CS 5351/CS 4365, Fall 2010, Test 2

Name: ___________________________________________________________

1. Assuming that the computer uses 2 decimal digits, compute the range of a + b * c, where a is in the interval [0.9, 1.1], b is in the interval [0.009, 0.011], and c is in the interval [10, 16], with appropriate round-offs.

2-4. Estimate the range of function (1 - x) * (2 + x) on the interval [-3, 0] by using the following methods:

5. A decision maker has three alternatives:

Find out which alternative will be selected by each of the following four decision makers:

6. Use the interval-based optimization algorithm to locate the maximum of the function f(x) = x - x2 on the interval [0, 0.8]. Divide this interval into two, then divide the remaining intervals into two again, etc. Stop when you get intervals of width 0.1.

7-8. Use the constraints method to solve the following two problems:

9. Briefly describe the topic of your class project and what you have done so far.