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Students get to adjust the second segment of a piecewise linear function on an interval $$[a,b]$$ to make it continuous or not.
Graphs a function $$f (x)=g(x)h'(x)$$ and the area under the graph of $$f (x)$$ for a given interval, and shows the modifications made to $$f (x)$$ and the area when considering $$u=g(x)$$ and $$v Sage is a free open-source mathematics software system licensed under the GPL. It combines the power of many existing open-source packages into a common Python-based interface. This GeoGebra applet and accompanying activities illustrate the formal definition of a sequence of real numbers converging to a limit \(L$$ through a series of interactive exercises.

The applet shows graphically and numerically consecutive terms of a sequence or consecutive partial sums of a series.

This worksheet provides an examination of the Fundamental Theorem of Calculus both graphically and numerically using a graphing calculator.

This animation is a dynamic representation of the area function in the standard proof of the Fundamental Theorem of Calculus.
This applet uses many examples to dynamically illustrate the Fundamental Theorem of Calculus and the meaning of the definte integral in terms of areas.
This web page includes an interactive Java applet to visualize finding an open-topped box of maximum volume by cutting square corners from a flat sheet of cardboard and folding the sides up.

This maplet provides guided practice in the mechanics of working related rates problems (with feedback and hints).