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Consider the following model:

A raindrop falls from rest with a small initial mass, \(m_0.\) As it falls, it accumulates mass by absorbing the smaller water drops in its path ...

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 ...

Dear Brilliant Community, I Am really grateful to all the people here on brilliant for posting good problems, solutions, quizzes,notes etc from which i learnt a lot. I Was ...

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

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