ECE 2020 Fall 2022 HW10
1.) Find the Laplace transform of the following functions:
a. ��(�) = sin (4�)�(�)
b. ��(�) = ��−2�
�(�)
c. ��(�) = (� − 1)�(� − 1)
d. ��(�) = (� − 1)�(�)
2.) Use partial fraction expansion and the Laplace Transform tables to find the inverse Laplace
Transform for the following functions.
a. ��(�) = �
�2+4�+3
b. ��(�) = 2�
�2+2�+2
3.) In the circuit below, vi(t) = 5e-4000t
cos(3000t) V R = 12Ω, C = 83.3µF, L = 1mH.
a.) Find s.
b.) Find the s-domain equation for voltage across the resistor, VO(s)
c.) Find vO(t)
4.) For the circuit below, the input Vi is a 10V pulse that lasts for 1 second. R = 106Ω, C = 44.4nF, L =
1mH. Assume all initial conditions are zero.
a.) Find the equation for Vi(t)
b.) Find Vi(s)
c.) Find the s-domain equation for voltage across
the capacitor, Vo(s).Find the voltage across the
capacitor, vo(t)
[ a ) h { sin ω t ) :twr
c ( 3 ( Ʃ tu ( t ) } =
h ⼀
TS
4 cttt sC-
) eFcssTuce .
Ts =
a{ ) FS =
s ~+ 16 < { ( t –
7 ) u ( t –
1 | =②
”
‘
⾼ i
< b ) L [ e
–
ats = sta |= c
[ } ) =
e .
s
红
LEtf ( t 1 } = –
ds E [ 3 ) cd ) L ( 5 dit ) } = L ( tuct ) ) – LLu (t ) ]
( ct a
2t
u < t ) } = 皆
< ( sti 1
FB ( S ) =
stzn Fd ( s >=
‘
b …
‘
}
LS [
+
C 品 tan | = simat
CG> FaEb ) = {
+1 ” ) < st 3 )
[ b ) Fn [ { ) =
( s + 1 ^+ 1
= –
z { st) + 点 ( st33
L ”
( ! +
. 1 = cost ”
c +
nau)
= ertost ‘
” c
itowr ) =
coswtuC ☆ ninlkeetcswe
L ”
( Fa ( s > ] =
L
”
(
– {
ast.) + 童 ( st 3 )
} ( ” ( ☆ea ) ^
tw. ) = e
-at sinwt
L +
[ 焱n
+ t
( }
= [
^ { ☆
t” ^+ 1 –
☆
t 1 ” ) z
+ 、 )
⼆⼀定 e ⽐七 {
e 张
( ) usy = Ze –
t
etsintTu cost –
2 ( t )
5 424 S + 22816 .
6
《 ) Wo < s ) =
–
0 .
G 243 –
135 1 .
a ☆
5 + 1000 .
4 st 12* ( 0 b
+ g 2 t8000 s tz5 × 10 c
–
924 c st 500 .
2 ) –
889 .
76 5 GL 4 { ) + 40003 –
87 G .
4
Ca ) { = juw 1 × 10 H =
( st 5 00 .
27 ^
+ s 427 . 79
⼗ 2 [ ☆+ 400033 + 30002
S = j 3000
Vo < t ] = – O
. 代
24 e –
500 .rt
cos ( 3423 . 7 Gt )
– { 859 .
7427.
79
} e
-500 .
rt
cb>÷L
1 s
=
号 sin ( 、 4 r 7 79 h ) + 5 .924 e
–
40 oot
co s C 3000 t ) – (
8700 ) e
-40 ot
亡s ths
83 .
3 × 10
~
6 F sincsoω t 3 )
< s =
e
–
40 t ( 5 . 4 r osot3 1 }-o .2 a sin ( soo .t )
=
LCs ^+ 1
( × 10
~
3 a
–
s 0 at ( o .
9 os ( s 4 L 7 . 9 I t 3 + 0 . 26 sin ( 342799e) }
=
1 × ( 0
” × 83 . 1003 × > 5 ← 1
=
12004 .
