Math 122

Homework #4

Instructions. This is due on February 27 at the beginning of class. It is worth 20 points. Late papers lose per day late. You must work by yourself, but feel free to consult with me. Explain what you did and why you did it: good explanations are essential! Start early, ask questions and do well.

Problems. In many applications of calculus, you don't have a formula for the function you work with. Instead, you may only have a small number of measurements. In this case, what you need to know about calculus is more the concepts and definitions than the derivative and integral formulas that make up so much of the typical calculus course. In this assignment, you will work with exactly this situation. Along with computing your estimates, you should draw a picture of the data and sketch curves through the data points to illustrate what you are doing. Also, briefly discuss what you have learned about the efficiency of golf balls and feet. In particular, compare your golf ball to the baseball in exercise 33 (use the answer in the back of the book) and compare the human arch to the wallaby tendon in exercise 35.

Work exercises #34 and #36 on page 439.