How it works ?
This applet dynamically illustrates the formation of a solid of revolution by rotating a region bounded by
y= f(x) = upper function
y= g(x) = lower function
x = a = lower limit of integration
x = b = upper limit of integration
about ANY HORIZONTAL LINE (ranging from x = -20 to x = 20 or ANY VERTICAL LINE (ranging from y = -20 to y = 20
Simply input your upper function f , your lower function g, and your lower and upper limits of integration. Choose your options, and watch what happens.
TO EXPLORE IN AUGMENTED REALITY:
- Note this string of characters = the last 8 digits of the URL for this resource.
- This graph defaults to rotating about a HORIZONTAL AXIS (y = some number) first.
- To rotate the area between 2 function graphs about a VERTICAL AXIS (x = some number), simply find the variable named m = false. Once you do so, change this line to m = true.
- To switch back to rotating about a HORIZONTAL AXIS, simply fine the line l = false. Change this line to l = true.
4) Once the resource loads, scroll upwards in the Algebra view (bottom) within this app. 5) The greater (higher) function is f (top most bar). You can modify this. The lesser (lower) function is h. You can modify this.