# Browse Classroom Capsules and Notes

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Displaying 1121 - 1130 of 1214

A visual demonstration of an inequality involving the tangent function and sums is presented.

Mengolis Series is presented visually .

A wide-ranging discussion of the question in the title of the paper is presented.
The probability of losing in exactly $$n$$ steps of the gamblers ruin game is investigated.
The author discusses the effect of moving the roots of a polynomial in a Java applet.
The authors exhibit two differentiable functions for which the integration by parts formula does not apply.
The author analyzes the motion of a hollow ball with a viscous fluid center as it slowly rolls down a slightly inclined plane.

Three new proofs of the fact that the point $$A$$ on the circular arc $$BC$$ for which $$AB + AC$$ is maximum is the midpoint of the arc are presented.

This note uses the Gauss sums to evaluate certain sums of trigonometric functions. It includes a short history of Gauss sums.

The result in the title is demonstrated graphically.