Monthly Archives: August 2015


The project is to create a PowerPoint presentation (or other multimedia presentation) on a legendary figure, place, item, or event from world literature (1600 CE or earlier).

The required slides are:

1) Title slide
2) Basic introduction to the event, place, or figure as he/she/it appears in legend; a focused statement on why this event, place, or figure is interesting and important as a cultural phenomenon (look on this as a sort of “thesis” for the project)
3) Overview of the major versions of the legendwhat authors are known for writing versions of the story in which the event, place, or figure is found? Are there any other major artistic works (paintings, murals, operas, symphonies) related to the event, place or figure? It is all right in this section to discuss works after our course end-date (approximately 1600 CE).
4) Discussion of whether or not the figure/place/event is known in different cultures
5) How this figure, place, or event has survived into modern times or notare there modern (19th, 20th, 21st century) re-workings of the story?
6) Conclusion
7) MLA Works Cited List and Bibliography of Works Consulted (if anyone used works for basic information that they did not cite)

Note that all writing on the slides should be original; the projects will be run through Turnitin upon submission, and all distinctive matching information caught by Turnitin should be formatted as a quotation. DO NOT copy-paste material without immediately marking it as a quotation and citing it. Any multimedia (art, music) inserted or linked in the forum should also include full bibliographic information.

Required sources:
at least 5 secondary/critical sources; 2 must be peer-reviewed
at least 1 primary source (literary text, artwork) written/created before 1600
DO NOT rely on Wikipedia or as major resources for the project. These can be useful as effective ways to get started, but only use them as a springboard to other stronger resources. The bibliography and further reading sections of Wikipedia pages can be particularly helpful in finding additional sources.

Shareholders Value and Corporate Governance

Subject Name

Lecturer’s Name

Shareholders Value and Corporate Governance

Due date

Date Submitted









                                                Shareholders Value and Corporate Governance


Shareholder value ideologies dominate the modern business world. Managers and directors of companies have to come up with corporate governance policies that seek to maximize the shareholders wealth.
In a publicly run company, the equity belongs to the shareholders. There is the thinking in business that goal of a public company is to maximize the wealth of the shareholder and that shareholder wealth is best measured by share price. Shareholder value, therefore, includes dividends that actually augment it, while the issue of shares lower shareholder value (Brandes, 2013)

Corporate governance involves the processes and relations by which corporations are controlled and directed. It involves balancing the interests of shareholders in a company and the community at large (Bullard, 2011). It involves every aspect of management from strategic plans of action and internal controls to performance measurement and corporate disclosure. It is not adequate for a corporate to be just profitable, but it also requires demonstrating good citizenship through environmental awareness, ethical behavior and good governance practice (Billingham, 2013). The paper aims to examine the impact of political and social influences on corporate governance and shareholder value.

                                    Corporate governance and shareholder value
The principle goal of corporate management is to maximize the interests of shareholders in the company based on various assumptions of the relationships among corporate participants, how financial markets work and the relationships among the people. However, these assumptions may not entirely be factual, as the shareholder is neither the owner of the company nor the claimants with securities. Therefore, if managers entirely focus on the shareholder, they could not be doing a good job running these corporations (Bullard, 2011).
In publicly run corporate, decisions and policies are passed by the shareholders the annual general meetings. This leaves managers with no option but to come up with other ways to run these corporations, taking into consideration the shareholders. They have to run these public firms with the focus on raising the stock price. In the process, they end up selling key assets, firing loyal employees, and squeeze the workforce that remains. They have to please the”owners” with stock options and expensive pay packages (Feenstra, 2014). This is solely done to maintain their positions in the organizations. Even so; even if many directors may not be willing to implement such strategies, arguing that a single focus on the share price may not serve the interests of society, the company or shareholders.
The fact that shareholders and option holders can often be made better off at the expense of creditors and employees and others with firm investments at risk in the corporation means that, it is not true that maximizing the overall value created by the firm.