8
z +
12 ×<oc
v 。
cs ) = ( 贤 + 2 ) U . ( ∞ )
5 cst 4000 )
5 { { ^+ ( 2 x (
6
] { st 4000 )
72 [ S ^← 2 × 10 + 1000 . 4 S 7 ( } ~+ 8000 s ,
+ 35 x 0 )
= 12 t02004
. 8 tnx 1 o
6
s
‘ ct 80 osti5 xi0
1× 10
–
}
家
[ C ) 2 us ) =÷<
Ca 3 Ui ( t ) = ( 0 { ut ) –
ω< t –
( ) ) Z ( ( 3 ) =
家及1 C ( ) th =
5 uRcLtSht 级
HS 级 E
106 44 .
4 ×<0
61-
Ui ( s ) ,
☆ ( RSE ]
( b 3 vics ) = L τ ( ( o ( U (t ) –
U ( t –
+ ) } U 0 [ s } =
CR / c ] + L
R lo –
coe
‘
s
= 10 C ÷ –
号了 =
分 「 RCLtsLtR S
( 0 E 1 –
e ”
) CO 6 lo –
loe
–
s
= [ –
O < st 106 之 38 . 5
) (
st [ 06218 . 5
) 2 + 16 –
( × 10 ‘ 0
t
( 062 ⻢ 8 .
5
Cs + 100 L38 .
5 ) ^≈ 1 .
1 α 100 + 号 ) C ( –
e
”
」 =
47 xl 0
–
astio ”
s s… =
S
–
1 . 0 % 285× ( 05 dt 11
Uo { t | = [ Lo –
LO ←^ 1 .0621 ∞ 5 × 105 t
Cos C ( × Lo 5 tj } ust ) tl 0 ←
1 . 062 ] 85
The concept of law under Greek and Roman law
The rule of law is a political principle that establishes that all citizens are subject to the same set of legal rules, influencing various societies worldwide. Moreover, the rules can only be decided through a constitutional figure and cannot be nullified by a single individual (Miller, 2010). First established in ancient Greece, the theory of the rule of law originated from Aristotle’s philosophy on whether it was better to be ruled by the best laws or the best man. Aristotle recognised that law is supreme over all other forms of authority and that legal principles should be just towards the people without putting the rich above the poor. He claimed that there might be many forms of government, but the worst would be the governments that rule without the rule of law. Another principle he established was that if individuals ruled without a set law to follow, such leaders would bend the government to their interests and benefits (Waldron, 2020). Greek law established the need for positive and natural laws to exist in harmony without contradicting each other. However, natural law established equality for all, whereas positive law in ancient greek allowed slavery. Moreover, the concept of the rule of law can be found in ancient Greek theories of law such as Nomos, which discussed political power issues such as miss-using power and how that affected the citizens’ rights. The main principles of Greek law are accountability, just law and complete justice. Today, the rule of law established under Greek law is still followed, providing modern societies with a stable system enabling resolutions to all conflicts between citizens. In many nations, including the United States, no one is above the law, including the president, and everyone must follow the rules.
-Rule of law under Roman law
The concept of the rule of law under Roman law was established in ancient Rome, introducing many legal rules from the twelve tables, roman private law and the Justinian code. The rule of law dealt with many issues, such as property, persons, family, crime and punishment. Roman law prioritizes natural law over positive law. The main principles of roman law were strictly only applied to the citizens introducing a significant disadvantage to the foreigners in Rome. Foreigners in Rome were treated horribly as they were unprotected against violent acts towards them, as even their property could be taken away from them in a heartbeat (Stein, 2022). However, Rome had several treaties protecting foreigners with many different foreign states, and the magistrate’s courts applied the system of law of nations (jus gentium) to grant them justice. A law in roman times allowed slavery, as enslaved people were treated as property and were not granted legal authority. Unlike the roman citizens, they would be subject to torture, execution, and sexual exploitation. They would be bought and sold and were unable to get into contracts or legally marry (Shumway, 1901). Civil law (jus civile) was first developed exclusively in roman law, mostly under Justinian compilation. The Justinian law displaced all the existing legislation, eliminating conflicts which left a lasting legal imprint on the Roman Empire. One of the Justinian rules discussed the punishment for robbery, as the penalty for a robber is three times the value of the stolen property. Another guideline addressed is that the amount of money granted to the victim of an attack is determined by the victim’s character and class. Roman legal rules significantly affected the law’s development in many western and eastern civilizations and are still applied today.
