Hidden gem: Time dependent vector fields

You have probably seen the “Add a Vector Field” option under the Graph menu in CalcPlot3D which allows you to create some nifty three-dimensional vector fields like the one below.

vectorfield

But did you know that you can add a parameter (t) to the vector field to create and animate time dependent vector fields by controlling the slide bar for t in the Animate Parameters pop-up window? Bonus: Click on the 2D graph and view the flow lines!

Below is a screenshot.  Go to the CalcPlot3D applet and try for yourself!

screenshot-animation

 

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