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Find the sum $\sqrt{1+ \frac{1}{1^2} + \frac{1}{2^2} } + \sqrt{1+ \frac{1}{2^2} + \frac{1}{3^2} } + \dots + \sqrt{1+ \frac{1}{2007^2} + \frac{1}{2008^2} }$$2008 - \frac{...
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In a triangle $\text{ABC}$, the lengths of the sides $\text{AB}$ and $\text{AC}$ equal $17.5$ cm and $9$ cm respectively. Let $\text{D}$ be a point on the line segment $\...
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Consider a right circular cone of base radius $4$ cm and height $10$ cm. A cylinder is to be placed inside the cone with one of the flat surfaces resting on the base of t...