Calc Unit 8 Equations Flashcards
1
Q
Disk method equation
A
Pi a-int-b (f(x)^2)dx
2
Q
Washer equation
A
Pi a-int-b {[f(x)]^2 - [g(x)]^2} dx
3
Q
Area between two curves
A
A = a-int-b [f(x) - g(x)] dx
4
Q
Average value function
A
(1/b-a) a-int-b [f(x)] dx
5
Q
Int of velocity
A
Displacement or net change
6
Q
Int of |velocity|
A
Total distance
7
Q
|velocity|
A
Speed
8
Q
Derivative of position
A
Velocity
9
Q
Derivative of velocity
A
Acceleration
10
Q
Square cross sections
A
V = a-int-b [s^2] dx s = [f(x)-g(x)] Where f(x) > g(x)
11
Q
Rectangular cross section
A
V = a-int-b (width * height) dx Width = f(x) - g(x) Height = given in the problem
12
Q
Equalateral triangle cross section
A
V = a-int-b [A(x)] dx A = (3sq./4)s^2 s = f(x) - g(x)
13
Q
Isosceles right triangle
A
V = a-int-b [A(x)] dx A = [f(x) - g(x)]/2
14
Q
Semicircle cross section
A
V = a-int-b [A(x)] dx A = 1/2 pi r^2
15
Q
Quarter circle cross section
A
V = a-int-b [A(x)] dx A = 1/4 pi r^2
