MATH 223 Section 9
Spring 2006
Homework # 4 (Section 14.1 and 14.2)
Be sure to answer each question clearly stating your answer and neatly showing all of the work,
logic, and/or reasons you used to reach your nal answer. Answers without the proper work wi
Solutions for HW # 4 1. (a) The graph of the surface has horizontal cross sections (slices for fixed z values) which are ellipses. Notice that the contour values are for negative z-values, and this the graph is below the xy plane. When z = 0, we are at th
Solutions for Quiz # 3:
Section 19.1
1. See the transparency:
For each of the surfaces, the area vectors have direction pointing only in the direction of one
of the main components: i, j, or k. So for example the surface in (a) has normal vector in
direct
1
SOLUTIONS TO MATH 223 TAKE HOME TEST
Spring 2006
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MATH 223 Section 9
Exam 3
March 30, 2006
NAME:
DIRECTIONS: Read each of the 7 questions carefully, and then answer each question. Be sure
to SHOW ALL OF YOUR WORK in order to justify your nal answer. NO CREDIT will be
given for answers without any work sh
MATH 223 Section 9
Homework # 6 (Section 14.6 - 14.7 and 16.1 - 16.3)
Spring 2006
Be sure to answer each question clearly stating your answer and neatly showing all of the work,
logic, and/or reasons you used to reach your nal answer. Answers without the
1
MATH 223 TAKE HOME TEST
In regards to the University Code of Academic Integrity, the rules for this take home test are as
follows. Each student must work independently on the test. You may ask questions of your
instructor but of no one else.
To receive
MATH 223 Section 9
Homework # 6 Solutions (Section 14.6 - 14.7 and 16.1 - 16.3)
Spring 2006
1. Consider the following function of three variables,
w = f (x, y, z) = (x + y + z)ez .
Furthermore the variables x, y, and z are functions of s and t given below
MATH 223 Section 9
Exam 4
April 20, 2006
NAME:
DIRECTIONS: Read each of the 6 questions carefully, and then answer each question. Be sure
to SHOW ALL OF YOUR WORK in order to justify your nal answer. NO CREDIT will be
given for answers without any work sh
MATH 223 Section 9
Spring 2006
Homework # 5 (Section 14.3 - 14.5)
Be sure to answer each question clearly stating your answer and neatly showing all of the work,
logic, and/or reasons you used to reach your nal answer. Answers without the proper work will
MATH 223 Section 9
Exam 1
February 6, 2006
NAME:
DIRECTIONS: Read each of the 8 questions carefully, and then answer each question. Be sure
to SHOW ALL OF YOUR WORK in order to justify your nal answer. NO CREDIT will be
given for answers without any work
MATH 223 Section 9
Spring 2006
Homework # 5 (Section 14.3 - 14.5)
Be sure to answer each question clearly stating your answer and neatly showing all of the work,
logic, and/or reasons you used to reach your nal answer. Answers without the proper work will
MATH 223 Section 9
Exam 2
March 2, 2006
NAME:
DIRECTIONS: Read each of the 7 questions carefully, and then answer each question. Be sure
to SHOW ALL OF YOUR WORK in order to justify your nal answer. NO CREDIT will be
given for answers without any work sho
Summary of Math-223
I. Mathematical Objects we have met
a. Scalar Variables: These are variables which have a single value, such
as x, y, or t.
b. Vector Variables: These are variables which have magnitude and
direction, and are denoted v = vx + vy in 2 ,