Test 1 (Math 181)
February 15, 2007
Name:_
I. (5pts) Find the limit for the following graph of y f (x) and answer the next
4
2
-6
-4
-2
0
2
4
6
-2
questions. lim f ( x)
x 4
lim f ( x)
x 4
lim f ( x)
x 4
lim f ( x)
x
lim f (
Math 181 Exam2 Show your work.
April 3, 2007
Name:_
I. (6pts)Find any vertical and horizontal asymptotes for f ( x) Vertical Asymptotes:_ Horizontal Asymptotes:_
x 2 5x 6 , if exists. 16 4 x 2
II. (5 pts) Based on the given sign diagram, determ
Math 211-Test IV
December 2, 2005
Name:_
A.(3 points each) Find each of the general indefinite integrals. 1. 3x 5
4 x 5dx
2.
2 x x2 dx x2
3.
3 sin x
5 1 x2
2 x dx
4.
4x3
4 3x
e 3 dx
B. (4 points each) Find each of the general indefinite
Math211 - Test III November 15, 2005 Show all of your work for full credit I. (5 pts each) For a graph of x 3 dy A. find . dx
Name:_
xy
y2
27 ,
B. find a tangent line equation at y
0.
II. (4 pts) Find the most general anti-derivative for the f
Math 211 Test II
October 21, 2005
Name:_
Please show all of your work. I. (5pts) Evaluate each limit for the graph y
y f (x)
f (x) and answer the following questions.
4
2
-6
-4
-2
0 -2
2
4
6
lim f ( x)
x 1
lim f ( x)
x 1
x
lim f ( x
Math 211 Test I Please show all of your work.
September 23, 2005
Name: _
I. (5 pts each) Each of the followings shows the graph of y at x a . Evaluate each f ' (a) . A.
f (x) and its tangent line
f ' (4)
4
2
0
2
4
6
B.
4
f ' (4)
2
0
Math211 Final
December 13, 2005
Name:_
III. (10 pts) Use the limit definition to prove f ' ( x)
6x for f ( x)
3x 2
5.
IV. (10 pt) Find the equation of the tangent line for x 2 y _
xy 3 y 2
5 at (2, 1) .
V. (5pts each) Differentiate each of