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Hello everyone! Its an encounter with you guys after almost 2 months. I am very happy and proud to tell that I am pursuing my Bachelor Degree in Chemical Engineering ...

Dom and Brian decided to race along the streets of Brazil, where the cops may chase after them. The probability of being intercepted by the police is 0.7 for ...

\(f(x)\) is a \(6^\text{th}\) degree polynomial satisfying \(f(1-x)=f(x+1)\) for all real values of \(x\). If \(f(x)\) has four distinct real roots and ...

\[ \large \displaystyle\lim_{x\to1729} {f(x) - f(1729) }\]

Let \(f(x) = \lfloor x \rfloor + \lfloor -x \rfloor \), where \( \lfloor \cdot \rfloor \) denotes the floor function. Compute the limit above.

\[\large f(x)=-2{x}^3-9{x}^2 -12x+6\]

What is the maximum value of \(f\left(\left|x-2\right|\right)\)?

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