Monday, February 22
Announcements
If you submitted your Quiz #2 for a regrade, come pick it up
from me (before or after class)
WeBWorK #6 is now open
Due Wednesday at 9pm
Covers material from “Week 6”—see syllabus on course
web page
Solutions to (all versions of) Quiz #3 are online
Quiz #3 papers will be available in the MLC starting
Thursday
Grades will be posted in Connect by Friday
Monday, February 22
Clicker Questions
Clicker Question 1
An improper integral (infinite interval)
Determine whether
Z
5
∞
1
dx
x
is convergent or divergent; if it is convergent, find its value.
A. divergent
Z
B. log 5
C. 1/5
D. e5
E. 1/25
5
∞
Z t
1
1
dx = lim
dx
t→∞ 5 x
x
= lim log |t| − log |5|
t→∞
=∞
Clicker Question 2
Another improper integral (infinite interval)
Determine whether
Z
3
2x dx
−∞
is convergent or divergent; if it is convergent, find its value.
A. 8 log 2
B. divergent
C. −8 log 2
D. −8/ log 2
Z
3
Z
x
2 dx = lim
t→−∞ t
−∞
t→−∞
= lim
t→−∞
=
8
log 2
2x dx
!
2x 3
log 2 t
= lim
E. 8/ log 2
3
2t
23
−
log 2 log 2