In a basic organizational setting, the players in the market have various objectives to accomplish, for instance, shareholders have this objective of satisfying their wants, therefore questions like, if the managers have the ability to meet their objectives, managers also have to deal with policies like takeovers for the company are viable in the performance of company or for economic growth.

The political impact of corporate governance
In the modern corporations, ownership, shape and distribution of authority are interlinked with the general public. This is because different groups have an interest in particular outcomes that affect large organizations. Interest groups often seek to obtain via politics both immediate results and institutions that promote their business interests and preferences.
Politics affects corporate governance in three different market areas that are often contested i.e. financial markets, labor markets, and product market indirectly. Owners seek mechanisms that minimize agency costs; managers seek autonomy, authority and prestige while the workers seek job stability and good wages (Bullard, 2011). These three forces interact inside the firm and in the economy and content in political fields.
Differences among corporate governance regimes in many countries are determined by policies concerning labor protection, and orientation to shareholders value, and product market conditions.
In examining the three vital intersections between politics and the modern corporation, we look at how the politics of organizing financial institutions affects the flow of capital firms and, hence, the power and authority of shareholder owners (Feenstra, 2014). The way in which capital flows through an organization determines the ownership structure and with it the distribution of governance in the large firm. Barring financial institutions from owning stock on a large scale to take an extreme example will result in them being unable to serve as counterweight managerial and board authority.
Because the flow and organization of capital attract political attention, corporate structure can be a consequence of politics. Managers have considerable political influence that they use to shape the rules governing corporate finance and capital markets. This can be witnessed through hostile takeovers, where an investor buys most of the dispersed stock of a given firm to take control of the targeted firm (Bullard, 2011). Managers and directors often opt to use hostile methods to stop the takeovers; this often involves political favors and compromises.

                        Cultural impact on corporate governance and shareholder value
Ethical leadership is necessary and is in line with corporate governance in general. There is a growing concern for ethical values in the business and more so for the modern corporate governance concerning shareholder value. A good manager or director should establish a good interrelationship between corporate governance and business ethics, take into consideration that the manager or director and the corporate governance board must be responsible for the ethical guideline to follow, and establish an ethical culture through the symbolic leadership of the firm’s corporate governance.

Culture refers to set values that are followed by a specific group or members of a specific organization; they describe the way things are done to solve internal and external problems. This is achievable when they have the majority of the executive members following these values. This is because a problem may arise if the senior management decides to formulate a strategy without involving the middle managers and others.
In reinforcing the argument that socially responsible behavior is good for business, not just in ethical terms but also in financial terms i.e. social responsibility is good for business as well as its stakeholders. Ethical behavior and concern for people or the environment has a positive correlation with corporate performance (Feenstra, 2014). Governance, on the other hand, is a global issue affecting organist ions in several countries and business sectors.
Although there is a link between corporate governance and social responsibility, this relationship is not clearly defined; the principles of corporate governance are based on transparency, accountability, responsibility, and fairness (Brandes, 2013). Therefore it is the manager’s responsibility to ensure that the principles of corporate governance are direct linkage with the society, in order to achieve sustainable value, achieve the firm’s goals, increase shareholder satisfaction, achieve efficient and effective management, providing an early warning system against all risk etc.
Organizational culture promotes transparency in the hierarchy of corporate governance. If a firm follows strict laid down regulations and values, transparency may be achievable. But again this must be rooted in discipline from the members of an organization, it involves commitment from the senior members of the company, because if the senior managers are not transparent it will be hard for the middle managers to follow suit (Bullard, 2011).
Accountability in instituting the corporate governance is important since this builds the image of the company. It increases the level of trust from the shareholders and the community at large. Cultural values help in increasing credibility for instance where a company involves external auditor to audit the financial cash flows of the organization. This creates a good relationship with the governing rules of a country, thus reducing fines and penalties that may be involved in the case of irregularities.
It is the responsibility of the managers of an organization to involve the corporate governance in taking care of the social responsibilities, i.e. curbing pollution, provision of social amenities like water and installation of institutions like schools, this way, and the management ensures control of performance and distribution of responsibility fairly Amatucci and Grimm (2011).
The linkage between corporate governance and social culture helps promote fairness in the external business environment; keeping the balance between the economic and social benefits. All this issues have an impact on ensuring long-term performance of productivity of a company.

