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 P: 783 I actually made this question up while studying some chemistry. The problem is easy to visualize, but I'm trying to formalize to help myself think more rigorously. To be precise I sort of thought about how you could prove that a reduction in vapor pressure causes a depression freezing point in an ideal solution. Suppose that $f(x)$ and $g(x)$ are both real-valued differentiable functions defined for all x. It is known that: $f'(x)>0$ for all x $g'(x)>0$ for all x There exists exactly one value of $c$ such that $f(c) = g(c)$ There exists a $d$ such that $f(d) = g(d)-5$ Prove that [itex]d