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Browse Classroom Capsules and Notes

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An alternative way of finding the equation of the circle.

The author uses combinatorics to find the number of rankings of tennis players that are consistent with the tree representing a given tournament.

Example to clarify concept of alternating series.

A different way to find the product rule

Use the double angle formula for the tangent to construct Pythagorean triples.

The author characterizes and counts the number of the many row-reduced echelon forms associated with the set of all \(m \times n\) matrices.

A different way to find a usual limit

Use trigonometry inequality to show a geometric fact.