Practice
Problems
Exam-2
1. The presence of price floors in a market usually is an indication
that:
a) there is an insufficient quantity of a good or service being
produced.
b) the forces of supply and demand are unable to establish an
equilibrium price.
ECON 102 FINAL Cheat Sheet
Ch. 4:
Divya Tankasala
inputs
Consumer surplus: willingness to pay for a goodmarket price
Producer surplus: market price marginal cost of
production of a good
Percent change in price from a shift in demand (or supply)
Percent ch
Divya Tankasala
ECON 102
Exam Cheat Sheet
Elasticicity Rule: If two linear demand (or supply) curves run through a common point, then at any given quantity, the curve that
is more flatter is more elastic.
Elasticity of Demand:
Less Elastic
More Elastic
Fe
ECON 102 MIDTERM 3 CHEAT SHEET
Divya Tankasala
Test Questions (Chapter 8):
20. When a country that imports a particular good imposes an
import quota on that good,
b. producer surplus increases and total surplus
decreases in the market for that good.
21. I
1. Which of the following illustrates the concept of external cost? a) Margaret purchases all her food and clothing in the big city outside her residence. b) A small business owner frequently buys raw materials by using her bank's line of credit. c) Raymo
ECON 102
Professor Jose J Vazquez
Exam-1
2011
FORM D
Please choose the best answer.
For all questions, only consider the
change(s) implied by the question while holding all other things
equal.
PLEASE READ ALL QUSTIONS CAREFULLY; MANY OF THEM ARE NOT
EXACT
ECON 102
Professor Jose J Vazquez
Exam-3
2011
FORM D
Please choose the best answer.
For all questions, only consider the
change(s) implied by the question while holding all other things
equal.
PLEASE READ ALL QUSTIONS CAREFULLY; MANY OF THEM ARE NOT
EXACT
1
Lecture 10
Example 1 (Continue) Consider a population P (t) of unsophisticated animals that rely solely on chance of encounter to meet mates for reproductive
purposes. We can assume that such encounter occurs at a rate that is proportional to the produc
1
1.1
Lecture 11
Escape velocity
What initial velocity is needed to escape the Earth? Here we give the answer
on that question. We have
dv
=
dt
GME
,
y2
where y is the distance from the body to the center of Earth.
By the Chain Rule,
dv
dv dy
dv
=
=v :
dt
Question 2
Bundle of benefit definition
Consider total customer value total customer cost
customers want highest customer delivered value
Total value total cost
define customer value
Eg product service personnel and image value
Cost eg monetary cost tim
Risk management
System maintenance
In order to find the best partner for the pet wedding, we have to provide an excellent
matching platform for our clients. In this way, our platform and app will be our
primary channels to attract our customers. Besides,
Introduction to Financial Management Assignment 1
*
(1)
(2)
(3)
(4)
(5)
(6)
(7)
Please submit the assignment via the assignment collection box at FTC.
The deadline for the assignment is 5:00pm, Friday, 5 April 2013. NO late submission will be
accepted.
St
Conclusion of our project
Minimum wage law seems wonderful which strives for everyones advantage
and helps people to improve their living standard. It actually did provide some people
incentives to work and narrow the income gap. However, the idea is quit
Ch. 9 Notes: Externalities:
Externalities : costs or benefits of product which fall on bystanders
Market equilibrium maximizes consumer producer surplus (gains from trade), but social surplus
(everyone elses surplus included) also matters.
PHYS 211
Divya Tankasala
Midterm 2 Study Guide
UNIT II CONSERVATION LAWS
CHAPTER 7: WORK and KINETIC ENERGY
Topics covered:
Kinetic Energy
Work
Work-Energy Theorem (Center of Mass Equation)
Dot-product rules
The integral of the force over the displace
1
Lecture 13
We have
If the functions f (x) and g (x) ; a < x < b; are linearly dependent
on the interval a < x < b, then their Wronskian vanishes, for every
x; a < x < b :
W (f; g ) jx = 0; a < x < b:
If Wronskian of functions f and g is not zero at leas
1
Lecture 14
Example 1 f (x) = cos x; g (x) = sin x; 0 x . Here, intuitively, f (x) and g (x) should be independent. To justify our guess, consider f (x) + g (x) 0 ) cos x + sin x = 0; 0 x In particular, for x = 0; + So, we have sin x = 0; 0 Take x = =2.