-Significance of the Rule of Law
The Rule of Law introduced important principles that affected our lives and civilisations. One of the principles of rule of law is equality before the law, which protects many people from injustice by absurd rules and rulers throughout the years as both the government and the citizens become subject to laws. Without the rule of law many people would not be able to take free consultation in legal matters, as the rule of law implied certain qualifications of laws before they are imposed on society. These qualifications of laws are that the law should be clear, general and accessible to all, the law should be consistent and stable and any changes must be announced. Such characteristics of laws enhance the resolution of legal disputes in jurisdictions. As the absence of accessibility to laws will result in imbalance of powers between parties. Another principle of the rule of law, is that courts must be free from any internal or external influence and judges should be unbiased towards any party either personally or politically. Such a principle ensures that the law is implied fairly.
MGMT 681:GE Innovates from the base of the Pyramid Case Studies
Q1
M&A’s have emerged as the primary mode of foreign market entry for Chinese and Indian as investment levels have been rising among both Chinese and Indian firms. Second, prospective investments are not equally cost effective across different countries so it becomes necessary to undertake strategic diversification through acquisition activities.
Q 2
According to the case study, the information shows that in the Chinese market, multinational acquirers are determined to follow the resource-based view (RBV) to succeed in its operation. On the other hand, Indian multinational acquirers followed industry-based view (IBV). The countries have a preference for building long-term relationships with their clients and also strive to gain good reputation within their industries. However, the two countries are growing have different views and practices among multinational acquirers.
Q 3
First, it is necessary to consider two basic reasons for the criticism. One is that shareholders dislike the irrational spending of their money. The other is that shareholders are worried about losing control of the company’s future when it expands into new markets or acquires other firms. From a financial perspective, if opponents do not have power to force a deal’s cancellation, the shareholders will try to undermine it in every way possible. Therefore, even I feel this acquisition is worth doing, I should expect strong opposition to my plan. For the sake of stakeholders’ trust, I should consider how to handle opposition by using moral leadership.
Ozobot Shape Tracer
Browse to https://games.ozoblockly.com/shapetracer-basic and investigate the “line tracing games” there. After you become familiar with the coding tasks in “Shape Tracer 1,” browse to “Shape Tracer 2” –
https://games.ozoblockly.com/shapetracer-advanced and complete levels 1, 2, and 3. [home for these and others is, https://ozobot.com/create/challenges]
Using a screen capture app (and not your phone or camera), capture your code for each level after you successfully complete it. Ensure both your code and the path traced by the ozobot are visible in the screen capture.
Insert your screen images into a Microsoft Word data file. Save your file with the name assignment 1.3 and upload it here. Be sure your name is in the document and you have labeled the images with the level number.
Homework Assignment 1.3 is worth 10 points and will be graded based upon accuracy and completeness of information along with properly inserting the images into the document.
==================================================================
Using your Ozobot, create code, load it into the robot, and execute it to perform the following:
A – travel in a square
B – travel in two “back to back” triangles [imagine a crude bow tie shape]
C – travel in the shape of an infinity sign [imagine two crude circles back to back]
Upload your code pasted into a document here. You can test out your code before downloading it to your Ozobot (or in the absence of a real robot) by using the simulator https://games.ozoblockly.com/shapetracer-freeform or by using https://games.ozoblockly.com/shapetracer-advanced?lang=en and “ignore” the challenge and just code the assignment
BLDG 3100 Construction Operations
FINAL EXAM
Note: Each Question is worth 5 points = 210 points
True or False
T F Prime Contractors and General Contractors perform the same work.
T F OSHA only regulates safety rules for construction.
T F Heavy Construction involves building construction.
T F Larger earthmoving equipment has stabilized the heavy construction market.
T F Soil classifications are based on the building code.
T F Most materials swell when they are excavated.
T F The shrinkage of a material is most important when excavation is being performed.
T F A cubic yard of bank material weighs less than a cubic yard of loose soil.
