MATH 16500 Final Exam Fall 2014
Exam is 10 pages plus cover page. Follow the instructions for each question. Show enough of your work that we can
understand what you are doing.
1 (4 points) State the limit denition of derivative. Use this denition to show
Definition of function
Correspondence
D
Transformations of Functions
Vertical and horizontal shifts:
1.
2.
3.
4.
Vertical and Horizontal Stretching and Reflecting
1.
.
2.
3.
4.
5.
6.
+
4
=
It
is possible
Instructor: Natalia Shkiler, PhD.
TEXTBOOK: The correct textbook is: Textbook:
James Stewart, Calculus, 7th Edition, Thomson Brooks/Cole, ISBN-13:9780-538-49781-7
Appendix A
Calculus is based on the real number system:
Integers: ,-4,-3,-2,-1,0,1,2,3,4
B. Melsheimer
(Blank)Quiz 5
Name _
15300
If I press hard enough my pencil will write the correct things
I.D. N0#[Last 4 digits] _
3/10/14
SHOW ALL WORK !
(1) Find the center and radius of the circle with the (2) Find the slope-intercept form of the equati
B. Melsheimer
15300
3/25/14
(1) (a) If ( )
into the form
(Blank)Quiz 6
Answers start in the brain and not at the end of a pencil
( )
Name _
I.D. N0#[Last 4 digits] _
SHOW ALL WORK !
then put the function (1)(b) Graph ( ) and list at least 4 coordinate
(
Math 16500
Take home Quiz
1. Find the derivative of the function:
5
f ( x )=( x 4 +3 x 22 )
a)(chapter 2.5 #7)
b) (chapter 2.5 #11)
f ( z )=
1
z +1
2
2
c) (chapter 2.5 #21)
d) (chapter 2.5 #44)
y=
3
( )
x +1
2
x 1
y=cos 4 ( sin 3 x )
Name:_
2. Find
dy
dx