Mathematical Models

Homework Assignment #4

Due Wednesday, February 19, 11:00 am

Homework should be turned in at the BEGINNING OF CLASS. Unless otherwise specified, all problem numbers refer to Giordano, Weir and Fox, the required text for the course. You should write up solutions neatly to all problems, making sure to SHOW ALL YOUR WORK. A nonempty subset will be graded. You are strongly encouraged to work on these problems with other classmates, although the solutions you turn in should be your own work. At the top of your homework, please list any students you work with or any other resources you found helpful (websites, books, faculty, etc.)

Section 2.1
Problems:   7, 9, 13

Section 2.2
Problems:   2, 4, 5

Section 2.3
Problems:   2, 4, 9 (including parts a and b)

Note: Problem #9 refers to the Bass Fishing Derby model discussed in the text. "Interpret these models geometrically" means explain and contrast the models in terms of geometric similarity. For part a), use the definition of the average value of a function (recall your Calculus). Its not clear to me why the Mean Value Theorem is necessary for the derivation.