# Browse Classroom Capsules and Notes

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Finding a real root between $$a$$ and $$b$$

Powers are found efficiently on a calculator with no power key.

Analogy of hyperbolic and trigonometric functions

Differentiating a power of $$x$$ when the power is rational.
If and only if characterizations of linear functions.
Rearrangements of diverging series made to converge.

The volumes of related tetrahedra are found by vector methods.

The AM-GM inequality, proof without words

Approximate a solution to $$2^x = 5$$.