Unit 5 Calc AB!!

Differential Eqns.

100

This is the solution of a differential equation when no initial condition is given.

General Solution

200

This is the first step of solving a differential equation.

Seperation of variables

300

When solving differential eqns, you should integrate each side with respect to each of their_______

variables

Area

100

Find the area between the curve y=x and x=4 in the first quadrant.

8

200

Find the area under the curve y=x² from x=2 to x=3.

19

___

3

300

Find the area under the curve y=e^2x from x=1 to x=4.

e⁸ - e²

_____

2

Disk/Washer

100

Disk/washers are solids of revolution with _____ cross sections.

circular

200

Slices made must go through _____.

axis of rotation (y-axis: dy, x-axis: dx)

300

What is consistent throughout all methods of finding volume?

Radius

Shell

100

Shells are ____  centered around the axis of rotation.

cylinders

200

When using the shell method, the ____ variable of integration from disk/washer is used. (dy or dx)

opposite

300

What is the basic equation for the shell method?

(on the board)