Excel in math, science, and engineering

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Let \( \omega = e ^ { \frac{ 2 \pi i } { 10} } \), which is a primitive 10th root of unity.

Consider all solutions to

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Can you use the digits 1, 2, 3 4 and 5 (in some order), along with common mathematical operations, to make 2017?

Allowed: Concatenation of digits Addition, subtraction, multiplication, division ...

In the diagram above, a large rectangle is divided into 5 smaller rectangles with all integer dimensions. The areas of 4 of the rectangles are given. What is the area ...

You have four boxes labeled Apples, Bananas, Carrots, and Dates. Each box is closed.

While you know all four types of food are there and each box only contains one ...

\(f(n) \)= \(n^{2} +12n - 835\) has 4 integer values (of \(n\)) such that \(f(n)\) is a perfect square. Find the product of the largest value with the sum ...

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