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Browse Classroom Capsules and Notes

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Alternative method for integration of products of sines and cosines

Various methods are given for evaluating \(\lim_{x \rightarrow 0} \frac{\sin x}{x}\).

Presents various models for optimization

Solution is obtained for a rectangle in general position inside a triangle.

Obtains optimal solids under various constraints and specified cross-sections

Three classical problems are solved and generalized.

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

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

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

An analysis of NFL quarterback ratings