Class 14 - Quiz 3 (10/5/2017, Thursday)

Exam 1

When? Oct 9, Monday, 6 pm (double check the course website)

Where? TBD on the course website

2nd Gateway

You must pass the second Gateway by Oct 13, Friday. Otherwise, your grade will be damaged a lot!

Webwork

• 4.8 due 10/7 Sat

Quiz 3 will consists of

Exercise*. Solve #4b of Exam 1, Winter 2017.

Exercise*. Solve #6c of Exam 1, Fall 2016.

Exercise*. Solve #3 of Exam 1, Fall 2015.

Exercise*. Solve #8 of Exam 1, Fall 2015.

Exercise*. Compute

\[\int \frac{3x + 11}{x^{2} - x - 6} dx.\]

Exercise*. Compute the integral

\[\int_{e^{2}}^{e^{\pi}} \dfrac{2 - x}{x^{2} + 3x + 2} dx.\]

(Hint: first, note that $\frac{2 - x}{x^{2} + 3x + 2} = \frac{7/2}{x^{2} + 3x + 2} - \frac{x + 3/2}{x^{2} + 3x + 2}$. Integrate the second term by substitution method by choosing $u = x^{2} + 3x + 2$, and integrate the first term using partial fraction decomposition realizing that $x^{2} + 3x + 2 = (x + 1)(x + 2)$.)

AND

Team HW 1: only #1
Team HW 2: only #3, #4
Team HW 3: All