# Browse Classroom Capsules and Notes

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Displaying 151 - 160 of 1209

Distance from a point to a plane, using a variation of the Pythagorean Theorem

Using L-U factorization, the author generates examples of matrices for which Gaussian elimination process can be done in integer arithmetic, including examples of matrices that are invertible...

Computation with planar rotations without trigonometry

The pseudo inverse of a matrix $$A$$ is used to obtain information about the rows of $$A$$.

A solution is obtained for motion where resistance is proportional to square of velocity.

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