ind the equation of the parabola with vertex on Ox, parallel to Oy, .pdf

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ind the equation of the parabola with vertex on Ox, parallel to Oy, and passing through (1,-4),(- 1,-1). analytic geometry conic sections, the parabola Solution You can write the equation of a parabola as: y = ax^2 + bx + c Since the vertex is on ox axis, then the coordinates of vertex are (-b/2a, -delta/4a), where delta=0. delta = b^2-4ac = 0 b^2 = 4ac b=2sqrt(ac) The parabola passes through the points (1,-4),(-1,-1): -4 = a + b + c (1) -1 = a - b + c (2) We\'ll add (1)+(2): 2(a+c) = -5 a+c = -5/2 ac = b^2/4 ac = b^2/4 x^2 + 5x/2 + b^2/4 = 0 delta = 25/4 - b^2 delta = 0 25/4 - b^2 = 0 b^2=25/4 b1=5/2 and b2 = -5/2 a=c=-5/4 The equations of the parabola are:y = -5x^2/4 + 5x/2 - 5/4 and y = -5x^2/4 - 5x/2 - 5/4.

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Income Statement (in million of USDs) 2015 Total sales 202 Cost of sales -148 Gross Profit 54 Selling, general, and administrative expenses -22 Research and development -8 Depreciation and amortization -4 Other income 4 Earnings before interest and taxes (EBIT) 24 Interest income (expense) -7 Pretax income 17 Taxes -4 Net Income 13 Balance Sheet (in million of USDs) Assets Liabilities Current Assets Current Liabilities Cash 62 Accounts payable 42 Accounts receivable 46 Notes payable/short-term debt 1 Inventories 5 Total current assets 113 Total current liabilities 43 Long-Term Assets Long-Term Liabilities Net property, plant, and equipment 101 Long-term debt 98 Total long-term assets 101 Total long-term liabilities 98 Total Liabilities 141 Stockholders\' Equity 73 Total Assets 214 Total Liabilities and Stockholders\' Equity 214 The above tables show the income statement and balance sheet for a certain company. All quantities shown are in millions of dollars. 1. What is the company\'s ROE in 2015? 2. What is the company\'s ROA in 2015? 3. If the corporation has 20 million shares outstanding, what is its EPS in 2015? 4. Now consider that additionally the company\'s managers and employees have stock options for 5 million shares; what is its diluted EPS in 2015? Income Statement (in million of USDs) 2015 Total sales 202 Cost of sales -148 Gross Profit 54 Selling, general, and administrative expenses -22 Research and development -8 Depreciation and amortization -4 Other income 4 Earnings before interest and taxes (EBIT) 24 Interest income (expense) -7 Pretax income 17 Taxes -4 Net Income 13 Solution 1) ROE = Net income/Equity = $13/$73 = 17.81% 2) ROA = Net income/Total assets = $13/$214 = 6.07% 3) EPS = Net income/Number of shares outstanding = $13,000,000/20,000,000 = $0.65 4) Diluted EPS = Net income/Number of shares outstanding = $13,000,000/25,000,000 = $0.52.

Income Statement (in million of USDs)2015Total sales202Cost .pdf

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In your own words, what were the core intellectual, political, and artistic characteristics of the Italian Renaissance (c. 1350-1550 CE)? Describe two figures that seem to represent especially important Renaissance characteristics. Explain your reasoning. 250 words Solution The Renaissance is the reentrance into the world of that secular, inquiring, self- reliant spirit which characterized the life and culture of classical antiquity. This is simply to say that under the influence of the intellectual revival the men of Western Europe came to think and feel, to look upon life and the outer world, as did the men of ancient Greece and Rome; and this again is merely to say that they ceased to think and feel as mediaeval men and began to think and feel as modern men. Just as the Reformation went forth from Germany and the Political Revolution from France, so did the Renaissance go forth from Italy. And this was not an accident. The Renaissance had its real beginnings in Italy for the reason that all those agencies which were slowly transforming the mediaeval into the modern world were here more active and effective in their workings than elsewhere. City life was more perfectly developed in Italy than in the other countries of Western Europe. In the air of the great Italian city-republics there was nourished a strong, self-reliant, secular, myriad-sided life. It was a political, intellectual, and artistic life like that of the cities of ancient Greece. Florence, for example, became a second Athens. The cities themselves were, in a very exact sense, fragments of the old Empire.The influence which these reminders of a glorious past exerted upon sensitive souls is well illustrated by the biographies of such men as Boccaccio and Petrarch. Petrarch is best known to most as the writer of Italian sonnets, but his significance for general history is due almost wholly to his relation to the revival of classic learning in Italy. Petrarch was the first and greatest representative of the humanistic phase of the Italian Renaissance. He was the first scholar of the mediaeval time who fully realized and appreciated the supreme excellence and beauty of the classical literature and its value as a means of culture. Boccaccio did much to spread and to deepen the enthusiasm for antiquity that Petrarch had awakened. He industriously collected and copied ancient manuscripts and thus greatly promoted classical scholarship in Italy..

