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Browse Classroom Capsules and Notes

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Displaying 1111 - 1120 of 1211

Doubling: Real, Complex, Quaternion, and beyond...Well, Maybe

Non-commutative and non-associative examples

The Change of Base Formula for Logarithms

A new way to look at the base change formula

Defining Area in Polar Coordinates
A modification of the definition of the area bounded by possibly negative polar functions is presented.
Another Approach to a Class of Slowly Diverging Series
The Mean Value Theorem is used to prove divergence of certain slowly divergent series.
A Pretrigonometry Proof of the Reflection Property of the Ellipse

A geometric explanation of the reflective property of an ellipse

Numerical Integration via Integration by Parts
Using integration by part to find the error in numerical integration.
Behold! The Pythagorean Theorem via Mean Proportions

Simple proof for the Pythagorean Theorem.

An Exponential Rule

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

An Algebraic Approach to Partial Fractions
Finding the partial fraction expression
A Case of True Interest

Find the real interest.

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