Excel in math, science, and engineering

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This is a 96" x 96" section of a garage door. This image is a square of equal sides.

There are four rows in this square section. Each row shows ...

A knight is placed at the center of an infinitely large chess board. For large \(n,\) the number of squares on which the knight can be after exactly \(n\) moves ...

\[ 125y^2=108x^3+500\] How many ordered pairs of integers \((x, y)\) satisfy the above equation?

A student is preparing feverishly for final exams, and he doesn't realize that his laptop has been creeping towards the edge of his desk and is about to fall ...

A small box is placed on a conveyor belt that moves with constant speed \(v_{0}=1~\text{m}/\text{s}\). Due to a technical malfunction, the belts starts moving ...

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