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Browse Classroom Capsules and Notes

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Displaying 1041 - 1050 of 1212

Use Green's Theorem to find a particular integral of a single variable

When the sample space is too small, then Bernstein's examples on independent events fail.

Use substitution to calculate partial fraction expansions
Certain identities that involve numbers from the Pascal triangle can be derived using Laplace transforms.
The author describes a method for identifying curves where the arc length is easy to compute by symbolic integration.

A family of curves whose lengths are closely related to Pythagorean Triples and therefore rational

In this note the convergence of certain modified \(p\) -series is discussed.

A new approach to finding the center of gravity for quadrilaterals

A number game and the discussion of probabilities of winning

A row (column) of a matrix is called “extraneous” if it is a linear combination of the other rows (columns).  The author shows that deleting an extraneous row or column of a...