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handout_09_09

handout_09_09 - Math 1a Lecture 2 1 The following are some...

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Math 1a: Lecture 2 September 11, 2009 1. The following are some odometer readings during my bike ride to Harvard: Time (hh:mm) 10:00 10:01 10:02 10:04 10:05 10:06 10:08 10:09 10:10 Distance (meters) 0 610 980 1240 1250 1260 1520 1890 2500 (a) What was my average speed for the ride? (b) What was my average speed for the first two minutes? What about the middle two minutes (10:04 to 10:06)? (c) My advisor saw me a minute before I reached Harvard. According to him, I was going dangerously fast. Can we give some estimates for how fast I was going when he saw me? (d) I showed this data to my friend Isaac and he realized that it can be described exactly by the function f ( x ) = 10( x - 5) 3 + 1250

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