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Browse Classroom Capsules and Notes

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Displaying 171 - 180 of 1211

Stacking Ellipses - Revisited

The area of an ellipse is computed without calculus, using area of a circle.

Quadratic Confidence Intervals

Confidence intervals are obtained using quadratic approximation for probability.

Income Averaging Can Increase Your Tax Liability

A caveat: Income averaging can raise your tax.

Medical Cozenage on Fermat's Last Theorem

This tongue-in-cheek article solves a variation of Fermat's last theorem.

Behold! The Midpoint Rule Is Better Than The Trapazoidal Rule

The midpoint rule is better than the trapazoidal rule for concave functions. A proof without words.

The Bisection Algorithm is Not Linearly Convergent

Finding a real root between \(a\) and \(b\)

Nested Polynomials and Efficient Exponentiation Algorithms for Calculators

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

Inverse Hyperbolic Functions as Areas

Analogy of hyperbolic and trigonometric functions

A Self-Contained Derivation of the Formula \( \frac {d x^r}{dx}=r x^{r-1}\)
Differentiating a power of \(x\) when the power is rational.
Average Values and Linear Functions
If and only if characterizations of linear functions.

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