Principles of Analysis

Homework Assignment #10

Due Friday, April 19, START of Class

Homework should be turned in at the BEGINNING OF CLASS. All problem numbers refer to Bilodeau and Thie's book, the required text for the course. You should write up solutions neatly to all problems, paying particular attention to your arguments and proofs. 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.

Section 5.1
Problems:   1, 3b, 10, 11

Section 5.2
Problems:   1a, 1b, 4, 5a, 5d, 12

Hint: In problem #5, try bounding the integrand above and below on the interval of integration.

Section 5.3
Problems:   2a, 2c, 2f, 4

Section 5.4
Problems:   1a, 1c, 1d, 1e, 3, 7

Hint: In problem #1e, try breaking the integral into two integrals which are in the correct form to apply the FTC.