Benefits of corporate governance
Directors and executives are entitled with the responsibility of formulating rules and policies which are in line with the shareholders interest. Whenever organization with good corporate governance publicizes their policies and details on how they work, more stakeholders will be willing to work with them; this may include charities that might be willing to partner with the company, having seen the strong internal policies, and even lenders after seeing the strong laid down fiscal policies of the company.
According to the research conducted by Finnell and Holmes (2014), corporate governance creates a good reputation for a business entity. Corporate governance also reduces the likelihood of bad behavior among employees of a company. To achieve this, it is necessary to formulate regulations that reduce conflict of interest among employees. For instances, it is the responsibility of an auditor to ensure that the organization operations are fair.  Further, an external audit checks the organization financial and non financial information to ensure that the business is correctly valued as well as a going concern. The company can also institute rules of not awarding contracts to family members or contracts in which an executive has the ownership interest.
Organizations owe the society the social responsibility. It is the role of management to ensure that the organization is adding value to the community. Botha and Robertson (2014) by summarizing the work of many others noted that organizations which add value to the community are highly valued by the shareholders.
Corporate governance acts as a tool for addressing governance risk, the governance board is responsible for addressing changes that may involve the organization’s activities both in the internal and external levels, be it change in policies, employee and shareholder satisfaction to the company’s compliance to set rules and regulations (Akhundov, 2012).
It also improves relationships with the financial institutions, regular financial and management reporting will result in the confidence of a company by the banks as well as investors. Improved access to capital flow will result in business growth.
Better corporate governance often leads to improved reporting on performance. This results to managers and owners having up to date information. This is important as it helps them make quality decisions that can drive an increase in the sales margins and reducing costs, hence profitability.

                                                            Exercising control
            Decision-making on companies’ policies and operations are made by the management. Corporate control is limited by the government, banks, societal forces and competition among others. The managers should act to further the interest of shareholders. The interest of the shareholders is profit maximization. However, managers have a personal interest such as the desire for freedom to make the decision without a lot of consultation, good compensation and lavish pensions that have less relation to organization performance. In some large organization, profit may reduced by high salaries expenses as some managers tend to increase their salaries. Large organization are not prone to take over’s. Every decision manager make should be with the line to shareholders’ interest (Feenstra, 2014).
Shareholders have the right to remove the managers whenever they do not serve their interest. There are various factors that make this decision difficult in various organizations (Miller, 2012). Some of shareholder does not exercise their voting right on some issues. In some instance, when stakeholders interest is compromised , some inefficient managers may be tempted to takeover bid that are as a result of stock value reduction. To maintain management control in an organization, there is a need to control the composition of the board of directors.

                                    Corporate governance and financial performance
Corporate scandals have led to fail of prestigious companies. This has lead to the need for good governance mechanism all over the world. Deficiencies in corporate governance system and financial standard are the key causes of failure of big organizations. Governance’s practices that are in line with the shareholders interest should be formulated to prevent organizations from failing. Good governance standards should be able to bring together the management decision with those of stakeholders.
One limitation corporate governance is facing in modern world is some managers are trying to modify the defined rules and procedures to accommodate their personal interest. These modification acts as a threat to company’s growth and survival. According to the research conducted by Brandes (2013), corporate governance decreases the agency cost that result by managers and shareholders conflict of interest. Conflict arises naturally because managers are placed in a privileged position to make the decision to entrench or converge with the organization objective of maximization. Sometimes management can influence the reported earnings by discretionally making operating decision. Moreover, managers can influence the components which are not reflected in cash flow such as accruals.
Billingham (2013) by summarizing the work of many others claimed that financial reporting is a mirror to stakeholder reflecting the organization performance. Financial information does not only reflect the company performance but also the managerial competence. Adjusting the impacts of earning management improves the importance of governance variables and reduces the relevant of incentive compensation for organization performance.

