Derivatives of Exponential and
Logarithmic Functions Unit
Assignment
You may choose to complete your mathematical calculations by hand and scan or
take images to upload to the dropbox. To help your teacher review your work,
please try to submit your calculations as a single file document (preferably as a
pdf). If you aren’t sure how to do this, please contact your teacher for assistance.
Important
When answering questions in a mathematics course always be sure to use
the following guidelines to help you do your best:
! Provide full solutions, showing all of your steps.
! Make sure that there is one step or idea per line.
! Use one equal sign per line.
! Make sure that equal signs line up vertically.
! Don’t use self-developed short form notations.
# ” Listen !
Derivatives of Exponential and Logarithmic Functions Unit Assignment 2022-10-17, 9:30 PM
https://lms.virtualhighschool.com/content/vhs3/departments/mat/c…d2lSessionVal=TbEghofnVPdbdngswTdLusNwB&ou=64461&d2l_body_type=3 Page 2 of 3
Note that derivatives must be fully simplified for full marks on this Note that derivatives must be fully simplified for full marks on this
assignment. assignment.
1. Find the derivatives of each of these functions: (2 marks each) marks each)
a. y = ln(4×2 + 4)
b. y = 2x
4
e5x
c. y = 25x+7(ln(5x + 1))
d. y = 4x
3
e5x+x4
2. Use the process of implicit differentiation to find given that
.
dy
dx
x3ey − yex = 0
(4 marks) (4 marks)
3. Use curve sketching methods, sketch the graph of the function given by the
equation . Make sure that you include all steps, charts, and derivations
details.
y = x
2
ex
(10 marks)
4. Use logarithmic differentiation to find the derivative of the function
y = . (2x+5)
3
(5x
2
−2x)
4
√2x+5 (6 marks)
5. The population, , of an island, years after colonization is given by the
function .
P y
P = 250
1+4e−0.01y
a. What was the initial population of the island? (2 marks)
b. How long did it take before the island had a population of 150? (2 marks)
c. After how many years was the population growing the fastest? (3 marks)
d. Using curve sketching methods, sketch the graph of the function. Make
sure that you include all steps, charts, and derivations details. (10 marks) (10 marks)
e. Give a possible explanation for the shape of the curve. (3 marks)
Derivatives of Exponential and Logarithmic Functions Unit Assignment 2022-10-17, 9:30 PM
https://lms.virtualhighschool.com/content/vhs3/departments/mat/c…d2lSessionVal

Two-part assignment not less than 8 pages in total

No plagiarism

Part 1

You are discussing your 401(k) with Dan Ervin when he mentions that Sarah Brown, a rep resentative from Bledsoe Financial Services, is visiting East Coast Yachts today. You decide that you should meet with Sarah, so Dan sets up an appointment for you later in the day.

When you sit down with Sarah, she discusses the various investment options available in the company’s 401(k) account. You mention to Sarah that you researched East Coast Yachts before you accepted your new job. You are confident in management’s ability to lead the company. Analysis of the company has led to your belief that the company is growing and will achieve a greater market share in the future. You also feel you should support your employer. Given these considerations, along with the fact that you are a conservative investor, you are leaning toward investing 100 percent of your 401(k) account in East Coast Yachts stock.

Assume the risk-free rate is 3.2 percent. The correlation between the Bledsoe bond fund and large-cap stock fund is 0.15. Note that the spreadsheet graphing and “solver” functions may assist you in answering the following questions.

1. Considering the effects of diversification, how should Sarah respond to the suggestion that you invest 100 percent of your 401(k) account in East Coast Yachts stock?
2. Sarah’s response to investing your 401(k) account entirely in East Coast Yachts stock has convinced you that this may not be the best alternative. Because you are a conservative investor, you tell Sarah that a 100 percent investment in the bond fund may be the best alternative. Is it?
3. Using the returns for the Bledsoe Large-Cap Stock Fund and the Bledsoe Bond Fund, graph the opportunity set of feasible portfolios.
4. After examining the opportunity set, you notice that you can invest in a portfolio consisting of the bond fund and the large-cap stock fund that will have exactly the same standard deviation as the bond fund. This portfolio also will have a greater expected return. What are the portfolio weights and expected return of this portfolio?
5. Examining the opportunity set, notice there is a portfolio that has the lowest standard deviation. This is the minimum variance portfolio. What are the portfolio weights, expected return, and standard deviation of this portfolio? Why is the minimum variance portfolio important?
6. A measure of risk-adjusted performance that is often used is the Sharpe ratio. The Sharpe ratio is calculated as the risk premium of an asset divided by its standard deviation. The portfolio with the highest possible Sharpe ratio on the opportunity set is called the Sharpe optimal portfolio. What are the portfolio weights, expected return, and standard deviation of the Sharpe optimal portfolio? How does the Sharpe ratio of this portfolio compare to the Sharpe ratios of the bond fund and the large-cap stock fund? Do you see a connection between the Sharpe optimal portfolio and the CAPM? What is the connection?

