Advantages And Disadvantages Of Generic And Brand Name Drugs Essay

Advantages And Disadvantages Of Generic And Brand Name Drugs Essay Advantages And Disadvantages Of Generic And Brand Name Drugs – Essay Example Generic and Brand Drugs Generic and Brand Drugs A drug that is brand d is one whose medication is marketedby a certain pharmaceutical industry. A brand is an asset, which links certain products to relevant customers. (Agress, 1996).The drug contains two names at the starting point. The generic name is the scientific names of the drug while the brand name is what the companies assign for the purposes of marketing. Generics are after the patent, which may last for a period of twenty years. Brand building is a costly process and requires a long-term supporting system. It would also create real value in the eyes of industry partners, and perceived value in the eyes of product users. In addition, it also creates intellectual property (trademarks) that can increase the value of the product to partners performing together in a commerce business and the PDP is controlled of how the different kind of product is cost and are utilized. Increasingly, generic OTC and consumer healthcare products given carry with them the reputation of the vendor. PDP-developed products have social values.There are several costs involved in branding, which are usually incurred by the consumer or transferred to the donor. It would require long-term support, and donors will not be willing to sustain support. Market share is difficult to be increased since a strong meaning is not established for our brands. (Aker, 1991)There is need to â€Å"support both the generic and the commercial forms of products on the marketplace since our goal is greater health not greater market share† (Aaker, 1997). Budgets that are less forgiving usually call for tactics of high standards. There is need to develop a simple relationship with your private-sector partners that is beyond production only. Extensive experience is required in product marketing and expertise.ReferencesAustin, J. R., Siguaw, J. A., & Mattila, A. S. (2003). A re-examination of the generalizability of the Aaker brand personality measure ment framework. Journal of Strategic Marketing, 11(2), 77-92.Agres, S. J., & Dubitsky, T. M. (1996). Changing needs for brands. Journal of Advertising Research, 36(01), 21-30.Aker, D. A. (1991). Managing brand equity: Capitalizing on the value of a brand name. New York: Simon & Schulter.

Congrats on your Graduation! Now Read This

Congrats on your Graduation! Now Read This There’s a peculiar sinking feeling that often follows the exultant glee of donning a cap and gown, seeing your diploma for the first time, and updating your resume to include your new graduate status. Ronda Lee, a blogger and first generation college and law school graduate, has several tips and suggestions to help you take the steps that come next! Wisely, she observes that â€Å"You never know who will be the person who will lead you to your next job, client, or big idea. . .Many times jobs are filled before the posting because the hiring person sent an email to friends and contacts asking for names of potential candidates.† Even more important, she frames networking as a mutually beneficial relationship, rather than a series of awkward one-sided coffee meetings. Be generous with your contacts, pass along opportunities that aren’t right for you, and trust that it’ll come back to you with long term benefits.  When saying goodbye your classmates and prof essors, it’s crucial to be gracious and lay the groundwork for future relationships. Your mentors may be the ones writing your first recommendations; your classmates may be the gatekeepers who interview you before the hiring manager does. Write thank you notes. Return emails. Don’t burn bridges!Once you’ve landed that first job out of college, a team player’s attitude is crucial. Manage your time and be self-sufficient–but don’t be so caught up that you forget to ask questions when you’re confused. Communicate clearly and courteously with everyone  you come across–there’s no substitute for a good track record as a conscientious and responsible coworker! Be flexible and willing to adapt, especially in the beginning of a new position where your responsibilities may be in flux. If you become known as someone who’s ready, willing, and able to take on new tasks and complete them successfully, you’ll have stand ing with your employer when it’s time to advocate for yourself, your skills, and future opportunities.Millennials have a reputation as being cocky or unwilling to pay their dues–having a self-driven, entrepreneurial spirit is a terrific thing, but make sure you’re willing to learn the ropes before you start breaking new ground. Find mentors who will call it like they see it–even when it’s hard to hear–and take advantage of your alma mater’s career center resources if you need support at any page of job-seeking or early employment.

