Friday, January 8
Announcements
WeBWorK #1 is now open.
Due Wednesday, January 13 at 9pm
Covers material from “Week 1”—see syllabus on course
web page
Together with the suggested problems (which are now
posted), these are your best way to practice for the in-class
quizzes
Reminder: if you want to contact me, please do so on Piazza
(privately if you wish) rather than by email.
Exception: if you’re having trouble getting onto Piazza!
These slides (announcements and clicker questions) will
always be posted on our section’s web page after class.
Friday, January 8
Clicker Questions
Clicker Question 1
Computing a definite integral geometrically
Draw the graph of y = 5 − x between x = 0 and x = 3, and then
use it to compute
Z 3
(5 − x) dx.
0
A. 9/2
6
B. 15
5
4
C. 6
3
D. 21/2
2
E. 21
1
1
-1
-1
2
3
4
Clicker Question 2
A negative integrand
What do you think the definition gives us for the definite integral
Z 3
n
X
(xi∗ − 5)∆x?
(x − 5) dx = lim
0
n→∞
A. 21/2
B. 0
C. −21/2
i=1
1
1
-1
-1
-2
D. −∞
-3
E. not defined
-4
-5
-6
2
3
4
Clicker Question 3
3
Z
x
Define g(x) =
2
f (t) dt, where
−2
y= f HtL
1
f (t) is the function to the right.
-2
1
-1
2
3
-1
“Net area so far” function
Between x = −2 and x = 3: on what interval, if any, is g(x) flat?
On what interval is g(x) decreasing?
A. g(x) is flat for −1 ≤ x ≤ 0, and decreasing for 0 < x < 2
B. g(x) is not flat on any interval, but decreasing for 1 < x < 3
C. g(x) is flat for −1 ≤ x ≤ 0, and decreasing for 1 < x < 3
D. g(x) is not flat on any interval, but decreasing for 0 < x < 2
E. none of the above