HMMT 1998 K1
- Calculus
- Answer
Farmer Tim is lost in the densely-forested Cartesian plane. Starting from the origin he walks a sinusoidal path in search of home; that is, after minutes he is at position .
Five minutes after he sets out, Alex enters the forest at the origin and sets out in search of Tim. He walks in such a way that after he has been in the forest for minutes, his position is .
What is the greatest distance between Alex and Farmer Tim while they are walking in these paths?
Dataset text NuminaMath olympiads. Quoted with source.
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\sqrt{29}
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