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Browse Classroom Capsules and Notes

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Displaying 21 - 30 of 47

An investigation of the applicability of a method for evaluating a single improper integral as an iterated double integral

The authors give a derivation of the integral remainder formula in Taylor's Theorem using change of order in an iterated multiple integral.

Spherical and cylindrical coordinates arise naturally in a volume calculation.

Links hyperbolic functions to distance measurement in space-time

Explores the Gaussian normal density through polynomial approximations

Describes and generalizes a technique for minimizing certain areas and volumes.

A new function discontinuous at \(0\) is contrived so that the limit approaching \(0\) along any path \(y=mx^n\) is zero.
An attempt is made to define, for optimization problems, a dual or "flip-side" problem also solvable.

Use the second derivative test to establish that the regression parameters give a minimum.

Common inequalities are derived using LaGrange multipliers.