APMA 111 NAME:
Quiz 4
February 12, 2008 SECTION: #2 (11 am) #6 (10 am)
On my honor as a student, I have neither given nor received aid on this quiz. SIGNATURE: sin x - x x0 x3
1. (a) [3 pts] lim
Solution:
x0
lim
1 sin x - x L cos x - 1 L - sin x L - cos x
APMA 111 NAME:
Quiz 5
February 26, 2008 SECTION: #2 (11 am) #6 (10 am)
On my honor as a student, I have neither given nor received aid on this quiz. SIGNATURE:
1. (a) [3 pts]
e2 dx e2 dx = e2 1 dx = e2 x + C
Solution:
(b) [3 pts]
cos x cos3 (sin x) dx
Sol
APMA 111 NAME:
Quiz 6
March 11, 2008 SECTION: #2 (11 am) #6 (10 am)
On my honor as a student, I have neither given nor received aid on this quiz. SIGNATURE: 1. [5 pts] Compute the following integral. Your answer may be , -, or DNE (does not exist). e dx 1
APMA 111 NAME:
Quiz 7
March 18, 2008 SECTION: #2 (11 am) #6 (10 am)
On my honor as a student, I have neither given nor received aid on this quiz. SIGNATURE: 1. [7 pts] Find the centroid of the region bounded by the curves y = x + 2 and y = x2 . Your answe
APMA 111 NAME:
Quiz 8
March 25, 2008 SECTION: #2 (11 am) #6 (10 am)
On my honor as a student, I have neither given nor received aid on this quiz. SIGNATURE: 1. [7 pts] Sketch the curve and indicate with an arrow the direction in which the curve is traced
APMA 111 NAME:
Quiz 9
April 15, 2008 SECTION: #2 (11 am) #6 (10 am)
On my honor as a student, I have neither given nor received aid on this quiz. SIGNATURE:
For each alternating series, show that it is absolutely convergent, conditionally convergent, or d
APMA 111 NAME:
Quiz 10
April 22, 2008 SECTION: #2 (11 am) #6 (10 am)
On my honor as a student, I have neither given nor received aid on this quiz. SIGNATURE: 1. [5 pts] Show that the following series is absolutely convergent, conditionally convergent, or
APMA 111 STUDENT NAME:
Quiz 11
April 25, 2008
On my honor as a student, I have neither given nor received aid on this quiz. SIGNATURE:
1. [5 pts] Compute the Maclaurin series for the following function, and determine the interval of convergence: g(x) = si
Procedure for Determining Convergence
Divergence Test If lim an = 0, then
n n=1
an diverges.
Geometric Series
n=1
arn-1
a if |r| < 1 1-r = a + ar + ar2 + . . . = diverges if |r| 1
p-Series
n=1
1 np
converges if p > 1 diverges if p 1
Analyze
n=1
|an |
APMA 111 NAME:
Quiz 3
February 5, 2008 SECTION: #2 (11 am) #6 (10 am)
On my honor as a student, I have neither given nor received aid on this quiz. SIGNATURE: 1. [3 pts] A bacteria culture initially contains 100 cells and grows at a rate proportional to i
APMA 111 NAME:
Quiz 2
January 29, 2008 SECTION: #2 (11 am) #6 (10 am)
On my honor as a student, I have neither given nor received aid on this quiz. SIGNATURE:
1. [3 pts] Simplify:
log3 100 - log3 18 - log3 50
Solution: log3 100 - log3 18 - log3 50 = log3
APMA 111 NAME:
Quiz 1
January 22, 2008 SECTION: #6 (10 am) #2 (11 am)
On my honor as a student, I have neither given nor received aid on this quiz. SIGNATURE:
1. Answer the following questions for f (x) = x2 + ln(2x). (a) [1 pt] What is the domain of f (x