Part 2

You have recently been hired by Master Tools (MT) in its relatively new treasury management department. MT was founded eight years ago by Martha Masters. Martha found a method to streamline the manufacturing process, resulting in a cheaper tool. The tools manufactured by MT are designed for the mass market and sold primarily through retail. The company is privately owned by Martha and her family, and it had sales of $97 million last year.

MT primarily sells to do-it-yourself (DIY) customers who use the tools for personal projects, although it does sell through various online marketplaces. As a result, the company’s sales are price sensitive. When the company had sufficient capital, it would expand production. Relatively little formal analysis has been used in its capital budgeting process. Martha has just read about capital budgeting techniques and has come to you for help. For starters, the company has never attempted to determine its cost of capital, and Martha would like you to perform the analysis. Because the company is privately owned, it is difficult to determine the cost of equity for the company. Martha wants you to use the pure play approach to estimate the cost of capital for MT, and she has chosen Snap-On Incorporated as a representative company. The following questions will lead you through the steps to calculate this estimate.

1. Most publicly traded corporations are required to submit 10-Q (quarterly) and 10-K (annual) reports to the SEC detailing their financial operations over the previous quarter or year, respectively. These corporate filings are available on the SEC website at www.sec. gov. Go to the SEC website, follow the “Company Filings” link, and search for SEC filings made by Snap-On (SNA). Find the most recent 10-Q and 10-K and download the forms. Look on the balance sheet to find the book value of debt and the book value of equity.
2. To estimate the cost of equity for SNA, go to finance.yahoo.com and enter the ticker symbol “SNA.” Follow the various links to find answers to the following questions: What is the most recent stock price listed for SNA? What is the market value ofequity, or market capitalization? How many shares of stock does SNA have outstanding? What is the forward annual dividend? Analysts have estimated a 6 percent growth rate for dividends. What is the cost of equity for SNA using the DDM? What is the beta for SNA?  Now go back to finance.yahoo.comand follow the “Bonds” and “U.S. Treasury Bonds Rates” links. What is the yield on 3-month Treasury bills? Using the historical market risk premium, what is the cost of equity for SNA using the CAPM? What is your final estimate for the cost of equity?
3. Go to www.reuters.comand find the list of competitors in the industry. Find the beta for each of these competitors and then calculate the industry average beta. Using the industry average beta, what is the cost of equity? Does it matter if you use the beta for SNA or the beta for the industry in this case?
4. You now need to calculate the cost of debt for SNA. Go to finra-markets.morningstar. com/BondCenter,enter SNA as the company, and find the yield to maturity for each of SNA’s bonds. What is the weighted average cost of debt for SNA using the book value weights and the market value weights? Does it make a difference in this case if you use book value weights or market value weights?
5. You now have all the necessary information to calculate the weighted average cost of capital for SNA. Calculate the weighted average cost of capital for using book value weights and market value weights assuming 21 percent marginal tax rate. Which cost of capital number is more relevant?
6. You used SNA as a representative company to estimate the cost of capital for MT. What are some of the potential problems with this approach in this situation? What improvements might you suggest

• Answer the following question by writing a 1–2 page response.
  • Why eyewitness testimony is not reliable?

