How it works ?
This applet dynamically illustrates how rotating an arc length of a piece of the graph of a function f , from x = a to x = b, about an axis, generates a surface of revolution. For simplicity, the axis of revolution here is the x-axis.
You can alter the values of
a= lower limit of integration
b = upper limit of integration
n = number of equal intervals into which the interval [a,b] is divided.
How does increasing the value of n change the appearance of the surface of revolution?
To explore this in Augmented Reality, see directions below this interactive figure.
TO EXPLORE IN AUGMENTED REALITY:
1) Open up GeoGebra 3D app on your device.
2) Select the MENU (3 horizontal bars upper left).
3) Select OPEN. Under “Search”, type dbska9aq
4) Select the 1 option that appears.
5) You can alter function f, lower limit of integration a, upper limit of integration b, and n = number of intervals where each dx=(b-a)/n