Taylor Polynomials and Taylor Series Math 126 In many problems in science and engineering we have a function f (x) which is too complicated to answer the questions we'd like to ask. In this chapter, we will use local information near a point x = b to find
Basic skills list for Math 126 Exam II
The following is a collection of some of the things you are expected to be able to do on the second
midterm. It is intended as a starting point, not as a comprehensive summary of the course: review
all lectures, read
Basic skills list for Math 126, Midterm 1
The following is a collection of some of the things you are expected to be able to do on the rst
midterm. It is intended as a starting point, not as a comprehensive summary of the course: review
all lectures, read
Exam II Hints and Answers
Math 126 E Spring 2011 Version Alpha
4
y 4
y
1. (a) fx (x, y ) = 3/2 cos
2x
x
4
4y 3
y
(b) fy (x, y ) = cos
x
x
4
4
2
12y
y
16y 6
y
(c) fyy (x, y ) = cos
sin
x
x
x
x
2.
1
0
y2
g (x, y ) dx dy +
0
5
1
1
(5y )
4
g (x, y ) d
MATH 126 E
Exam II
May 17, 2011
Name
Student ID #
Section
HONOR STATEMENT
I arm that my work upholds the highest standards of honesty and academic integrity at the
University of Washington, and that I have neither given nor received any unauthorized assis
Exam I Hints and Answers
Math 126 D Spring 2011
1. (a) ANSWER: (2, 14, 6)
(b) ANSWER: y 2z = 2
2. HINT: x = r cos = (6 + cos(6) cos , y = r sin = (6 + cos(6) sin , and
dy
dy/d
=
.
dx
dx/d
ANSWER: y = 3x + 10
3. (a) HINT: P Q = k 3, 3, 0, P S = 5, 4, 2, an
MATH 126 E
Exam I
April 26, 2011
Name
Student ID #
Section
HONOR STATEMENT
I arm that my work upholds the highest standards of honesty and academic integrity at the
University of Washington, and that I have neither given nor received any unauthorized assi
Exam II HINTS AND ANSWERS
MATH 126 D AUTUMN 2011 Version Alpha
= 0, 0, 1 , N
1. (a) (8 points) ANSWER: T
6
6
11
B
= , , 0
6
22
(b) (4 points) ANSWER: z = 0
1
1
= , , 0 ,
2
2
2. HINT: Let (x, y, z ) be an arbitrary point on the surface. Use the distance fo
MATH 126 D
Exam II
November 22, 2011
Name
Student ID #
Section
HONOR STATEMENT
I arm that my work upholds the highest standards of honesty and academic integrity at the
University of Washington, and that I have neither given nor received any unauthorized
MATH 126 D
Exam I
October 25, 2011
Name
Student ID #
Section
HONOR STATEMENT
I arm that my work upholds the highest standards of honesty and academic integrity at the
University of Washington, and that I have neither given nor received any unauthorized as
MATH 126
Exam I Review - Hints and Answers
1. We need all x such that the dot product of the two vectors is equal to 0:
4, 5, x 3x, 7, x = 12x + 35 + x2 = (x + 7)(x + 5).
This is 0 for x = 7 and x = 5.
2. Many (in fact, innitely many) correct answers to t
Review Problems for Exam I
MATH 126 Autumn 2011
Here are some problems from old exams that will help you prepare for the midterm. This is not
intended to be an exhaustive review of the material. You will be expected to understand how to do
all the assigne
MATH 126
Exam II Review - Hints and Answers
2
1. (a) aT =
6
1
(b) t =
6
2
104
4t
, aN =
2. aT =
4t2 + 26
4t2 + 26
3. (a) the domain is the half plane above (not including) the line y = x
1
(b) fxy (x, y ) = ey +
(x + y )2
2y
x y2
2y
(b) fxy (x, y ) =
Review Problems for Exam II
MATH 126 Autumn 2011
Here are some problems from old exams that will help you prepare for the midterm. This is not
intended to be an exhaustive review of the material. You will be expected to understand how to do
all the assign