Excel in math, science, and engineering

Given that \(a,b\) and \(c\) are positive real numbers, find the maximum value of

\[ F = \ln\left( a - \dfrac a{bc} \right) - bc - a . \]

Round your answer to the ...

The goal of this set of notes is to improve our problem solving and proof writing skills. You are encouraged to submit a solution to any of these problems, and ...

A mother brings home a surplus Valentine Cake from the bakery where she works. It's made from 3 semi-circles of radii 2, 3, 5 inches, 3 inches thick. See ...

\[\text{Hello every } e^{2\pi i}. \text{ From the moderators to you: Happy February!}\]

January has gone by so fast! We’re only 1/12 of the way into ...

\[ \begin{array} {l l} 1 & = 3 - \frac{2}{1} \\ & = 3 - \frac{2}{ 3 - \frac{2}{1} } \\ & = 3 - \frac{2}{ 3 - \frac{2} { 3 - \frac{2}{1} } } \\ & = \ldots \\ \end{array} \]

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