Worksheet #21
(1) Find the limit if it exist
lim(x,y)(0,0) x2xy
+y 2
Solution: If we let y = x then,
1
x2
xy
=
lim
= .
2
2
2
2
(x,y)(0,0) 2x
(x,y)(0,0) x + y
lim
If we let x = 0 then,
lim
(x,y)(0,0)
Old Exam One Spring 2008 Solutions Spring, 2009
Math 21a
Part I:
Multiple choice. Each problem has a unique correct answer. You do not need to justify your
answers in this part of the exam.
1
Which of
MATH 2004 Homework Solution
Han-Bom Moon
Homework 6 Model Solution
Section 14.2 14.3.
14.2.6 Find the limit, if it exists, or show that the limit does not exist.
lim
(x,y)!(1, 1)
exy cos(x + y)
exy ,
Math 2443 Homework #2
Solutions
Section 15.3.
Find the first partial derivatives of the function.
18. f (x, t) = x ln t.
Solution: We have
1
f
= ln t, and
x
2 x
x
f
=
.
t
t
22. f (x, y) = xy .
Solutio
4. We compare the values for the wind-chill index given by Table 1 with those given by the model function:
Modeled Wind-Chill Index Values W(T, 1)
Wind Speedgkm/h)
Actual temperature (C)
The values
Math 314 Lecture #12
14.2: Limits and Continuity
Outcome A: Recall and apply the definition of limit of a function of several variables.
Let f be a function of two variables whose domain D contains po
Extra Assignment for CHEM 211 (10 A only) Students
SET I (ch. 2) (8 pts)
SET II (Ch.3) (8 pts)
1.
2.
3.
4.
5.
SET III (Ch 4) (6 pts)
1.
2.
3.
SET IV (ch 5) (8 pts)
1.
2.
3.
4.
SET V (ch 6) (14 pts)
1.
Household Income Distribution
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Oscar Gaytan & Mital Patel
April 16, 2017
Analysis
Introduction
.
Understanding income distribution is essential for growth and development.
You
Household Income Distribution
United States: 2011-2015
Oscar Gaytan & Mital Patel
April 16, 2017
Analysis
Introduction
.
Analysis
Understanding income distribution is essential for growth and developm
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o
Math 241, Section F1H
Exam 2 Solutions
Fall 2007
Exam 2 Solutions and Comments
Grading: Each problem was worth 20 points. The maximal total score is 140
points, and the average was 113 points.
Curvi
Math 241, Section F1H
Exam 1 Solutions
Fall 2007
Exam 1 Solutions and Comments
Grading: See the table below for the number points per problem. As a general
rule, in multiple-part problems, each part