From the analysis of the above, it is clear that corporate governance play a crucial role in guiding an organization to perform efficiently. It is the responsibility of management team to ensure that their decision do not conflict with the shareholders objective. The primary goal of the stakeholders is wealth maximization. To achieve this goal management make several decision that involves investment, dividends payment, reinvestment of the profit and reduction of cost among others. To improve financial performance, affirm should have good governance practice. An income is a essential element for a firm to remain a going concerned.

Code of ethics provides a guideline for organization management to make rules and regulation to govern. Managers should not make immoral decision. Cultural factors in a business environment influences it operations. It is the role of managers to ensure that the business entities add value to the community. Investors value higher organizations providing social responsibility to the society than those do not provide.

Political factors affect business activities. Government and other authorities such as tax authorities influence the decision of managers. Managers have to make decision to invest in politically stable environment. Further, it is necessary to consider the international relationship to establish market as well as sourcing the raw materials.


















Akhundov, A., 2012, Oct 04. ADB to update business plan on operations in Azerbaijan till 2015.

McClatchy – Tribune Business News.

Amatucci, F.M. and Grimm, R., 2011. ‘Reinventing’ the Business Plan Process for Sustainable

Start-Ups. Journal of Strategic Innovation and Sustainability, 7(1), pp. 154-159.

Billingham, S., 2013. How to execute a business plan. Professional Adviser, , pp. 19.

Brandes, H., 2013, May 02. SBA advice for small businesses: How to create a business plan.

Journal Record. ISSN 07375468.

Bullard, C., 2011. ‘PLAN’ FOR BUSINESS SUCCESS. Motor, 216(4), pp. 27-30.

Botha, M. and Robertson, C.L., 2014. Potential entrepreneurs’ assessment of opportunities

through the rendering of a business plan. South African Journal of Economic and Management Sciences, 17(3), pp. 249-265.

Feenstra, D., 2014. The Standout Business Plan: Make Irresistible- and Get the Funds You Need

for Your Startup or Growing Business. Journal of Applied Management and Entrepreneurship, 19(4), pp. 116-118.

Finnell, K.O. and Holmes, A.T., 2014. Consider ESOPs as an Estate Plan Component for

Business Owners. Estate Planning, 41(9), pp. 3-15.


Grimm, E., 2003. Your business plan: A roadmap to success whether you’re a start-up or existing

company. The Colorado Springs Business Journal (Pre- June 2, 2012), , pp. 1.

Jones, C. And Penaluna, A., 2013. Moving beyond the business plan in enterprise education.

Education & Training, 55(8), pp. 804-814.

Judy, J., 2011. What Is Your Business Plan for Credit? Hoosier Banker, 95(6), pp. 28-30.

Hicks, A., 2014. A fluid, evolving business plan is the key to long-term success. Construction


Mcgovern, C., 2013. Idaho Women’s Business Center helps with a plan for action. The Idaho

Business Review, .

Mendoza, M., 2011. Business plan competition in Colorado Springs hopes to lay tracks for sports

industry cluster. The Colorado Springs Business Journal (Pre- June 2, 2012), .

Miller, L., 2012. How to Protect Yourself from The Regulator With A Business Plan.

Professional Adviser, , pp. 8.




Chemco Corporation

please help with the attached file in writing part about the Linear programming model, the solution is attached too

Chemco Corporation produces a chemical mixture for a specific customer in 1,000-pound batches. The mixture contains three ingredients—zinc, mercury, and potassium. The mixture must conform to formula specifications that are supplied by the customer. The company wants to know the amount of each ingredient it needs to put in the mixture that will meet all the requirements of the mix and minimize total cost.

