Interactive, free online graphing calculator from GeoGebra: graph functions, plot data, drag sliders, and much more!

Free online 3D grapher from GeoGebra: graph 3D functions, plot surfaces, construct solids and much more!

Interactive, free online calculator from GeoGebra: graph functions, plot data, drag sliders, create triangles, circles and much more!

In calculus, we often end up studying the solid of revolution formed by rotating the graph of a function about the X-AXIS. In GeoGebra's 3D Graphing Calculator, this is actually quite easy to do. The silent screencast below illustrates how easy this actually is.

Adjust the Initial Position and the shape of the Velocity vs. Time graph by sliding the points up or down. Watch how the graphs of Position vs. Time and Acceleration vs. Time change as they adjust to match the motion shown on the Velocity vs. Time graph.

Graphing Calculator. Visualizing equations and functions with interactive graphs and plots

Creatung a solid through rotation of a graph round the x- or y-axis. Exercise Visualize the solid of revolution which is determined by the rotation of the sine function between 0 and 2π.

This applet is for use when finding volumes of revolution using the disk method when rotating an area between a function f(x) and either the x- or y-axis around that axis. As usual, enter in the function of your choice.

Use the coordiante plane to graph and reflect your shape

Example: Suppose the base of a solid object is the circle ; cross sections of the object perpendicular to the x-axis are squares with one side in the xy-plane. Define the top curve as (found by solving for ) and the bottom curve as (the bottom of the region is bounded by the x …