# Browse Classroom Capsules and Notes

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Displaying 1041 - 1050 of 1214

Generalized examples of a sphere and a circumscribing cylinder, which can also be used to calculate the surface area of a sphere.

Describing Pythagorean Triples with one square side and a triangular side. Their number is infinite.

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