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Unformatted text preview: at 7:00 PM. The following morning, he starts at 7:00 AM at the top and takes the same path back to the monastery, arriving at 7:00 PM. Is there a point on the path that the monk will cross at exactly the same time of day on both days? Why or why not. 4. Prove that the polynomial x 3 +2 x 25 x +1 has at least three zeros. (Hint: consider f (4), f (0), f (1) and f (2).) 5. (Challenge problem) Show that at any given time there are two diametrically opposite points on the globe that have the same temperature. 2...
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This note was uploaded on 03/27/2012 for the course MATH 1a taught by Professor Benedictgross during the Fall '09 term at Harvard.
 Fall '09
 BenedictGross
 Intermediate Value Theorem

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