T F A backhoe is an excellent general use piece of equipment.
T F A dozer excavates by cutting into the soil and pushing to a stockpile
T F Daily excavate removal is based on the capacity of the trucks.
T F Production during excavation is independent of the bucket size.
T F Trenchless technology is losing popularity due to excessive excavation.
T F Tower cranes are not used more often based on lack of versatility.
T F Owning Equipment is easier than leasing equipment.
T F The higher the concrete strength the more economical it is?
T F Concrete is sprayed with water during the curing process to keep it clean.
T F A low-cost type of compaction method is to allow vehicles to drive on the roadway for an extended period before paving.
Answer the 24 questions below:
- What are three (4) things a construction manager manages?
- List three (3) pieces of equipment used in the rock crushing process.
- What is the difference between aggregate and an admixture?
- What is the formula for concrete?
- What group sets the standards for concrete mixes?
- Why is bituminous concrete a preferred material in the Northeast?
- Why do we use an efficiency factor in production equations? Why is job efficiency important?
- Explain soil “Swell”, why do some site contractors cover the excavate piles?
- How many processes does aggregate typically go through before it is suitable for use?
- What is the relationship between an excavator’s daily capacity and truck hauling?
- What is OSHA and what does it do?
- What is the minimum depth for an excavation support system?
- What is the depth of frost in Massachusetts?
- What happens when the material used in cement concrete are mixed together?
- What are 3 factors that can drive up the cost of concrete?
- When is it more likely that a track boom crane would be used rather than a tower crane?
- What factors must be considered when determining how much weight a crane can lift safely?
- For one working day what costs would you include under the crane crew?
- What factors contribute to loss of efficiency in a hose?
- What makes an excavator so desirable, what ability does it have that changed the earthwork industry?
- What is excavation and why is it needed in building construction? What divisions outline the scope of Earthwork?
- Explain why when you dig a hole and then back fill and it the hole with the soil you had removed there is never enough soil to fill the hole up.
- Explain two different ways that construction managers evaluate production.
- Why is swing depth factor so important when calculating excavator production?
application writing
Post-MBA Plans Essay
This essay is required. Include the essay title “Post-MBA Plans” and your name at the top of
each page. Observe the limit (750 words maximum), use font 10 or 12 and double space. The
essay question is: Tell us your ideas about what lies ahead for you in your career. What are the
gaps or deficiencies currently preventing you from pursuing these potential career paths? How
do you plan to use your time in the Foster Full-time MBA Program to fill these gaps and advance
your career?
———–––—–—————–––—–—————–––—–
Inspiring Experience Essay
This essay is required. Include the essay title, “Inspiring Experience”, and your name at the top
of each page. Observe the limit (500 words maximum), use font size 10 or 12 and double space.
The essay question is: “Please tell us about an experience that inspired or confirmed your
decision to pursue the MBA.”
———–––—–—————–––—–—————–––—–
Optional Essay
Include the essay title, “Optional Essay”, and your name at the top of each page. Observe the
word limit (500 words maximum), and use font 10 or 12 and double space. The essay question
is: “Please include this essay if you have additional information that you believe would be
helpful to the admissions committee in considering your application.
Entry Level Excel
Case Studies
Independent Project
Please answer the following questions. Share screenshots from your work on Excel and/or graphs or other work and email the Excel files as well. This must be your own work only. This is due on December 6th by 11:59 pm EST.
Conducting an Apple focus group survey
The marketing group for Apple plans to conduct a telephone survey to determine consumer attitudes toward a new cell phone that is currently under development. In order to have a sufficient sample size to conduct the analysis, they need to contact at least 300 young males (under age 40), 140 older males (over age 40), 200 young females (under age 40), and 250 older females (over age 40). It costs $2.4 to make a daytime phone call and $3.20 to make an evening phone call (due to higher labor costs). This cost is incurred whether or not anyone answers the phone. The table below shows the likelihood of a given customer type answering each phone call. Assume the survey is conducted with whoever first answers the phone. Also, because of limited evening staffing, at most one-third of phone calls placed can be evening phone calls. How should the marketing group conduct the telephone survey so as to meet the sample size requirements at the lowest possible cost?