The customer has supplied the following formula specifications for each batch of mixture:

  • The mixture must contain at least 200 pounds of mercury.
  • The mixture must contain at least 300 pounds of zinc.
  • The mixture must contain at least 100 pounds of potassium.
  • The ratio of potassium to the other two ingredients cannot exceed 1 to 4.

The cost per pound of mercury is $400; the cost per pound of zinc, $180; and the cost per pound of potassium, $90.

  1. Formulate a linear programming model for this problem.
  2. Solve the model formulated in (a) by using the computer.Write-up

The assignment

Your write-up should include your solution to the project by describing the problem. Correctly identify what type of problem this is. For example, you should note if the problem is a maximization problem or minimization problem, as well as identify the resources that constrain the solution. Identify each variable and explain the criteria involved in setting up the problem. This should be encapsulated in one (1) or (2) succinct paragraphs.

After the introductory paragraph, write the Linear Programming model for the problem. Include the objective function and all constraints, including any non-negativity constraints. Then, you should present the optimal solution, based on your work in Excel. Explain what the results mean.

Finally, write a paragraph addressing the part of the problem pertaining to sensitivity analysis and shadow price.


Please set up your problem in Excell and find the solution using Solver. Clearly label the cells in your spreadsheet. You will turn in the entire spreadsheet, showing the setup of the model, and the results.

Maths discussion

  1. Your friend Mary computes (x5)(x7) and gets and answer of x35. Explain why her answer is incorrect and include the correct answer.
  2. Is (x+y)2 equal to (x2+y2)? Explain why or why not using an example to support your answer.
  3. When multiplying two terms with the same base, _____________ the exponents. When dividing two terms with the same base, _____________ the exponents.
  4. John wants to hire an editor to check his thesis paper. The editor charges a flat rate of $50 and $2 per page. Write a polynomial to describe the cost. Find the cost of editing 75 pages.
  5. The distance from the Earth to the sun is 93,000,000 miles. Write this number in scientific notation.
  6. A scientist measures a speck of sand as having a diameter of 0.00000034. Write this number in scientific notation.
  7. Stacy wants to build a triangular sand box for her son. Using the figure below, calculate the area of the triangular box, writing the answer as a polynomial.

    (Hint: A=1/2bh)

  1. Victoria wants to plant a vegetable garden in the shape of a square. She has a space allocated in her backyard that will accommodate 175 square feet. Using the drawing below, use the FOIL method to find the polynomial that represents the area of the square. If x=6, will she have enough room to plant the garden?

  1. Sam needs to fill up a box with packaging material. Use the picture below to calculate the volume of the box.

  1. Jen and Jacob want to put a concrete deck around their pool. Use the figure below to calculate the area of the deck. Second, simplify the area if x=4.75. Round to the nearest hundredth.







  1. (42)3
  2. (a4b6)0
  3. (-2x)-6

Evaluate each polynomial for the given value of the variable.

  1.  -x2-5x+6;   x = -3
  2.  2x2-4x-1;    x = 5

Add the polynomials.

  1. (4y+5y2) + (2y3-8y2)
  2. (3x2-2x-3) + (-7x2+5-8x)

Subtract the polynomials.

  1. (4a2+9b5) – (-2a2-6b5)
  2. (-7-2z3+4y) – (3z3+12-6y)

Use the FOIL method to simplify the binomials.

  1. (x-10) (x-9)
  2. (2x-2) (x+5)
  3. (3y-4)2
  4. 3x(x-1) (5x+9)
  5. (y-3)(2y3-4y+5)

Compute and write your answer in scientific notation.

  1. (5.2 x 1013) (7.1 x 10-22)
  2. (4.3 x 10-8) (1.5 x 109)
  3. 8.2 x 105
    2.75 x 10-3
  4. 6.3 x 10-7
    3.25 x 10-12

Personality theories of Freud, Jung, Rogers, and Maslow

Write a 1,000- to 1,200-word paper comparing the personality theories of Freud, Jung, Rogers, and Maslow. Outline how each theorist contributed to the study of personality. Identify the features of each theory that differentiate them from the other personality theories.