• You should respond by providing several science-backed reasons and exploring them as well as you can. Develop your responses and explain them properly.
• Provide at least one real example of when an eyewitness testimony resulted in false conviction.
• Use at least 2 quality resources in writing your essay (excluding our textbook). A quality resource has many features but at a minimum it has in-text citations and a reference list. If a source does not cite its own sources and has no reference list, usually it is not a very reliable source.
• Besides the two mandatory good quality sources, you may use as many resources as you want (articles, blogs, books, videos and documentaries, etc.). You may receive bonus points if you use more than 2 quality resources.
• Do not use Wikipedia
• Using a peer-reviewed academic journal article is not mandatory, but you will receive bonus points if you use such articles as your sources.
• Use Font 12 Times New Roman, double spaced.
• A good length for the essay is about a page and half, excluding the reference list. Do not write more than 2 pages or less than 1 page.
• Title page is not required.
• Do not copy/paste or quote anything. Paraphrase instead.
• Provide in-text citations and a reference list for all the sources that you use.
• Follow APA 7 style in your in-citations and reference list.

a program in ”labtalk” of ”originlab” application that calculates the ratio between a column and a value of a certain row of that column, for example: ”col(b)/[line 1400 from col(b) )]” and then I want it to print the value in another woorkbook and I want this column of this new woorkbook, where the result will be printed, to have a name called ”result”. Note: I’m working with ma

Complete a 2-3-page review of one of the videos from last week, “The Surprising Workforce Crisis of 2030”. For this paper, please follow the format below:

https://youtu.be/ux1GxExRUUY

1. Write a summary of the video’s highlights.
2. Share at least one particular point that you strongly agree with and why?
3. Share what point you may not be in total agreement with and why?
4. If you were present for the presentation, what two questions would you ask as a follow-up?
5. From a human resources perspective, what recommendations would you make to your organization?
6. Use references to help substantiate your point

Abstract

The Democratic-Republican National Convention (DRNC) is a large convention that attracts tons of people from all across the world. This event can become chaotic and dangerous within seconds if not properly organized. There are hundreds of people who attend this convention and the area it is held is quite large. Every law enforcement there is on high alert waiting for a protester to break bad. So when a small child who is 8 years old goes missing will defiantly cause some panic. This paper will discuss what the first responding City of Miami police officers should do along with creating a BOLO (be on the lookout) for the juvenile. It will also discuss if the officer questioning the parents for dental records was appropriate at this time due to most juveniles returning within the hour. This paper will also answer if and when the Command Post for the DRNC should be notified of the missing juvenile and if an Amber Alert should be issued. Along with what other actions would be appropriate in this situation.

Keywords: DRNC, missing, juvenile, law enforcement

DRNC

The Democratic Republican National Convention is a very large convention that attracts many people from all around the world. It also attracts those who are very passionate about their belief and want to protest their beliefs. “Traditionally conventions draw thousands of delegates, donors and party leaders to the host cities for several days of festivities” (Norwood, 2020, pg 1). Needless to say this is a large event with many people and there is a risk for potential dangers around every corner. So when an eight-year-old boy goes missing and has been missing for over five hours. When the first responding City of Miami police officer arrives they obviously need to talk to the family to gather information before they start informing others about what’s going on. First talk to the parents about the child, then talk to the person who last saw he male which would be the sisters. The officer should ask questions about when was the last time you saw him? What was he doing and/ or where was he going? What was he last seen wearing? How did he leave (car, bicycle, foot, etc.)? His height, weight, hair color, hair length, eye color, scars, marks, and tattoos. Does he have any mental disabilities and did he make any suicidal statements before leaving. Also is there any trackable technology that the juvenile has on his person. Depending on the agency or department the officer can ask for the juvenile’s social security number and where the child was born. Then from there your BOLO (be on the lookout) can be issued. Even though there is a good chance the child may return it is always best to get all of this information.

When the officer asked the mother for the dental records of the child that has only been missing for five hours, was not appropriate at this time. “Dental records and radiographs are generally sought in cases when conventional identification such as visual or by fingerprints is not possible” (Collins, 2004, pg 3). Dental records are mainly for when the body can no longer be identified by visual due to the body being decomposed, no fingerprints available, and/ or the body being in pieces. Due to this juvenile only being missing five hours this question was no appropriate and can make the parents panic more than they already are. This is the type of question that should be asked after 48 hours of the child missing.

As soon as the information is gathered by the law enforcement officer the DRNC Incident Command Post should be notified of the missing juvenile. The more people that is aware that the child is missing means there are more people on the lookout for him. Another reason the command post should be notified is due to the child being from out of state the child doesn’t know where they are, they know nothing about the area. At this point you have an endangered child.

