Formulas for Work, Volume, and Area Flashcards
1
Q
What method is this and for what axis?
v= pi * the integral from x1-x2 of [f(x)]^2dx
A
Disc method, x-axis
2
Q
What method is this and for what axis?
v= pi * the integral from y1-y2 of [f(y)]^2dy
A
Disc method, y-axis
3
Q
How can you tell within a given problem if it will be disc method?
A
When drawing the graph and doing the rotation around the necessary axis they are touching.
3
Q
How can you tell when to use the Disc method when given a problem?
A
When rotating around the given axis the two graphs are touching and have no hollow space.
3
Q
A
3
Q
A
4
Q
A
4
Q
A
4
Q
A
5
Q
A
5
Q
A
5
Q
A
5
Q
A
6
Q
A
6
Q
A
6
Q
A
7
Q
A
7
Q
A
8
Q
A
8
Q
A
8
Q
A
9
Q
A
9
Q
A
9
Q
A
10
Q
A