Who Answers? | Daytime Calls | Evening Calls |
Young Male | 10% | 20% |
Older Male | 15% | 30% |
Young Female | 20% | 20% |
Older Female | 35% | 25% |
- Formulate and solve a linear programming model for this problem on a spreadsheet.
- Formulate this same model algebraically.
- Use the graphical method by hand to solve this model.
Class Diet Problem
The cafeteria manager for Baruch High School is trying to decide what to feed its students. She would like to offer some combination of milk, cheese, and apples. The goal is to minimize cost, subject to meeting the minimum nutritional requirements imposed by law. The cost and nutritional content of each food, along with the minimum nutritional requirements, are shown below. What diet should be fed to each student?
- Formulate and solve a linear programming model for this problem in a spreadsheet.
Milk (gallons) |
Cheese |
Apples |
Minimum
Daily Requirement |
|
Niacin (mg) | 3.2 | 4.9 | 0.8 | 13.0 |
Thiamin (mg) | 1.12 | 1.3 | 0.19 | 1.5 |
Vitamin C (mg) | 32.0 | 0.0 | 93.0 | 45.0
|
Cost ($) | 2.50 | 0.10 | 0.22 |
- Formulate this same model algebraically.
Bidding for Classes
In the graduate program at Baruch, students bid for electives in the second year of their program. Each student has 100 points to bid (total) and must take two electives. There are four electives available: Management Science, Finance, Operations Management, and Marketing. Each class is limited to 5 students. The bids submitted for each of the 10 students are shown in the table below.
Student |
Management
Science |
Finance |
Operations
Management |
Marketing |
George | 60 | 10 | 10 | 20 |
Fred | 20 | 20 | 40 | 20 |
Ann | 45 | 45 | 5 | 5 |
Eric | 50 | 20 | 5 | 25 |
Susan | 30 | 30 | 30 | 10 |
Liz | 50 | 50 | 0 | 0 |
Ed | 70 | 20 | 10 | 0 |
David | 25 | 25 | 35 | 15 |
Tony | 35 | 15 | 35 | 15 |
Jennifer | 60 | 10 | 10 | 20 |
- Formulate and solve a spreadsheet model to determine an assignment of students to classes so as to maximize the total bid points of the assignments.
- Does the resulting solution seem like a fair assignment?
- Which alternative objectives might lead to a fairer assignment?
Macroeconomics Simulation
For this discussion, play your second run of the Macroeconomics Simulation: Econland (from Harvard Business Review), in which you act as a the chief economic policy advisor for the fictional country of Econland. Select either the Rollercoaster or Stagnationscenario option. You may play the simulation as many times as you like. This will directly support your success in your course project, due in Module Eight.
In your initial post, include an image of your simulation report. (See Module Seven Simulation Discussion Screenshot Instructions PDF.) Then address the following:
- Share your experience in the simulation. In your opinion, which policy decisions were more successful and why?
- Why does the simulation provide you with a global economic outlook for each year? How does an open economy versus a closed economy impact government policy decisions? Use information from the textbook or the news to support your answer.
- At the end of each year, the simulation highlights changes in consumer confidence. Why is the economic indicator “consumer sentiment” relevant for making successful policy decisions? Use news sources to support your answer.
Case Study, Lincoln Park Case
Read the Managing meetings for results Case Study, Lincoln Park Case 10.1 in Chapter 10, and evaluate this case. Among your own observations, include in your analysis answers to the following questions:
- Define the context of the Lincoln Park meeting.
- Were most of the participants on the same page? Who was? Who wasn’t?
- What were Clarke’s expectations for the meeting? Did her preparation for the meeting reflect those expectations?
- Who is the “The Leader” of this meeting using the roles defined on p.116?
- Did other participants appear to act in some of the ways noted on p.116?
- In thinking about your personal experiences on teams (either at work or school), how might Cain’s ideas on the “New Groupthink” improved the team’s performance? Are her suggestions practical?
Write a two page memo from you to Clarke outlining how she needs to improve the way she manages meetings. What does she need to do NOW in order to get the Lincoln Park project back on track?
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