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In your opinion, what are the biggest challenges facing MNC Solution MNC or Multinational Corporations operate in more than one country and deliver its products or services worldwide. As these corporations operate in beyond a particular geography, they gets affected by challenges i.e. economic, political, technological and various social challenges that exists in countries they operate. The main challenge that the MNCs are facing in todays world is Political/regualtory in nature. A changing regulatory environment is always a concern for the business. With change in regulatory environment, the businesses need to reallign their operations and doing so can increase the cost to the business. The regulatory framework of any country remains constant when there is political stability. With change in government in any country, the policy frame work also changes, affecting the regulatory framework. In todays world due to the political instability in various corner of the world and the econmic downturn associated with it, is affecting the businesses to operate in a stable environment. Another major challenge could be economic challenge. Any company able to prosper when the country, they are doing business in, is economically sound and stable. With global depression spreading over various countries, some even adding upto the defaulter list, the challenges for MNCs to sell their product and services to gain profits are decreasing. As the global economical condition is detoriating, the disposable income in hands of consumers are decreasing, inturn decreasing the demand for product or services required. Hence, decreasind the profit margin for MNCs..

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In which of the following remote access methods is a pinholing scheme used to facilitate the network address translation (NAT) contact to occur with internal workstations? Tunneling Application portals Remote desktop access Direct application access Solution c. Remote desktop access There are two major styles of remote desktop access: (i) direct between the telework client device (e.g., a consumer device such as a smartphone and PDA or PC used for performing telework) and the internal workstation, and (ii) indirect through a trusted intermediate system. However, direct access is often not possible because it is prevented by many firewalls..

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In what area does internal control allow only one person responsible? Solution 1. Establishment of Responsibility: An essential characteristic of internal control is the assignment of responsibility to specific individuals. a. Control is most effective when only one person is responsible for a given task. b. Establishing responsibility includes the authorization and approval of transactions. 2. Segregation of Duties: Segregation of duties is indispensable in a system of internal control. a. The rationale for segregation of duties is that the work of one employee should, without a duplication of effort, provide a reliable basis for evaluating the work of another employee. i. There are two common applications of this principle: 1. The responsibility for related activities should be assigned to different individuals. 2. The responsibility for record keeping for an asset should be separate from the physical custody of an asset..

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In today Solution n the past it had been the common conception that businesses fundamentally rely upon, and in turn effect their economic capital, which is represented in the form of stockholders. The rise to prominence of stakeholders (through studies and reports) has allowed firms to realise that there are people and infrastructure beyond the company which are necessary to it and who must have their interests protected. An organisation\'s stakeholders are all parties who can reasonably be understood to be affected by its decisions. They can be deemed to represent the businesses\' social and environmental capital as well as economic. Stakeholders can be of very different and varied guises and also harbour conflicting interests. In the main they can be categorised into three major groups: Internal, Connected and External Stakeholders. Internal stakeholders include managers and employees and are those that are situated within the company and affect the.

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In this task, I want you to verify that the phase response of Fourier transform is much more important than the magnitude response in case of images 1- Upload two images into Matlab of the same size. 2- Find the Fourier transform of these two images. (the function that you need to use is “y=fft2(im)” 3- Reconstruct the images using their corresponding Fourier transforms and verify that the Fourier transformation is perfectly invertable. (The function that you need to use is ifft2(y). 4- The Fourier transforms of the images are complex numbers, so you need to find their magnitude and phase. (The functions that you need to use are “abs(y)” for magnitude and “unwrap(angle(y))” for phase.). 5- Use the magnitude response of image 1 and the phase response of image 2 and reconstruct the image applying inverse Fourier transform. (The function that you need to use is ifft2(rcos+jrsin ), where r is the magnitude and is the phase). 6- Use the magnitude response of image 2 and the phase response of image 1 and reconstruct the image applying inverse Fourier transform. 7- Comment on the results. Solution Fourier transform :- The Fourier transform decomposes a function of time (a signal) into the frequencies that make it up, similarly to how a musical chord can be expressed as the amplitude (or loudness) of its constituent notes. The Fourier transform of a function of time itself is a complex-valued function of frequency, whose absolute value represents the amount of that frequency present in the original function, and whose complex argument is the phase offset of the basic sinusoid in that frequency. The Fourier transform is called the frequency domain representation of the original signal. The term Fourier transform refers to both the frequency domain representation and the mathematical operation that associates the frequency domain representation to a function of time. The Fourier transform is not limited to functions of time, but in order to have a unified language, the domain of the original function is commonly referred to as the time domain. For many functions of practical interest one can define an operation that reverses this: the inverse Fourier transformation, also called Fourier synthesis, of a frequency domain representation combines the contributions of all the different frequencies to recover the original function of time. Linear operations performed in one domain (time or frequency) have corresponding operations in the other domain, which are sometimes easier to perform. The operation of differentiation in the time domain corresponds to multiplication by the frequency,[note 1] so some differential equations are easier to analyze in the frequency domain. Also, convolution in the time domain corresponds to ordinary multiplication in the frequency domain. Concretely, this means that any linear time-invariant system, such as a filter applied to a signal, can be expressed relatively simply as an operation on frequencies.[note 2] After performing .