Format your paper consistent with APA guidelines.

Click the Assignment Files tab to submit your assignment.


The Art of Thinking.

Select three of the scenarios in the Applications list 12.2 (a.-y.) at the end of Ch. 12 in The Art of Thinking.

Apply the following in 350 to 500 words for each scenario:

  • Evaluate each argument, using the 4-step process described on p. 218, regarding soundness of reasoning (truth and validity).
  • Explain your assessment and add alternative argumentation where necessary.

Format your paper consistent with APA guidelines.


How the ancient Greeks have impacted our current society

I have started a paper on how the ancient Greeks have impacted our current society. The paper is currently 5 pages long, I need the paper to be 9-10 pages in total length. I would like to keep what I have so far in the paper, just need to elaborate more on each paragraph I think. I would like it if you could talk about current things that we have or use and how it stemmed from what they had. For example i talked about mathematics, amphitheaters, and medicine so just some of the things we use today. I will attach the paper and the sources that I have cited already ( the sources had to be scholary). It should make sense once you read the paper to see where I was trying to go with it. The paper will be turned into , so it must be original work. If there are any questions please ask.

Unit 6 Evaluation AP Calculus AB 2 (MTHH 072 056)

Unit 6 Evaluation

AP Calculus AB 2 (MTHH 072 056)

A graphing calculator may be used on unit evaluations. You may also use scratch paper to work out the solutions. Select the response that best completes the statement or answers the question.


  1. The net change in , as x changes from a to b is given by ___________.
  2. b.
    e. none of these


This graph shows the velocity of an object moving along the coordinate line. Use this graph to answer questions 2 and 3.

  1. What is the total distance traveled by the object?

    a. 17
    b. 7
    c. 10
    d. 25


  1.  What is the object’s displacement?

    a. -5
    b. 5
    c. 13
    d. -13


An object is moving along the coordinate line with velocity . Use this information to answer questions 4 and 5.

  1. What is the total distance traveled by the object from ?

    a. 50
    b. 20
    c. 10
    d. 2


  1. What is the object’s displacement during the interval from?

    a. 10
    b. 20
    c. 5
    d. 0


  1. A solid of _________________ is created by rotating a curve around the x-axis or y-axis.

    a. volume
    b. rotation
    c. revolution
    d. area


  1. Which of the following gives the volume of the solid created by revolving a curve f(x) around the y-axis?



  1. Given a solid whose cross-section is defined by A(x), the volume of the solid is given by _____________________.

    d. none of these


  1. Find the volume of the solid obtained by rotating the area bounded by and the x-axis on the interval about the x-axis.

    a. 5.490
    b. 2.754
    c. 10.912
    d. 9.870


  1. A solid has a flat base, which is bounded by the graph of in the first quadrant only. Each cross section of the solid perpendicular to the x-axis is the shape of a square. Find the volume of this solid.



  1. A solid has a flat base, which is bounded by the graph of  in the first quadrant only. Each cross section of the solid perpendicular to the x-axis is the shape of a square. Find the value of k on the interval such that the line x = k cuts off one third of the solid’s volume. Round your answer to three decimal places.

    a. 0.457
    b. 0.378
    c. 0.987
    d. 0.123


  1. A tank is formed by revolving the graph of  around the y-axis. The tank has a height of 16. Find the value of m such that the line y = m represents the height at which the tank is half full. Round your answer to three decimal places.

    a. 16.549
    b. 15.410
    c. 10.079
    d. 6.105


  1. Which of the following differential equations is not separable?



  1. Suppose that a sample initially contains N0 grams of a radioactive substance. If this substance has a half-life of 32 years, then which of the following equations can be used to find the amount left after t years?

    e. none of these


  1. Suppose that 120 deer are placed in a protected region. If the region can support a maximum deer population of 500, then the bounded growth model for the deer population gives us which differential equation?