Stop motivating your employees Research Paper Example | Topics and Well Written Essays - 1000 words

Stop motivating your employees - Research Paper Example When employees are recognized for their distinctive associations, the motivation premise will set in easily. This helps them to grow beyond a certain point and get encouraged all the same. Nearly each and every employee has a characteristic of their own which needs to be appreciated within the domains of an organization. This can be discerned through meeting employees who stand a chance to get recruited within the domains of an organization. What this implies is the fact that these potential employees are asked for certain questions which suggest for their motivation levels. If they are de-motivated then this is a good time to know why this is the case (Robbins et al., 2008). If they are encouraged properly, they shall find a way to get motivated because it is every organization’s priority number one. There cannot be any two opinions about new employees who should be motivated enough to run the reigns of an organization. When strong relations are built with employees, they bec ome motivated to carry out their respective tasks. If these relations turn into positive ones, there would be more delight amongst the employees and they will always appreciate the organization for all its efforts, endeavors and undertakings (Sirota et al., 2006). It will essentially stop de-motivating the employees who are proactively looking for a way through which they can learn new avenues and seek novel grounds as far as their working domains are concerned. Hence it is a good measure if the de-motivation comes to a halt immediately, whereby there is more room to grow and develop for the employees and workers to boost the business in the real sense of the word. Another way through which de-motivation can be avoided within employees is to set individual goals for them so that they achieve them without much difficulty. It makes their tasks cut out and they know exactly what is required of them from an organizational standpoint. When the employees have hard specific and achievable goals up their sleeves, they will always remains motivated enough to come back to work day in and day out. They will know exactly what is required of them and what resources they must employ to attain their respective results (Sirota et al., 2006). This is a very significant aspect of learning new methodologies while remaining motivated all this while. What is even more necessary is the fact that employees must always know that whatever they are trying their hands at is achievable right from the outset. This shall shape up their actions and tell them exactly how they are going along with their respective work domains (Robbins et al., 2008). If they believe they cannot achieve these tasks, then there is bound to be more de-motivated existent within their ranks. Providing feedback on employees’ performance is one of the few ways through which their work regimes get measured. This could either be done in an annual feedback session or through semi-annual programs (Robbins et al., 2008). The need is to tell the employees exactly where they stand and what more they can do in the future. It shall always motivate the employees because their respective domains mean that the business will start to prosper (Sirota et al., 2

Analysis of Slavery and the Genesis of American Race Prejudice Article Essay

Analysis of Slavery and the Genesis of American Race Prejudice Article - Essay Example Degler states that, â€Å"†¦ the status of the Negro in the English colonies was worked out in a framework of discrimination; that from the outset, as far as the available evidence tells us, the negro was treated inferior to the white man’s servant of the free man† (Degler 52). Degler in this statement puts a halt to the discussion on what came first between slavery and discrimination and asserts that slavery evolved from the continued discrimination of the Negro by the white man, partly because there were no structures to protect Negros in America. Consequently, slavery evolved as a legal status and an epitome to discrimination. Degler seeks to differentiate the difference in the treatment of Negros in the Spanish and Portuguese Iberian region to that of the British. He explains that the major differences were that while the former had already fixed legal status to deal with the Negro even before they ventured into America, the same structures lacked in British te rritories. Secondly, Degler explains that â€Å"the discrimination against the negro antedated the legal status of slavery† (Degler 52). These were the main facts that differentiated British treatment of the Negros from the Spanish and the Portuguese. Degler in his argument makes a clear statement that slavery in the North American region left a considerably different mark on the status of Negros compared to the South American region, which according to Degler explains the current cases of racism in America. Degler asserts that as Handlin asserted, before the seventeenth century, the term slavery was not in use. However, Degler is fast to clarify that the fact that the discriminatory name did not exist does not indicate there was similar treatment between the Negro and the freeman.  

