Math for Econ I Homework Assignment 8 -Solutions
New York University
For Section 016: Due in class, Tuesday, November 10
For Section 001: Due in Recitation, Friday, November 13
Please write neat solutions for the problems below. Show all your work. If yo
Class Overview
Chris Jankowski, Math for Economics 1, Lecture 6
August 30, 2013
Chris Jankowski, Math for Economics 1, Lecture 6
Class Overview
Office Hours
My office is 722 Warren Weaver Hall.
Office hours:
1
Tuesdays, 2:00-3:00 PM
2
Wednesdays, 12:00-2:
Math for Econ I, Lecture 6-Homework Assignment 2
Due Friday, September 20th
New York University
From our textbook, read sections 5.1 through 5.4.
Please write neat solutions for the problems below. Show all your work. If you only write the answer with no
Math for Econ I, Lecture 6-Homework Assignment 5
Due Friday, October 18th
New York University
Please write neat solutions for the problems below. Show all your work. If you only write the answer with no work,
Page: 1 (October
26,will
2012
: 50)
[4-5w15-ma
Math for Econ I-Practice Worksheet 1
New York University
1. In a California town, the monthly charge for waste collection is $8 for 32 gallons of waste and $12.32 for 68 gallons
of waste.
(a) Find a linear formula for the cost, C, of waste collection as a
8. Single Variable Optimization
1. The function f is defined for all x by f (x) = 2
4x
.
x2 + 3
(a) Find f 0 (x) and f 00 (x).
(b) Find possible extreme points and inflection points.
(c) Sketct the graph of f .
2. The function f is defined for all x by f
4. Introduction to Derivatives and the Power Rule
1. Compute the derivatives of the following using the power rule:
(a) x6
(b) x22
(c) 3x
2
(d) x
x
2. Compute the following:
(a)
d
b+1
)
dy (Ay
(b)
d
dA
1
A2 A
d
(c) dp
(Ap + B)
3. For each of the following
5. Product, Quotient, and Chain Rules; Implicit Differentiation
1. Compute derivatives for the following functions. You do not need to fully simplify your answers to (c) and (d).
(a) x1 (x2 + 1) x
x+1
(b)
x1
x2
(c)
x+1
(x + 1)(x 1)
(d)
(x2 + 2)(x + 3)
2.
Math for Econ I- Practice Problems
New York University
1. Supply and demand
1. In a California town, the monthly charge for waste collection is $8 for 32 gallons of waste and $12.32 for 68 gallons
of waste.
(a) Find a linear formula for the cost, C, of wa
MATH-UA.211 Written HW 10
Due: Thursday, December 8 in lecture for Tuesday recitations, or Friday, December 9 during your
recitation
Write full, clear solutions to the problems below. It is important that the logic of how you solved these problems
is clea
Math for Econ I-Worksheet 1
New York University
1. In a California town, the monthly charge for waste collection is $8 for 32 gallons of waste and $12.32 for 68 gallons
of waste.
(a) Find a linear formula for the cost, C, of waste collection as a function
Math for Econ I, Lecture 6-Review Problems for Midterm 1
New York University
1. If the price of gasoline is 3 dollars per gallon the demand is 40 gallons and if the price goes up to 5 dollars per
gallon the demand is 20 gallons.
(a) Write the equation for
Math for Econ I-Worksheet 3
New York University
1. If f (x) = x2 + 2x, compute the following limits:
f (x) f (1)
x1
f (2 + h) f (2)
(b) lim
h0
h
f (a + h) f (a)
(c) lim
h0
h
f (a + h) f (a h)
(d) lim
h0
h
(a) lim
x2
2. Find a value of k such that the limi
Math for Econ I Homework Assignment 10
New York University
For Section 016: Due in class, Thursday, December 10
For Section 001: Due in Recitation, Friday, December 11
Please write neat solutions for the problems below. Show all your work. If you only wr
Math for Econ I Homework Assignment 9
New York University
For Section 016: Due in class, Tuesday, December 1
For Section 001: Due in Recitation, Friday, December 4
Please write neat solutions for the problems below. Show all your work. If you only write
Math for Econ I, Lecture 6-Homework Assignment 6
Due Friday, October 25th
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
Math for Econ I, Lecture 6-Homework Assignment 7
Due Friday, November 1st
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
Math
Econ
I - Practice Worksheet 2
Job: bchap1-temp Sheet: 38 Page: 38 (August 15,
2012 for
10 : 14)
[ex-1-4]
New York University
1. In Figure below, which shows the cost and revenue functions for a product, label each of the following:
38
Chapter (a)
One
The Chain Rule (6.8)
Jankowski, Math for Economics 1
October 7, 2013
Jankowski, Math for Economics 1
The Chain Rule (6.8)
Here it is
Proposition
If f and g are differentiable, then so is the function F = f g , and
F 0 (x) = f 0 (g (x) g 0 (x).
Leibniz not
Rates of Change and Derivatives (6.1-6.4)
Jankowski, Calculus I
September 24, 2013
Jankowski, Calculus I
Rates of Change and Derivatives (6.1-6.4)
Overview
Key concept: f 0 (a), called the derivative of f at a.
What it represents: The instantaneous rate o
Math for Econ I, Lecture 6-Homework Assignment 4
Due Friday, October 11th
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.
1. Find the
Math for Econ I, Lecture 6-Review Problems for Midterm 1
New York University
1. If the price of gasoline is 3 dollars per gallon the demand is 40 gallons and if the price goes up to 5 dollars per
gallon the demand is 20 gallons.
(a) Write the equation for
Single Variable Optimization (Chapter 8)
Jankowski, Math for Economics I
October 31, 2013
Jankowski, Math for Economics I
Single Variable Optimization (Chapter 8)
Absolute maximum, minimum
Definition
Let f be a function with domain D.
f (c) is the absolut
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