  1. If T is the temperature of an object and Tsurround is the temperature of the surroundings, then Newton’s Law of Cooling states what?

    e. none of these


  1. Find the solution of the differential equation that passes through the point (-2, 2).

    e. none of these


  1. If an object is displaced a distance d by a constant force F, the amount of work done is given by which equation?



  1. If the force acting on an object is given by the function F(x), then the work done on the object from x = a to x = b is given by which of the following?



  1. According to Hooke’s Law, the force needed to displace a spring x units from its natural length is given by which equation?



  1. Suppose that a force of 20N stretches a spring 0.4 m beyond its natural length. How far will a 40N force stretch the spring?

    a. 1.0
    b. 0.4
    c. 0.2
    d. 0.8


  1. A cylindrical tank of about 8 m high, with a radius of 3 m, is filled half way with water. Approximately how much work is needed to pump the water to the rim of the tank?

    a. 6.650 x 106 Nm
    b. 8.867 x 106 Nm
    c. 6.788 x 106 Nm
    d. 2.217 x 106 Nm
    e. none of these


  1. Particles A and B are located on the x-axis. The masses and positions of the particles are:

mA = 12 grams            xA = 2
mB= 8 grams              xB = 10

What is the center of mass of this two-particle system?

a. 12.8
b. 5.2
c. 2.1
d. 6.7


  1. Given the cost function C(x), the marginal cost is given by which of the following?

    e. none of these


  1. Suppose that f(x) is the probability density function describing the distribution for the number of minutes it takes to solve a puzzle. Which of the following represents the probability that you will solve the puzzle in 8-10 minutes?

    e. none of these


  1. Suppose we have a rod that is 6 meters long, with density function . What is the center of the mass of the rod?

    e. none of these


  1. Consider the region, R, bounded by the x-axis, the y-axis, and the graphs of the equationsand . Find the area of the region R.

    a. 5.497
    b. 1.483
    c. 0.879
    d. 0.013


A particle moves along the x-axis with its x-coordinate given by the function for t 0. Use this information to answer questions 28-31.

  1. Find the speed of the particle when t = 3.

    a. 3
    b. 12
    c. 20
    d. 60


  1. Find the exact time the particle changes direction.

    a. t(2, 5)
    b. t(0)
    c. t(2)
    d. t(3, 7)


  1. At what time does the particle reach its maximum negative velocity?

    a. 5


  1. Set up but do not evaluate integrals that would find the total distance the particle travels on the interval [0,10].



Use this following information to answer questions 32-35.

Consider the region, R, bounded by the y-axis and the curvefor . A tank is formed by rotating R about the y-axis.

  1. Find a function, V(h), that gives the volume of water in the tank at any vertical height, h, where h is measured in feet from the x-axis.



  1. At what height is the water when the tank is full?

    a. 58.904 feet
    b. 150.931 feet
    c. 197.863 feet
    d. 200.653 feet


  1. Torricelli’s Law states that water will empty from a hole in the bottom of the tank at a rate directly proportional to the square root of the height of the water in the tank. If the tank is full to begin with and is still 3/4 full after 1 hour, find a function V(t) that gives the volume of the water left in the tank at any time t, wheret is in hours.



  1. How long will it take for the tank in question 34 to be completely empty?

    a. 3.506 hours
    b. 5.923 hours
    c. 1 hour
    d. 9.842 hours


  1. You are making pudding for a dinner party, and you put it in the refrigerator at 5 p.m. Your refrigerator maintains a constant temperature of 40 degrees. The pudding will be ready to serve when it cools to 45 degrees. You measure the temperature of the pudding and it is 190 degrees when you put it in the refrigerator and at 6 p.m. the temperature of the pudding is 100 degrees. Based on Newton’s Law of Cooling, when is the earliest you can serve the pudding?

    a. 6:17 pm
    b. 7:59 pm
    c. 8:43 pm
    d. 11:48 pm


  1. A bowl of soup was brought into a room with an initial temperature of 120°. After 10 minutes, its temperature was 105°. After another 10 minutes, its temperature was 95°. Use Newton’s Law of Cooling to estimate the temperature of the room.

    a. 70 degrees
    b. 82 degrees
    c. 63 degrees
    d. 75 degrees


A cup of coffee at 160° is placed in a room where the temperature is 70°. After 5 minutes, the coffee’s temperature is 112.5°. Use this information to answer questions 38-39.