An Amber Alert is an alert that is broadcasted on new medias and/ or the electric roadway signs, these alerts contain information about the missing juvenile who is kidnapped and/ or in danger of great bodily injury or death. For this case due to the circumstances law enforcement should not issue an Amber Alert. The reason being is that at this time there is no belief that the child has been abducted and is not in grave danger to great bodily harm or death. Child usually in 99% of the cases return within one hour of the parents reporting them missing. There is a risk factor due to the juvenile being in an unfamiliar place does raise the bars higher when it comes to a juvenile being endangered. Imagine being eight years old and being lost in a city you’ve never been in. This would make any child panic especially if they have wandered outside of the hotel.

Being assigned this case the first steps that would be taken is talk to the parents and figure out their basic information. Then speak with the siblings due to them being the last ones to see the brother. Go back and speak with the parents and get information on the son (date of birth, SSN, scars, marks, tattoos, any diagnosis). A BOLO should be issued once all information is gathered. Then meet with hotel security and review their surveillance footage to see if they can locate the juvenile to try and get a clothing description or a direction of travel. If it is seen the juvenile left of foot, k9 should be contracted to try and do a track. Air should also be notified do to the time frame to help in locating the juvenile. At this time an Amber alert is not necessary and asking for dental records is not necessary. Notifying the surrounding agencies to be on the lookout for the juvenile. Hopefully once all is in place and every piece of information is broadcasted out, the juvenile will be located. There are many steps for getting a juvenile entered into NCIC/FCIC as missing and this notified surrounding counties of the missing juvenile. Having patrol units flood the area in attempts to locate the juvenile would help as well. Being in an unfamiliar city is very scary and dangerous for a juvenile because they are unsure where to go for safety. The siblings should have never let the subject roam the hotel alone knowing the possibilities of something bad occurring.

Conclusion

At the end of the day not every scenario is the same and no call should ever be treated the same. To be effective and to be able to get the proper people notified officers must first ask the appropriate and pertinent questions to gather information. In this event the child is missing in an unfamiliar environment with a lot of people who are present for the convention. There are a lot of dangers that are presented and should be handled accordingly by notifying the correct people. If officers do their job effectively, they must gather the correct information as soon as possible and get it

Assignment #1 Reflection journal

This week’s template topic is Free-market Reproduction, often called ‘designer babies.’ So what you will be discussing is the morality of the free market in determining the gender, intelligence, height, etc of a baby with the ability of genetic and IVF manipulation for those who have enough $.  So in a way, this is similar to the Eugenics week but instead focuses on the free market aspect of the capitalism aspect as well as the general ability to design a baby. Template will be uploaded

http://roomfordebate.blogs.nytimes.com/2009/12/29/the-baby-market/

Assignment #2 Discussion

Stem cells are undifferentiated, primitive cells with the ability both to multiply and to differentiate into specific kinds of cells. Stem cells hold the promise of allowing researchers to grow specialized cells or tissue, which could be used to treat injuries or disease (e.g., spinal cord injuries, Parkinson’s disease, Alzheimer’s disease, diabetes, strokes, burns).” (Slevin, 2010)

Choose ONE of the following issues and support or reject it with Virtue Ethics and post to its thread with supporting evidence. Discuss what you feel are the potential benefits of stem cell research for Alzheimer’s patients and their families.

1. Share your perspective on the stem cell debate regarding donation of surplus embryos to couples for “embryo adoption.”
2. Why is the task of disposing unused frozen human embryos different from disposing of other medical tissue?
3. Discuss why you think embryonic stem cell research “crosses a moral boundary.”

PM Project/Presentation– Failed Project – 200 points

You are to create a narrated PowerPoint presentation that lasts between 8-10 minutes.The topic should be on a failed IT project.There are many to choose from. The presentation should be on a topic pre-approved in a previous week.

A general guideline for your presentation:

• Title
• Intro to Project
• Background
• Problems that occurred
• Time line
• Outcomes to Project and those involved
• Reasons for the problems/possible solutions or mitigating factors
• Review and Lessons Learned

This is a GENERAL outline.Every Project won’t fit into this guideline.

You also need to create a 1 page (1 sided) handout in Word or Pdf format that would accompany your presentation.

Be careful when you create your PowerPoint so that all audio files and/or graphics are included in the PowerPoint file and not external links.To test this you might want to take the PowerPoint file to a different computer and see if it works properly.

The PowerPoint and handout files need to be uploaded to the appropriate Discussion forum before the due date.

Grading: 200 points total

80 points on completeness and content in the PowerPoint

40 points of the format of the PowerPoint

40 Points on the narration

20 points for the handout

20 points for overall effectiveness