Gene Manipulation Essay Example | Topics and Well Written Essays - 2250 words

Gene Manipulation - Essay Example James Watson discovered the double helix structure of DNA. Due to which currently we have knowledge of our genes and thus makes it easier to manipulate them. Scientists already have made wonderful discoveries regarding how genes are related to diseases. Discovering the genes for cystic fibrosis as well as Huntington's disease are without a doubt important achievements, even though new treatments for both the disorders have not been discovered as yet. The discovery of the BRCA1 and BRCA2 genes of breast cancer were extraordinary accomplishments, even though they are responsible for less than 10 %of all kinds of breast cancer. Scientists will discover significant genetic associations with diseases in the next few years, some of which may eventuate in preventions or treatments that may reduce human suffering. whilst the identifying of for behavior genes are not quite understandable, there is little suspicion that scientific reports regarding new genetic tendencies or basis of behaviors will be a common occurrence in the up coming years . Furthermore, different kinds of genetic "alternative," from selection of sex to the traits of personalit y to better abilities might become obtainable by means of "gene therapy," which are also known as gene manipulation such as technologies or genetic reproductive or human cloning. This is only the beginning of the age of genetics. Genetic engineering means the human, and hence "artificial" (as in the sense of nature doesn't do this without our help), manipulation of genes. This may involve, as in the case of genetically modified foods, manipulating genes in individual organisms, one at a time. Of course, scientists do not sit there and place new genes by hand into every single potato. There are ways to do this in large batches at a time. But the expectation is that someday not too long from now we will place genes by hand, one at a time, into human fetuses or individual patients to correct deficiencies or replace "bad" genes that cause particular diseases. This sort of individual manipulation is what many people imagine when they hear the term genetic engineering. Genetic engineering is also commonly known as the manipulation of the gene pool, or the entire genes of every the individual in a population. New techniques have recently allowed fertility clinics to determine with a high statistical probability of success whether a fertilized egg is likely to be male or female. If a couple wants only females, perhaps because the parents carry genes that cause disease only in male offspring, then the clinic can pick out the females and implant only those in the mother. This is genetic engineering, the engineering of the genetic outcome of reproduction. Imagine that a clinic allows parents to choose the eggs or sperm that carry the "smartest" or "prettiest" or "strongest" genes and throw away the others. That is also genetic engineering. And it raises additional questions. What we tend to forget is that genetics is not everything. Genetics alone is not destiny, because development and the environment make a great difference in how genes are expressed. Parents of children with Down syndrome (also known as trisomy 21), for example, remind us that children with traits deemed to be a

Maxima And Minima Of Functions Mathematics Essay

Maxima And Minima Of Functions Mathematics Essay Maxima and Minima are important topics of maths Calculus. It is the approach for finding maximum or minimum value of any function or any event. It is practically very helpful as it helps in solving the complex problems of science and commerce. It can be with one variable of with more than one variable. These can be done with the help of simple geometry and math functions. Finding the maxima and minima, both absolute and relative, of various functions represents an important class of problems solvable by use of differential calculus. The theory behind finding maximum and minimum values of a function is based on the fact that the derivative of a function is equal to the slope of the tangent. Analytical definition A real-valued function f defined on a real line is said to have a local (or relative) maximum point at the point xà ¢Ã‹â€ -, if there exists