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Browse Classroom Capsules and Notes

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Displaying 161 - 170 of 1211

Integrals of Products of Sine and Cosine with Different Arguments

Alternative method for integration of products of sines and cosines

A Circular Argument
Various methods are given for evaluating \(\lim_{x \rightarrow 0} \frac{\sin x}{x}\).
The Best Shape for a Tin Can

Presents various models for optimization

What is the Biggest Rectangle You Can Put Inside a Given Triangle?
Solution is obtained for a rectangle in general position inside a triangle.
The Curious 1/3

Obtains optimal solids under various constraints and specified cross-sections

Old Calculus Chestnuts: Roast or Light a Fire?

Three classical problems are solved and generalized.

Least Squares and Quadric Surfaces

A solution for least squares regression line is obtained without calculus, using algebra and geometry.

An Exponential Rule

The author obtains a power rule for derivatives of powers with variable exponents.

A Useful Notation for Rules of Differentiation

Systematic use of brackets and parentheses to illustrate rules for calculating derivatives

How Does the NFL Rate the Passing Ability of Quaterbacks?

An analysis of NFL quarterback ratings

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