Math 122

Homework #1

Instructions. This is due on January 19 at the beginning of class. It is worth 20 points. Late papers lose 4 points if turned in by 8:00 Monday morning, plus 3 points per additional 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 exercises 31-34 on page 352, each pair of problems has one that can be worked using the techniques of section 4.1 and one that can't. Briefly describe how to work each one that you can do. (For example, a description might be "multiply out the terms and use the power rule".) For each problem that can't be worked, find an antiderivative using the TI-89. Pick two of the antiderivatives and show that they are correct by computing their derivatives by hand. Note that one of the functions does not have an antiderivative that can be written in terms of elementary functions (polynomials, trig functions, exponentials, logarithms). How does the TI-89 handle this case?