Quiz 1, Math for Economics II, Solution (10 pts)
New York University, Juan Gonzalez Paris
Note: Show all your work, clearly and in order, if you want to get full credit.
2
1. Let f (x, y) = e(x+2y) .
(a) (2 pts) Find Dv f (1, 1) where v = i + j.
(b) (2 pt
Assignment 5, Math for Economics I (28 points)
Due Friday, October 17, in recitation
Write neat solutions for the problems below. Show all your work. If you only write the answer with no work, you will
not be given any credit. Please do not forget to:
Wr
Quiz 4, Math for Economics II, Solution (10 pts)
New York University, Juan Gonzalez Paris
Note: The quiz has two problems, one in the front and other in the back. Show all your
you want to get full credit.
1 1 1 1
0 3 2 1
1. Consider the system of equat
Midterm II, Math for Economics I, Spring 2014
New York University, Dmitry Zakharov
Name:
Recitation Section:
Read all of the following information before starting the exam:
Show all your work, clearly and in order, to get full credit. A correct answer wi
Math for Econ II, Written Assignment 2 Solutions (28 points)
1. (4 pts) Find all unit vectors which are perpendicular to 2, 7 .
(by perpendicular, we mean that the vectors meet at a right angle)
Solution: We use the formula 2, 7 u = | 2, 7 |u| cos . If a
Homework 1 Solutions (28 points)
1. (6 pts) Residents of the town of Maple Grove who are connected to the municipal water supply are billed a fixed
amount monthly plus a charge for each cubic foot of water used. In other words, the monthly bill is a linea
Exam 1, Fall 2014
Math for Economics I
New York University, Jankowski
Name:
Recitation Section:
Read all of the following information before starting the exam:
On multiple choice questions, there is no partial credit, and you are not required to show you
Math for Econ II, Written Assignment 1 Solutions (28 points)
1. (5 pts) Let f (x, y) =
1
2
ln(x2 + y 2 ).
(a) (2 pts) What is the domain of f ? Very briey justify your answer.
(b) (3 pts) Suppose (a, b) is in the domain of f . Show that fxx (a, b) + fyy (
Assignment 1, Math for Economics I (28 points)
Due Friday, September 12, in recitation
Write neat solutions for the problems below. Show all your work. If you only write the answer with no work, you will
not be given any credit. For especially painful com
Quiz 2, Math for Economics I (10 Points)
New York University
1- A contract offers you the following payments: you are paid $1000 new, $3000 one year from now, and
$2000 two years from now. Assuming an annual interest rate of 7% compounded annually, what i
Math for Econ II, Written Assignment 4 (28 points)
1. (4 pts) The gures below show the optimal point (marked with a dot) in three optimization problems with the
same constraint. Arrange the corresponding values of from smallest to largest. Assume > 0 in e
Assignment 2, Math for Economics I (28 points)
Due Friday, September 19, in recitation
Write neat solutions for the problems below. Show all your work. If you only write the answer with no work, you will
not be given any credit. For especially painful com
Assignment 4, Math for Economics I (28 points)
Due Friday, October 3rd, in recitation
Write neat solutions for the problems below. Show all your work. If you only write the answer with no work, you will
not be given any credit. Please do not forget to:
W
Math for Economics 1 (Math-UA-211)
Spring 2016
Homework 5 Solution
Due: Friday, March 11
at the start of class
Give complete, well-written solutions to the following exercises.
Make sure to write your name and discussion section number, and to staple your
Quiz 1, Math for Economics I (10 Points)
New York University
1. Each part is worth one point.
A What is your recitation section number? Section 8
B What is your TAs name? Chen Li
C What is your TAs email address? [email protected]
2. This question is w
MATH-UA.211 Written HW 1
Due: Tuesday, September 20 or Friday, September 23 during your recitation
Write full, clear solutions to the problems below. It is important that the logic of how you solved these
problems is clear. Although the final answer is im
Assignment 7, Math for Economics I (28 points)
Due Friday, October 31st, in recitation
Write neat solutions for the problems below. Show all your work. If you only write the answer with no work, you will
not be given any credit. Please do not forget to:
Math for Econ I, Homework Assignment 2
Due Tuesday, February 18th
New York University
Please read sections 4.6, 4.8-4.10 and 5.1-5.3.
Please write neat solutions for the problems below. Show all your work. If you only write the answer with no work you
wil
Midterm 2, Spring 2015
Math for Economics I - section 1
New York University
(2 pages)
Read all of the following information before starting the exam:
Show all work, clearly and in order, if you want to get full credit. A correct answer without
supporting
Midterm 2, Spring 2015
Math for Economics I - section 1
New York University
(2 pages)
Read all of the following information before starting the exam:
Show all work, clearly and in order, if you want to get full credit. A correct answer without
supporting
Math for Economics 1 (Math-UA-211)
Spring 2016
Homework 3
Due: Friday, February 19
at the start of class
Give complete, well-written solutions to the following exercises.
Make sure to write your name and discussion section number, and to staple your solut
Math for Econ I, Homework Assignment 6
Due Friday, March 14th
New York University
Please write neat solutions for the problems below. Show all your work. If you only write the answer with no work you
will not be given any credit.
Write your name and reci
Assignment 1, Math for Economics I (28 points)
Due Friday, February 6, in recitation
Write neat solutions for the problems below. Show all your work. If you only write the answer with no work, you will
not be given any credit. For especially painful compu
Assignment 2, Math for Economics I (28 points)
Write neat solutions for the problems below. Show all your work. If you only write the answer with no work, you will
not be given any credit. For especially painful computations, you may use your calculator,
Assignment 6, Math for Economics I (28 points)
Due Friday, October 24th, in recitation
Write neat solutions for the problems below. Show all your work. If you only write the answer with no work, you will
not be given any credit. Please do not forget to:
Math for Econ I-Worksheet 7
New York University
1. Find the critical numbers of the following functions:
(a) g(y) =
y1
y 2 y+1
(b) g(x) = xe2x
2. Find the global maximum and global minimum of the following function on the given intervals:
(a) f (x) = (x2
Name: Solutions
Math 16B: Quiz 2
July 3, 2014
1. (4 points) Sketch the level curves of the function f (x, y) = (y x2 )3 at heights 2, 8
and 20 (on the same axes).
For level curve at height c, we have c = f (x, y) = (y x2 )3 c1/3 = y x2 y =
x2 + c1/3 . Plu
11. Optimization of functions of multiple variables
1. Find the critical points and classify them as local maxima, local minima, saddle points, or none of these.
(a) ay) = 1'2 29w + 3y2 811
Solution: To nd the critical points, we solve fa, = 0 and fy = 0
Math 2263 Multivariable Calculus
Homework 10: 14.7 #20,30
June 28, 2011
14.7#20
2
2
Show thatf (x, y) = x2 yex y has maximum values at (1, 1/ 2) and minimum values at
(1, 1/ 2). Show also that f has infinitely many other critical points and D = 0 at each
MATH-UA.211 Written HW 9
Due: Tuesday, November 29 or Friday, December 2 during your recitation
Write full, clear solutions to the problems below. It is important that the logic of how you solved these problems
is clear. Although the final answer is impor
Math for Economics 1 (Math-UA-le) Spring 2017
Quiz 5(Version A)
Hiday, March 10, 2017
Show all work and justication. Closed book/notes. No calculators allowed.
1. (7 points) Use differentiation ru1e(s) to nd the derivative of each of the following fun