Area

100

What is the area bounded by the x axis and x from 0 to 2?

2

200

Find the area in between the curves y=x and y=x²

1/6

300

What is the equation of a washer?

The integral of R(x) - r(x)

400

Find the volume in between the curves y=x³+3 and the x axis and x=2

60.2857pi

500

Describe 3 different types of cross sectional shapes

Circle, Square, Triangle

Limits

100

What 3 rules make a limit continuous?

f(x) is defined. The limit from each side is the same. The limit of f(x) equals f(x).

200

What are the four types of discontinuity?

Jump, Hole, Infinite and O

300

What is the limit of (5x³ + 2x² - 4)/(4x³ -3x² +2)?

5/4

400

What are three ways to calculate a limit?

Graphically, Algebraically and Numerically.

500

Find the limit of x approaches -3. (Sqareroot(2x+22) -4)/(x+3)

1/4

Derivatives

100

Find the derivative of 5

0

200

Find the derivative of 4z⁷ - 3z^-7 + 9z.

28z⁶ + 21z^-8 + 9

300

Find the derivative of tanx + sec²x

sec²x(2tanx+1)

400

Find the derivative of 6x^-3/2 + (1/8)x^-4- (1/3)x^-10.

-9x^5/2 - (1/2)x^-5 + (10/3)x^-11

500

Find the derivative of cos(3x)⁵.

-15cos(3x)⁴sin(3x)

Integrals

100

Find the definite integral form 0 to 2 of x² + 3 dx.

26/3

200

What is the integral of 3x⁵ - 12x - 1?

(1/2)x⁶ - 6x² -x + C

300

What is the integral of velocity?

Position

400

Find the integral of (x^.5)/(2x^.5)

(2/3)x^3/2+x^1/2

500

Find the definite integral of 5x²+2+7 from 0 to 2

94/3

Extra

100

Order the acceleration, position and velocity in the correct order in terms of derivative and integral.

position, velocity, acceleration or acceleration, velocity, position.

200

Find the derivative of -tanx

1-sec²x

300

What is sin(5pi/4)?

-(sqaure root of 2)/2

400

What is an indefinite integral of a function called?

Anti Derivative

500

Name the Pathegorian Identity.

sin²x+cos²x=1