some ÃŽÂ µ > 0 such that f(xà ¢Ã‹â€ -) à ¢Ã¢â‚¬ °Ã‚ ¥ f(x) when |x à ¢Ã‹â€ Ã¢â‚¬â„¢ xà ¢Ã‹â€ -| Restricted domains: There may be maxima and minima for a function whose domain does not include all real numbers. A real-valued function, whose domain is any set, can have a global maximum and minimum. There may also be local maxima and local minima points, but only at points of the domain set where the concept of neighbourhood is defined. A neighbourhood plays the role of the set of x such that |x à ¢Ã‹â€ Ã¢â‚¬â„¢ xà ¢Ã‹â€ -| A continuous (real-valued) function on a compact set always takes maximum and minimum values on that set. An important example is a function whose domain is a closed (and bounded) interval of real numbers (see the graph above). The neighbourhood requirement precludes a local maximum or minimum at an endpoint of an interval. However, an endpoint may still be a global maximum or minimum. Thus it is not always true, for finite domains, that a global maximum (minimum) must also be a local maximum (minimum). Finding Functional Maxima And Minima Finding global maxima and minima is the goal of optimization. If a function is continuous on a closed interval, then by the extreme value theorem global maxima and minima exist. Furthermore, a global maximum (or minimum) either must be a local maximum (or minimum) in the interior of the domain, or must lie on the boundary of the domain. So a method of finding a global maximum (or minimum) is to look at all the local maxima (or minima) in the interior, and also look at the maxima (or minima) of the points on the boundary; and take the biggest (or smallest) one. Local extrema can be found by Fermats theorem, which states that they must occur at critical points. One can distinguish whether a critical point is a local maximum or local minimum by using the first derivative test or second derivative test. For any function that is defined piecewise, one finds maxima (or minima) by finding the maximum (or minimum) of each piece separately; and then seeing which one is biggest (or smallest). Examples The function x2 has a unique global minimum at x = 0. The function x3 has no global minima or maxima. Although the first derivative (32) is 0 at x = 0, this is an inflection point. The function x-x has a unique global maximum over the positive real numbers at x = 1/e. The function x3/3 à ¢Ã‹â€ Ã¢â‚¬â„¢ x has first derivative x2 à ¢Ã‹â€ Ã¢â‚¬â„¢ 1 and second derivative 2x. Setting the first derivative to 0 and solving for x gives stationary points at à ¢Ã‹â€ Ã¢â‚¬â„¢1 and +1. From the sign of the second derivative we can see that à ¢Ã‹â€ Ã¢â‚¬â„¢1 is a local maximum and +1 is a local minimum. Note that this function has no global maximum or minimum. The function |x| has a global minimum at x = 0 that cannot be found by taking derivatives, because the derivative does not exist at x = 0. The function cos(x) has infinitely many global maxima at 0,  ±2à Ã¢â€š ¬,  ±4à Ã¢â€š ¬, à ¢Ã¢â€š ¬Ã‚ ¦, and infinitely many global minima at  ±Ãƒ Ã¢â€š ¬,  ±3à Ã¢â€š ¬, à ¢Ã¢â€š ¬Ã‚ ¦. The function 2 cos(x) à ¢Ã‹â€ Ã¢â‚¬â„¢ x has infinitely many local maxima and minima, but no global maximum or minimum. The function cos(3à Ã¢â€š ¬x)/x with 0.1  Ãƒ ¢Ã¢â‚¬ °Ã‚ ¤Ã‚  x  Ãƒ ¢Ã¢â‚¬ °Ã‚ ¤Ã‚  1.1 has a global maximum at x  = 0.1 (a boundary), a global minimum near x  = 0.3, a local maximum near x  = 0.6, and a local minimum near x  = 1.0. (See figure at top of page.) The function x3 + 32 à ¢Ã‹â€ Ã¢â‚¬â„¢ 2x + 1 defined over the closed interval (segment) [à ¢Ã‹â€ Ã¢â‚¬â„¢4,2] has two extrema: one local maximum at x = à ¢Ã‹â€ Ã¢â‚¬â„¢1à ¢Ã‹â€ Ã¢â‚¬â„¢Ãƒ ¢Ã‹â€ Ã… ¡15à ¢Ã‚ Ã¢â‚¬Å¾3, one local minimum at x = à ¢Ã‹â€ Ã¢â‚¬â„¢1+à ¢Ã‹â€ Ã… ¡15à ¢Ã‚ Ã¢â‚¬Å¾3, a global maximum at x = 2 and a global minimum at x = à ¢Ã‹â€ Ã¢â‚¬â„¢4. Functions of more than one variable  ­For functions of more than one variable, similar conditions apply. For example, in the (enlargeable) figure at the right, the necessary conditions for a local maximum are similar to those of a function with only one variable. The first partial derivatives as to z (the variable to be maximized) are zero at the maximum (the glowing dot on top in the figure). The second partial derivatives are negative. These are only necessary, not sufficient, conditions for a local maximum because of the