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• 10 If $f : [a,b]\to\Bbb R$ is continuous, are there $x_1,x_2\in (a,b)$ such that $\tfrac{f(b)-f(a)}{b-a} = \tfrac{f(x_1)-f(x_2)}{x_1-x_2}$?
• 6 Evaluating $\int^1_0 \frac{x-1}{\ln x}dx$ using Leibniz's integral formula
• 5 Realizing the wedge product of $\mathbb{R}^3$ as torsion or curvature tensor
• 5 Finding the minimum or maximum of a bivariate function when $f_{xx}\times f_{yy}-f_{xy}^2=0$.
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