  1. Find the temperature of the coffee 10 minutes after it was placed in the room.

    a. 87.6 degrees
    b. 90.1 degrees
    c. 95.3 degrees
    d. 75 degrees


  1. After how many minutes in the room will the coffee’s temperature be 85°?

    a. 12
    b. 15
    c. 5
    d. 9


  1. If 50 grams of a radioactive substance decomposed to 42 grams in 2 years, then, to the nearest gram, the amount left after 5 years would be ________.
  2. 30 grams
    b. 32 grams
    c. 22 grams
    d. 40 grams


Suppose that a slice of pizza at a temperature of 80°F has been placed inside a freezer, where the temperature is 2°F. Use this information to answer questions 41 and 42.

  1. Which of the following equations describes the rate at which the pizza’s temperature T is decreasing?
  2. b.


  1. If the pizza cools to 45° in 1 hour, then its temperature after t hours is given by which equation?



A cylindrical water tower 10 ft in diameter and 40 ft in height has its center 100 ft above the ground. A pump on the ground fills the tank with water whose density is 62.4 lb/ft3. Use this information to answer questions 43 and 44.

  1. How much work is done in filling the tank half way?

    a. 35.2 million ft-lb
    b. 15.7 million ft-lb
    c. 8.8 million ft-lb
    d. none of these


  1. How much work is done in filling the tank completely?

    a. 70.4 million ft-lb
    b. 31.4 million ft-lb
    c. 17.6 million ft-lb
    d. none of these


  1. A tank is made in the shape of a paraboloid formed by rotating the graph of x2 about the y-axis from x = 0 to x = 2. The tank is filled with a liquid whose density is 30 lb/ft3. Find the work done in pumping the liquid to a level of 15 ft above the top of the tank.



  1. A spaceship weighs 50 tons on the launch pad. As it ascends, it burns fuel so that it weighs 20 tons by the time it reaches an altitude of 70 miles. How much work is done in lifting the spaceship to an altitude of 70 miles?

    a. 2450 mi-tons
    b. 2100 mi-tons
    c. 3500 mi-tons
    d. none of these


  1. The force pulling an object to earth is where G is the gravitational constant, M is the mass of the Earth, m is the mass of the object, and r is the distance between the object and the center of the Earth. Let R represent the radius of the Earth. How much work is required to move the object infinitely far from Earth?

    a.  infinite
    b. 0


The probability density function describing the amount of time you will have to wait for a bus is  f(x) = 0.3e-0.3x where x is the number of minutes that have passed since you arrived at the bus stop. Use this information to answer questions 48-49.

  1. What is the probability that a bus will arrive within 3 minutes?

    a. 0.593
    b. 0.109
    c. 0.893
    d. 0.448


  1. What is the probability that you will have to wait 5 to 10 minutes?

    a. 0.983
    b. 0.173
    c. 0.246
    d. 0.671


  1. If you have a rod of length 5 with density. What is the center of mass of the rod?



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The 12 acceptable religions are Hinduism, Judaism, Zoroastrianism, Buddhism, Shinto, Confucianism, Jainism, Taoism, Christianity, Islam, Sikhism, and Baha’i. A comparison of a sect within a major world religion in not eligible to be addressed. The following subtopics are to be addressed: Comparison of religious history Comparison of philosophy and teachings The cultural context from which the religions arose The effect of the religions upon moral values within the cultures The effect of the religions upon social attitudes within the cultures The effect of the religions upon spiritual beliefs within the cultures