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• 13 Color changes of a solution of acetone and sodium hydroxide
• 12 Find all functions f such that $f(f(x))=f(x)+x$
• 11 Backup always fails at 96%
• 10 Only once differentiable
• 9 Prove that $\exists x_0, x_1\in (0,1)$, such that $\frac{f'(x_0)}{x_0}+\frac{f'(x_1)}{x_1^2}=5$
• 8 Functional equation $f(x+y)+f(x-y)=2f(x)f(y)$
• 8 Find $\lim_\limits{x\to +\infty}{\left[\frac{\ln\left(1+2^x\right)}{\ln\left(1+3^x\right)}\right]}$
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