possibility of a saddle point. For use of these conditions to solve for a maximum, the function z must also be differentiable throughout. The second partial derivative test can help classify the point as a relative maximum or relative minimum. In contrast, there are substantial differences between functions of one variable and functions of more than one variable in the identification of global extrema. For example, if a differentiable function f defined on the real line has a single critical point, which is a local minimum, then it is also a global minimum (use the intermediate value theorem and Rolles Theorem to prove this by reduction ad absurdum). In two and more dimensions, this argument fails, as the function shows. Its only critical point is at (0,0), which is a local minimum with Æ’(0,0)  =  0. However, it cannot be a global one, because Æ’(4,1)  =  Ãƒ ¢Ã‹â€ Ã¢â‚¬â„¢11. The global maximum is the point at the top In relation to sets Maxima and minima are more generally defined for sets. In general, if an ordered set S has a greatest element m, m is a maximal element. Furthermore, if S is a subset of an ordered set T and m is the greatest element of S with respect to order induced by T, m is a least upper bound of S in T. The similar result holds for least element, minimal element and greatest lower bound. In the case of a general partial order, the least element (smaller than all other) should not be confused with a minimal element (nothing is smaller). Likewise, a greatest element of a partially ordered set (poset) is an upper bound of the set which is contained within the set, whereas a maximal element m of a poset A is an element of A such that if m à ¢Ã¢â‚¬ °Ã‚ ¤ b (for any b in A) then m = b. Any least element or greatest element of a poset is unique, but a poset can have several minimal or maximal elements. If a poset has more than one maximal element, then these elements will not be mutually comparable. In a totally ordered set, or chain, all elements are mutually comparable, so such a set can have at most one minimal element and at most one maximal element. Then, due to mutual comparability, the minimal element will also be the least element and the maximal element will also be the greatest element. Thus in a totally ordered set we can simply use the terms minimum and maximum. If a chain is finite then it will always have a maximum and a minimum. If a chain is infinite then it need not have a maximum or a minimum. For example, the set of natural numbers has no maximum, though it has a minimum. If an infinite chain S is bounded, then the closure Cl(S) of the set occasionally has a minimum and a maximum, in such case they are called the greatest lower bound and the least upper bound of the set S, respectively. The diagram below shows part of a function y = f(x). The Point A is a local maximum and the Point B is a local minimum. At each of these points the tangent to the curve is parallel to the x-axis so the derivative of the function is zero. Both of these points are therefore stationary points of the function. The term local is used since these points are the maximum and minimum in this particular region. There may be others outside this region. function f(x) is said to have a local maximum at x = a, if $ is a neighbourhood I of a, such that f(a) f(x) for all x I. The number f(a) is called the local maximum of f(x). The point a is called the point of maxima. Note that when a is the point of local maxima, f(x) is increasing for all values of x a in the given interval. At x = a, the function ceases to increase. A function f(x) is said to have a local minimum at x = a, if $ is a neighbourhood I of a, such that f(a) f(x) for all x I Here, f(a) is called the local minimum of f(x). The point a is called the point of minima. Note that, when a is a point of local minimum f (x) is decreasing for all x a in the given interval. At x = a, the function ceases to decrease. If f(a) is either a maximum value or a minimum value of f in an interval I, then f is said to have an extreme value in I and the point a is called the extreme point. Monotonic Function maxima and minima A function is said to be monotonic if it is either increasing or decreasing but not both in a given interval. Consider the function The given function is increasing function on R. Therefore it