Excel in math, science, and engineering

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Barry chose two not necessarily distinct integers from 1 to 6 inclusive. He told Gerry only the sum of these two integers, and Harry only the product. But Barry let ...

Bill, David, and Joey are the 3 finalists in a hot dog eating contest.

You are hosting a party and have bought a combination of apple(s), orange(s), and pear(s). Then you slice each apple into 3 pieces, each orange into 4 ...

Consider the following limits

\[\large L_- = \lim_{x \to 0^-} (1+\{x\})^{\lfloor x \rfloor} \qquad \qquad L_+ = \lim_{x \to 0^+} (1+\{x\})^{\lfloor x \rfloor} \]

What are ...

\[ \frac{a}{b^3+4}+\frac{b}{c^3+4}+\frac{c}{d^3+4}+\frac{d}{a^3+4}\]

Let \(a,b,c,d\geq 0\) be reals such ...

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