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## Questions

### Subject:Pre-Calculus

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Question:

Please prove this equation: $$\cos(2\omega) = \cos^{2}\omega - \sin^{2}\omega$$

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To prove this equation you would...

### Subject:Geometry

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Question:

Given a square that has a line drawn through the middle both horizontally and vertically, what would you do to find half of the area of the square?

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To find half of the area of the square, you would draw a diagonal across each smaller square until he four diagonals connect. This new square has half of the area of the larger square.

### Subject:Calculus

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Question:

Please assist me in solving the following question, $$\int_0^\infty \mathrm{e}^{-x},\mathrm{d}x$$

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To solve this question, you would need to first use U substitution to...

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