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Unformatted text preview: 2. For what value(s) of c is f ( x ) = ( cx 2 + 2 x if x < 2 x 3-cx if x 2 continuous? 1 3. Use the Intermediate Value Theorem to show that x 4 + x = 3 has a root in the interval (1 , 2). 4. A monk leaves the monastery at 7:00 AM and takes his usual path to the top of the mountain, arriving 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. 2...
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