Homework Assignment #4
- Chapter 6.1, exercises 1-6. You do not have to show your work, answer only "one-to-one" or "not one-to-one".
- Chapter 6.1, exercises 11, 21, 28, 31.
- Chapter 6.2, exercises 1, 4, 18, 23.
- Read the explanation of logarithmic differentiation (Chapter 6.2) and then do exercise 50.
- Chapter 6.2, exercises 57, 58.
- Look at all the integrals in Chapter 6.3, exercises 51-68. They can all be solved by substitution, similar to the integral over tan(x). Try to guess the substitution. You can use Maple to check your guess as in the following Worksheet. Alternatively, you can find a working substitution in the solutions manual (Mathematics/Physics/Astronomy library, DRL 3rd floor). Not to be turned in.
Every exercise should be turned in, unless otherwise noted.