NATIONAL UNIVERSITY OF SCIENCES AND TECHNOLOGY (NUST)
Title: Linear Algebra and Ordinary Differential Equations
Course Code: MATH-121
Credit Hours: 3
Text Books: (a) Dennis G. Zill and Michael Cullen, Differential Equations (3rd Edition)
(b) E. Kreyszig,
Problem 01
A point charge q1 = +2.60 C is held stationary at the origin. A second point charge q2 =
-4.40 C moves from the point x = 0.130 m, y = 0 to the point x = 0.290 m, y =0.290 m. How
much work is done by the electric force on q2?
A point charge wit
10/03/2015
Chapter8Homework
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Tuesday,
ME 322 Mechanical Engineering Thermodynamics
Spring 2016
HOMEWORK #14
Special Problem 14-1: A hydroelectric power plant discharges 200 cubic feet of water per
second. If the elevation difference between the inlet and the outlet is 15 ft and the
temperatur
Problem 01
A flat sheet is in the shape of a rectangle with sides of length 0.400 m and 0.600 m. The sheet is
immersed in a uniform electric field of magnitude 90.0 N/C that is directed at 23.0 from the
plane of the sheet (figure below). Find the magnitud
Marketing Principles
[MKTG300; Dr. Carter]
* LEARNING ACTIVITY #1 (15 points) *
(Complete as a Group of 5 max or Individually)
> EXTENDED DUEDATE TUESDAY January 26th @ 11:59PM BY EMAIL <
INTRODUCTION
This is the first Learning Activity using the Test-Dri
Problem 1
A 27.0-F parallel-plate capacitor is connected to a 15.0-V battery. After the capacitor is
fully charged, the battery is disconnected without loss of any of the charge on the plates.
a) A voltmeter is connected across the two plates without disc
2
x=187,50025 p
dx
=25 (2 p )=50 p
dp
p
dx
x
p
=
=
(50 p )
2
dp
187,50025 p
=
50 p 2
187,50025 p2
a)
For unit elasticity of demand,
1=
50 p 2
187,50025 p 2
2
187,500+25 p =50 p
2
25 p 2+50 p2=187,500
2
75 p =187,500
p2=2,500
p= 2,500=$ 50
Hence, it is pro
We are given that
x=187,50025 p
2
Differentiating wrt, p we get
dx
=25 (2 p )=50 p
dp
Using definition of price elasticity of demand,
p
dx
x
p
=
=
(50 p )
2
dp
187,50025 p
=
50 p 2
187,50025 p2
a)
For unit elasticity of demand,
1=
50 p 2
187,50025 p 2
2
1
X 410 Business Applications of Calculus
PROBLEM SET 2
A Problem Set in 5 Parts [94 points]
[Extra Credit Note: Several parts of this Problem Set PS provide optional Extra
Credit opportunities. Solving any of these problems is not required. Credit for a co
X 410 Business Applications of Calculus
PROBLEM SET 1 [100 points]
[Extra Credit Note: Several parts of this Problem Set PS provide optional Extra Credit
opportunities. Solving any of these problems is not required. Credit for a correct solution
applies o
X 410 Business Applications of Calculus
PROBLEM SET 1 [100 points]
[Extra Credit Note: Several parts of this Problem Set PS provide optional
Extra Credit opportunities. Solving any of these problems is not required. Credit
for a correct solution applies o
X 410 Business Applications of Calculus
PROBLEM SET 1 [100 points]
PART I
As manager of a particular product line, you have data available for the past
11 sales periods. This data associates your product lines units sold x and
total PROFIT P results for t
X 410 Business Applications of Calculus
PROBLEM SET 1 [100 points]
[Extra Credit Note: Several parts of this Problem Set PS provide optional Extra
Credit opportunities. Solving any of these problems is not required. Credit for a
correct solution applies o
Your Divisions Chief Data Analyst just left for a new career growth opportunity. Your
Division manager, realizing that some of the Divisions Educational & Training funds are
being used to reimburse you for this current mathematical applications class, ask
X 410 Business Applications of Calculus
PROBLEM SET 2
A Problem Set in 5 Parts [94 points]
[Extra Credit Note: Several parts of this Problem Set PS provide optional
Extra
Credit opportunities. Solving any of these problems is not required. Credit for a
co
X 410 Business Applications of Calculus
PROBLEM SET 1 [100 points]
[Extra Credit Note: Several parts of this Problem Set PS provide optional Extra Credit
opportunities. Solving any of these problems is not required. Credit for a correct solution
applies o
X 410 Business Applications of Calculus
PROBLEM SET 1 [100 points]
[Extra Credit Note: Several parts of this Problem Set PS provide optional Extra
Credit opportunities. Solving any of these problems is not required. Credit for a correct
solution applies o
X 410 Business Applications of Calculus
PROBLEM SET 1 [100 points]
[Extra Credit Note: Several parts of this Problem Set PS provide optional Extra
Credit opportunities. Solving any of these problems is not required. Credit for a
correct solution applies o
X 410 Business Applications of Calculus
PROBLEM SET 2
A Problem Set in 5 Parts [94 points]
[Extra Credit Note: Several parts of this Problem Set PS provide optional Extra
Credit opportunities. Solving any of these problems is not required. Credit for a co
X 410 Business Applications of Calculus
PROBLEM SET 2
A Problem Set in 5 Parts [94 points]
[Extra Credit Note: Several parts of this Problem Set PS provide optional Extra
Credit opportunities. Solving any of these problems is not required. Credit for a co
Your Divisions Chief Data Analyst just left for a new career growth opportunity. Your
Division manager, realizing that some of the Divisions Educational & Training funds are
being used to reimburse you for this current mathematical applications class, ask
X 410 Business Applications of Calculus
PROBLEM SET 1 [100 points]
[Extra Credit Note: Several parts of this Problem Set PS provide optional
Extra Credit opportunities. Solving any of these problems is not required. Credit
for a correct solution applies o
X 410 Business Applications of Calculus
PROBLEM SET 1 [100 points]
[Extra Credit Note: Several parts of this Problem Set PS provide optional
Extra Credit opportunities. Solving any of these problems is not required. Credit
for a correct solution applies o
X 410 Business Applications of Calculus
PROBLEM SET 1 [100 points]
[Extra Credit Note: Several parts of this Problem Set PS provide optional Extra
Credit opportunities. Solving any of these problems is not required. Credit for a
correct
solution applies o
X 410 Business Applications of Calculus
PROBLEM SET 1 [100 points]
[Extra Credit Note: Several parts of this Problem Set PS provide optional Extra
Credit opportunities. Solving any of these problems is not required. Credit for a
correct
solution applies o
X 410 Business Applications of Calculus
PROBLEM SET 1 [100 points]
[Extra Credit Note: Several parts of this Problem Set PS provide optional
Extra Credit opportunities. Solving any of these problems is not required. Credit
for a correct solution applies o
X 410 Business Applications of Calculus
PROBLEM SET 2
A Problem Set in 5 Parts [94 points]
[Extra Credit Note: Several parts of this Problem Set PS provide optional Extra
Credit opportunities. Solving any of these problems is not required. Credit for a
co