is a monotonic function in [0,1]. It has its minimum value at x = 0 which is equal to f (0) =1, has a maximum value at x = 1, which is equal to f (1) = 4. Here we state a more general result that, Every monotonic function assumes its maximum or minimum values at the end points of its domain of definition. Note that every continuous function on a closed interval has a maximum and a minimum value. Theorem on First Derivative Test (First Derivative Test) Let f (x) be a real valued differentiable function. Let a be a point on an interval I such that f (a) = 0. (a) a is a local maxima of the function f (x) if i) f (a) = 0 ii) f(x) changes sign from positive to negative as x increases through a. That is, f (x) > 0 for x f (x) a (b) a is a point of local minima of the function f (x) if i) f (a) = 0 ii) f(x) changes sign from negative to positive as x increases through a. That is, f (x) f (x) > 0 for x > a Working Rule for Finding Extremum Values Using First Derivative Test Let f (x) be the real valued differentiable function. Step 1: Find f (x) Step 2: Solve f (x) = 0 to get the critical values for f (x). Let these values be a, b, c. These are the points of maxima or minima. Arrange these values in ascending order. Step 3: Check the sign of f'(x) in the immediate neighbourhood of each critical value. Step 4: Let us take the critical value x= a. Find the sign of f (x) for values of x slightly less than a and for values slightly greater than a. (i) If the sign of f (x) changes from positive to negative as x increases through a, then f (a) is a local maximum value. (ii) If the sign of f (x) changes from negative to positive as x increases through a, then f (a) is local minimum value. (iii) If the sign of f (x) does not change as x increases through a, then f (a) is neither a local maximum value not a minimum value. In this case x = a is called a point of inflection. Maxima and Minima Example Find the local maxima or local minima, if any, for the following function using first derivative test f (x) = x3 62 + 9x + 15 Solution to Maxima and Minima Example f (x) = x3 62 + 9x + 15 f (x) = 32 -12x + 9 = 3(x2- 4x + 3) = 3 (x 1) (x 3) Thus x = 1 and x = 3 are the only points which could be the points of local maxima or local minima. Let us examine for x=1 When x f (x) = 3 (x 1) (x 3) = (+ ve) (- ve) (- ve) = + ve When x >1 (slightly greater than 1) f (x) = 3 (x -1) (x 3) = (+ ve) (+ ve) (- ve) = ve The sign of f (x) changes from +ve to -ve as x increases through 1. x = 1 is a point of local maxima and f (1) = 13 6 (1)2 + 9 (1) +15 = 1- 6 + 9 + 15 =19 is local maximum value. Similarly, it can be examined that f (x) changes its sign from negative to positive as x increases through the point x = 3. x = 3 is a point of minima and the minimum value is f (3) = (3)3- 6 (3)2+ 9(3) + 15 = 15 Theorem on Second Derivative Test Let f be a differentiable function on an interval I and let a I. Let f (a) be continuous at a. Then i) a is a point of local maxima if f (a) = 0 and f (a) ii) a is a point of local minima if f (a) = 0 and f (a) > 0 iii) The test fails if f (a) = 0 and f (a) = 0. In this case we have to go back to the first derivative test to find whether a is a point of maxima, minima or a point of inflexion. Working Rule to Determine the Local Extremum Using Second Derivative Test Step 1 For a differentiable function f (x), find f (x). Equate it to zero. Solve the equation f (x) = 0 to get the Critical values of f (x). Step 2 For a particular Critical value x = a, find f (a) (i) If f (a) (ii) If f (a) > 0 then f (x) has a local minima at x = a and f (a) is the minimum value. (iii) If f (a) = 0 or , the test fails and the first derivative test has to be applied to study the nature of f(a). Example on Local Maxima and Minima Find the local maxima and local minima of the function f (x) = 23 212 +36x 20. Find also the local maximum and local minimum values. Solution: f (x) = 62 42x + 36 f (x) = 0 x = 1 and x = 6 are the critical values f (x) =12x 42 If x =1, f (1) =12 42 = 30 x =1 is a point of local maxima of f (x). Maximum value = 2(1)3 21(1)2 + 36(1) 20 = -3 If x = 6, f (6) = 72 42 = 30 > 0 x = 6 is a point of local minima of f (x) Minimum value = 2(6)3 21 (6)2 + 36 (6)- 20 = -128 Absolute Maximum and Absolute Minimum Value of a Function Let f (x) be a real valued function with its