1
Lecture 15
Example 1 (Continue) Consider the following initial value problem:
y 000
6y 00 + 11y 0
6y = 0;
y (0) = 0; y 0 (0) = 0 and y 00 (0) = 3:
General solution is given by
y (x) = C1 ex + C2 e2x + C3 e3x :
Now we employ the initial conditions: y (0)
1
Lecture 16
Recall that we are looking for solution in the form y = u (x) er0 x . We showed
that
u(m0 ) er0 x = 0,
whence
u(m0 ) (x)
0 ) u (x) = C0 + C1 x + : + Cm0 1 xm0 1 :
So, if r = r0 is a root of multiplicity m0 , then
y (x) = C0 + C1 x + : + Cm0 1
1
Lecture 17
Finally, we remark that, as in the case of a real r, for complex r;
D [erx ] = rerx :
Example 1 Let r = a + bi. Then
d ax ibx
d (a+bi)x
=
e
ee
dx
dx
d ax
=
[e (cos bx + i sin bx)]
dx
= aeax (cos bx + i sin bx) + eax ( b sin bx + bi cos bx)
=
1
Lecture 21
1.1
Mechanical vibrations
A mass m is attached both to a spring (that exerts the force FS = k x) and
to a dashpot (shock absorber) that exerts a force FR = cv , where v = x0 .
Newton Second Law,
s
mx00 =
kx
cx0 )
mx00 + cx0 + kx = 0.
If we ha
1
Lecture 19
Example 1 (Continue) Two pendulums are of length L1 and L2 , and located at the respected distances R1 and R2 from the center of Earth, have
periods p1 and p2 . Prove that
p
R 1 L1
p1
p:
=
p2
R 2 L2
Solution.
00
g
+
= 0 ) !0 =
L
Because
r
g
:
1
1.1
Lecture 20
Non-homogeneous equations with constant coe cients
We consider the dierential operator
L = D n + p1 D n
1
+ p2 D n
2
+ : + pn 1 D + pn D0 ;
where pj = const; j = 1; 2; 3; :; n.
Recall that a non-homogeneous ODE with constants coe cients i
1
Lecture 21
Example 1 (Continue)
L [y1p ] = 2 cos 3x; L [y2p ] = 3 sin 3x:
Then
y1p (x) = x (A1 cos 3x + B1 sin 3x) and
y2p (x) = x (A2 cos 3x + B2 sin 3x) )
yp (x) = y1p (x) + y2p (x)
= x (A1 cos 3x + B1 sin 3x)
+ x (A2 cos 3x + B2 sin 3x)
= x [(A1 + A2
1
1.1
Lecture 22
Variation of parameters
Let
L [y ] = y 00 + py 0 + qy;
where p and q are constants. Consider non-homogeneous equation:
L [y ] = f
and complimentary equation
L [y ] = 0:
Let y1 and y2 be a fundamental set of solutions of the complimentary
BIOE 120
Divya Tankasala
Project Proposal:
Part I
Describe a design project that you would like to do.
Can be an invention of an instrument or a device for clinical applications or a gadget for
home care or any other things that qualify as bioengineering
PHYS 211
Divya Tankasala
Midterm 2 Study Guide
UNIT II CONSERVATION LAWS
CHAPTER 7: WORK and KINETIC ENERGY
Topics covered:
Kinetic Energy
Work
Work-Energy Theorem (Center of Mass Equation)
Dot-product rules
The integral of the force over the displace
1
Lecture 12
We can rewrite the denition of linear dependence as follows
Denition 1 Functions f (x) and g (x) ; a
x
b; are said to be linearly
dependent on the segment [a; b] if there are constants and such that 2 + 2 6=
0 and
f (x) + g (x) = 0, for every