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In this unit, you discussed some of the problems associated with inflation. List one of these problems and describe a situation in which you encountered this problem Solution One of the major problem associated with the inflation is increase in poverty and affordability by the people. The survival becomes expensive and it become difficult to the people to afford the product and services. This problem is encountered when the price rise exceeds the level of affordability of the people..

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In this chapter a decision tree was developed for John Thompson (Figure for the complete decision tree analysis). After completing the analysis, John was not completely sure that he is indifferent to risk. After going through a number of standard gambles, John was able to assess his utility for money. Here are some of the utility assessments: U ( Solution http://brainmass.com/business/business-analysis/171301.

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In this problem , I have to find the third derivative of the fourth root of 2x cubed minus 16. so Third derivative of (fourth root) 4 2x^3 - 16 Solution The fourth root can be thought of as (2x^3) being raised to the 1/4 power so you can just multiply the power and get 2x^3/4 - 16 Take the first derivative: 3/4*2x^-1/4 Second derivative: 3/4*-1/4*2x^-5/4 = -3/16*2x^-5/4 Third derivative: -3/16*-5/4*2x^-9/4 = 15/64*(2x^-9/4).

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In the view of the Securities and Exchange Commission (SEC), the likelihood of compromise of an integrated system of hadrware and software is considerably less than the likelihood of compromise of a system of authentication, passwords, and procedures. Please justify this view. Solution Firstly, persons are doing more hardware/software validation and also testing as opposed to only faster SoC [system on chip] verifications. The main driver being that time-to-market windows are reducing drastically . This is not only in the consumer electronics, rather in all other aspects of electronics. Hardware/software integration is the essential factor for companies to hit the market window and also not incur the penalties of running late . Challenges in hardware/software integration One is that, software development is even now trailing behind hardware development. In some cases, SoCs sit on the shelf for some months before the software is completed to go. Second ,hardware/software integration is tough. There exist reasons why hardware and software development cycles happen separately by different teams, yet there needs to be some common set of bridges which enables the teams to synchronize the hardware and software through the development process, and not just doing it at the end. A third issue is the verification part. How does one verify the system, how does one verify the SoC, and also do it meaningfully with a good level of quality, so that the product is set to hit the market window? Which development tools,and/ or platforms, do design teams use to bridge the hardware and software Persons are using a variety of technologies so as to more effectively bridge hardware and software. Yet, a lot of these remedies have been developed only as point tools and they use the proprietary approaches, this is problematic because the flow should allow for the smooth transition from various different phases of overall development cycle without any artificial barriers which slow and hamper things down..

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In the United States I see significant quantities of manufactured good imports made in Taiwan, Japan, China and Korea. However, there seem to be relatively few imports from India. Why is this? Solution India has significantly worse physical/logistics infrastructure than China, Japan, Korea and Taiwan, so it is difficult to produce goods in India because it\'s difficult to move supplies and product around the country. This, coupled with the comparatively higher complexity of dealing with government bureaucracy, makes it challenging to manufacture products in India for export. Here is the World Bank\'s 2014 Logistics Performance Index for the countries, which illustrates the significant competitive disadvantage India has compared to China and others. India still has a low-cost workforce, so they do export items where cost is very important (e.g. clothing, sneakers). More importantly, India exports services (call centers, software offshoring) because it\'s much easier to lay down fiber optic cable than to build a railroad so certain cities (Hyderabad, Mumbai, Bangalore) have developed strong export services industries which do not need to depend on a lot of outside physical infrastructure to create viable exports..

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