domain D. (i) f(x) is said to have absolute maximum value at x = a if f(a)  ³ f(x) for all x ÃŽ D. (ii) f(x) is said to have absolute minimum value at x = a if f(a)  £ f(x) for all x ÃŽ D. The following points are to be noted carefully with the help of the diagram. Let y = f (x) be the function defined on (a, b) in the graph. (i) f (x) has local maximum values at x = a1, a3, a5, a7 (ii) f (x) has local minimum values at x = a2, a4, a6, a8 (iii) Note that, between two local maximum values, there is a local minimum value and vice versa. (iv) The absolute maximum value of the function is f(a7)and absolute minimum value is f(a). (v) A local minimum value may be greater than a local maximum value. Clearly local minimum at a6 is greater than the local maximum at a1. Theorem on Absolute Maximum and Minimum Value Let f be a continuous function on an interval I = [a, b]. Then, f has the absolute maximum value and f attains it at least once in I. Also, f has the absolute minimum value and attains it at least once in I. Theorem on Interior point in Maxima and Minima Let f be a differentiable function on I and let x0 be any interior point of I. Then (a) If f attains its absolute maximum value at x0, then f (x0)= 0 (b) If f attains its absolute minimum value at x0, then f (x0) = 0. In view of the above theorems, we state the following rule for finding the absolute maximum or absolute minimum values of a function in a given interval. Step 1: Find all the points where f takes the value zero. Step 2: Take the end points of the interval. Step 3: At all the points calculate the values of f. Step 4: Take the maximum and minimum values of f out of the values calculated in step 3. These will be the absolute maximum or absolute minimum values. Real life Problem Solving With Maxima And Minima For a belt drive the power transmitted is a function of the speed of the belt, the law being P(v) = Tv av3 where T is the tension in the belt and a some constant. Find the maximum power if T = 600, a = 2 and v 12. Is the answer different if the maximum speed is 8? Solution First find the critical points. P = 600v 2v3 And so = 600 6v2 This is zero when v =  ±10. Commonsense tells us that v 0, and so we can forget about the critical point at -10. So we have just the one relevant critical point to worry about, the one at x = 10. The two endpoints are v = 0 and v = 12. We dont hold out a lot of hope for v = 0, since this would indicate that the machine was switched off, but we calculate it anyway. Next calculate P for each of these values and see which is the largest. P(0) = 0  ,  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  P(10) = 6000 2000 = 4000  ,  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  P(12) = 7200 3456 = 3744 So the maximum occurs at the critical point and is 4000. When the range is reduced so that the maximum value of v is down to 8, neither of the critical points is in range. That being the case, we just have the endpoints to worry about. The maximum this time is P(8) = 4800 1024 = 3776. A box of maximum volume is to be made from a sheet of card measuring 16 inches by 10. It is an open box and the method of construction is to cut a square from each corner and then fold. Solution Let x be the side of the square which is cut from each corner. Then AB = 16 2x, CD = 10 2x and the volume, V, is given by V = (16 2x)(10 2x)x = 4x(8 x)(5 x) And so = 4(x3-132+40x) =4(32-26x+40) The critical points occur when 32 26x + 40 = 0 i.e.  when x =   = The commonsense restrictions are 5 x 0.So the only critical point in range is x = 2. Now calculate V for the critical point and the two endpoints. V(0) = 0  ,  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  V(2) = 144  ,  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  V(5) = 0 So the maximum value is 144, occurring when x = 2. Uses of Maxima and Minima in War. Concepts of maxima and minima can be used in war to predict most probably result of any event. It can be very helpful to all soldiers as it help to save time. Maximum damage with minimum armor can be predicted via these functions. It can be helpful in preventive actions for military. It is use dto calculate ammunition numbers, food requests, fuel consumption, parts ordering, and other logical operations. It is also helpful in finding daily expenditure on war.

