HW_1 - P112 Spring 2007 Homework #1 Due: Friday Jan 26,...

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P112 Spring 2007 Homework #1 Due: Friday Jan 26, 2007 – At lecture Reading: 1.1-1.6, 2.1-2.6 Not all concepts will be covered in class – you are responsible for all material in the reading and in the homework problems. Warm-up Exercises: (Answer only will be marked) 1. A bicycle travels 10 miles in 2 hours. What is its average speed in miles per hour? 2. How long, in minutes, does it take to go to from Ithaca to Syracuse (57 Miles away) if you travel at 65 miles per hour? 3. A bicycle, going up hill, travels 10 mile in 1 hour, then, going down hill, it travels 10 miles in 30 minutes. What is the bicycle’s average speed in miles per hour? Mathematics Exercises: 4. Consider the function f(x)= x 1+x . What value does f(x) take on as x becomes large? 5. Plot the function f(x)= x 1+x as a function of x, for 0<x<5. 6. What is the Taylor Expansion of f(x)= x 1+x about x=0, to second order? Estimation: (Marked based solely on logic) 7. You are at Wegmans, and the parking lot is full. Instead of driving around in circles you decide to sit tight and “guard” a set of parking spots, hoping that you will catch someone leaving. (a) Estimate how many parking spots you can reasonably “guard”. (b) Estimate how long the typical shopping trip lasts. (c) Based on those estimates, how long do you think you will have to wait before you get a parking spot? Problems:
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HW_1 - P112 Spring 2007 Homework #1 Due: Friday Jan 26,...

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