Anorexia and Bulimia - A Threat to Society Essay -- essays research p

In a society that discriminates against people, particularly women, who do not look slender, many people find they cannot - or think they cannot - meet society's standards through normal, healthy eating habits and often fall victim to eating disorders. Bulimia Nervosa, an example of an eating disorder that is characterized by a cycle of binge eating and purging, has become very common in our society. Although it generally affects women, men too are now coming to clinics with this kind of disease. This is not a new disorder. It can be brought on by a complex interplay of factors, which may include emotional, and personality disorders, family pressures, a possible genetic or biologic susceptibility, and a culture in which there is an overabundance of food and an obsession with thinness. Common signs of this problem are pre-occupation with the body, a need for control and perfection, difficult interpersonal relationships, and a low self-esteem. It seems that irrespective of the initial triggers, bulimia can become a rigid pattern, which is difficult to change. The purpose of this paper is to reason out why bulimia is detrimental to our society. It focuses on its bad effect to the health of an individual and to the society. Perhaps you do not have this kind of eating disorder but you are definitely affected by it. Bulimia nervosa is a serious, potentially life-threatening eating disorder characterized by a secretive cycle of bingeing and purging. Binge eating is the uncontrolled consumption of large amounts of food lasting a few minutes to several hours. Purging or ridding the body of food eaten during a binge through self-induced vomiting, laxatives, fasting, severe diets, or vigorous exercise follows this. The cause of bulimia is really unknown. It may develop due to a combination of emotional, physical, and social triggers. The precise reasons for developing it are probably different for each person. Bulimia is more common in western societies, and some people link them to media images of thinness. Being thin is often linked to being successful. Bulimia may occur in several family members. People who have a mother or sister with an eating disorder are more likely to develop one, although it is not clear whether this is due to genetic factors or the learning of certain behaviors. Bulimia ner vosa can be extremely harmful to the body. The recurrent binge-and-pu... ...bulimia is and encourage them to fight this kind of disorder. If we will not work it out, this can influence more people leading to a malfunction society because we all know that bulimia is actually detrimental to our society. BIBLIOGRAPHY: Bulimia nervosa. Workplace Blues. Retrieved January 6, 2005, from http://www.workplaceblues.com/mental_health/healthcons.asp BUPA’s Health Information Team. (2003 November). Bulimia nervosa. BUPA. Retrieved January 6, 2005, from http://hcd2.bupa.co.uk/fact_sheets/pdfs/Bulimia.pdf Clark, D. & MacMahon B. (1981). Preventive and Community Medicine 2nd Ed. Boston: Little, Brown and Company. Eating disorder. Bambooweb. Retrieved January 6, 2005, from http://www.bambooweb.com/articles/e/a/Eating_Disorder.html Eating disorders. MoDMH: Division of Comprehensive Psychiatric Services. Retrieved January 6, 2005, from http://www.dmh.missouri.gov/cps/facts/eating.htm Eating disorders. Perth Clinic. Retrieved January 6, 2005, from http://www.perthclinic.com.au/treatmentprograms/eatingdisorders.html Mongeau E. (2001 February). Eating disorders: a difficult diagnosis. Vital Signs. Retrieved January 6, 2005, from www2.mms.org/vitalsigns/feb01/hcc1.html