Abortion & Divorce Essay Example | Topics and Well Written Essays - 500 words

Abortion & Divorce - Essay Example Hence if an abortion is performed at any stage between conception and birth, it is nothing but murder, and those guilty of such murder include the mother, the operating doctor, and the lawmakers of the country who do not enact laws to prohibit it. Secondly, several medical problems {like infertility, miscarriage and premature births} can surface due to abortions that will scar the future of women greatly. The medical problems aspect takes on terrifying dimensions when the possibility of developing breast cancer {recent medical research firmly links abortion to breast cancer} is added. Thirdly, there is no world religion that condones abortion and this is reflected in all religious books {including the Bible whose Tenth Commandment states: â€Å"Thou shall not kill†}. Apart from the above 3 arguments, the two main pro-abortion stances have no solid foundation, namely, that it is a symbol of feminine liberty {a favorite feminist argument}, and that it saves women from the high cost and danger of travelling to other countries to undergo secret operations. Today, with the massive advancement of science and technology, a large number of birth control methods are available to women to choose from like abstinence during certain days of the month, sterilization, male and female condoms, diaphragms perhaps the most commonly used oral contraceptive – The Pill, which in its latest version can even be effectively taken 72 hours after sexual intercourse. In conclusion, abortion, when viewed through the prisms of the most highly prized concepts of mankind {morality and religion}, besides having several other drawbacks as discussed above, cannot be pronounced as ‘good.’ The fact that many abortion cases in the U.S involve young, unmarried women clearly shows that legalized abortion is wrongly being used by the younger generation to indulge in promiscuous sex. The esteemed lawmakers of our nation should stop the rot by prohibiting abortion. Divorce refers to

Competitive Advantage Assignment Example | Topics and Well Written Essays - 250 words

Competitive Advantage - Assignment Example All these factors create competitive advantages for a company in different ways and need be looked into so that in case one fails, the others can still remain relevant for a company. In relation to cost, it entails a firm being in able to offer its products and services at reasonable prices and still make profits. To attain this, a firms recruits labor and conducts education and training forums to keep them up to date with the company’s expectations and save on production costs. On the aspect of differentiation, a company will want to create an advantage on its products with respect to branding, quality as well as innovation among other issues. The main aim of differentiating goods and services ought to be, to satisfy each customer’s needs and give quality for money paid (Pearce & Robinson, 2012). Every customer wants to feel good about a particular brand purchased, and have the willingness to purchase it another time comfortably. Speed should also be factored in a company’s competitive advantage since; it provides efficiency in the delivery of goods and services. Consequently, having fair and reliable distribution channels is an added advantage to any company. A reliable delivery service with a strong distribution network plays a major role in attracting a large client base for the company (Pearce & Robinson,

Important actors Essay Example for Free

Important actors Essay The study of international relations has paved the way for the inclusion of important actors that contribute to the overall functions of practice in the international arena. In the course of time, actors involve in the practice has constantly been increasing due to the expansion of practice and scope in the area. Thus, there is a need to look into these actors and carefully assess their capabilities in promoting interests in the international arena. One important actor in international relations is the state. The capability of course by the state to formally promote relations with other actors circumvents primarily on its capabilities to function as one. According to (Williams, 2005, p. 2) â€Å"the contemporary nation-state is characterized by jurisdiction over territory, a political and administrative apparatus and the state recognizes no higher constitutional authority than itself. † Besides states, there are also other actors involve in the practice of international relations. Examples are individual actors, organizations, agencies and groups who also can help promote the functions of a state or the whole. According to (Williams, 2005, p. 2) â€Å"because individuals, groups and organizations acting in the name of the state are also sensitive to pressures and constraints other than international ones, including elite maintenance, electoral politics, public opinion, pressure group activities, ideological preferences, and bureaucratic politics. † In the course of history, there also had been developments in the international arena that paved the way for the emergence of transnational actors. Examples of these actors are transnational corporations and non-governmental organizations. They seek to promote the overall endeavors in the international arena. At the same time, as the world becomes more globalized, the tendency is there is a deeper avenue for them to promote their interests in the international arena. In the course of history, there had been tendencies of shifting of actor concentration in the international arena. That is why it is good to compare and contrast each actor’s importance in the practice of international relations. Looking at it, actor’s in international relations are primarily concerned in promoting their own interests. These interests are beneficial in the overall aim of the actor for its continued growth and sustenance. Looking at the point of view of interests, there are differences present between different actors in the international arena. A state may pursue its interest based on its overall welfare and capabilities. On the other hand, it may be different among other actors in international arena. An NGO may promote its interests founded on the protection of its ideology and welfare of its aim. Also, for transnational corporation, they seek to promote interests that are centered in creating benefits that would enhance their status in the international arena. With regards to relationship between nations, actors in international relations seek different mechanisms that will create an enhanced cooperation among different actors depending on the issue and interests being talked about. In addition, there has been an expansion of different theoretical paradigms to explain and argue on how actors affect different issues in the international arena. Thus, actors contribute greatly to the practice of international relations. There had been different theories and paradigms to suggest how these actors contribute to the overall process in the international arena. Lastly, these actors are primarily motivated due to their individual interests that motivate them to act accordingly. Work Cited T. L Williams. ‘Actors in International Relations. ’ 2005 accessed December 11, 2007; from http://209. 85. 175. 104/search? q=cache:I3UEDQx9zakJ:www. wadsworthmedia. com/marketing/sample_chapters/0534631894. pdf+actors+in+international+relationshl=tlct=clnkcd=1gl=ph.

Elements of the Marketing Process

Elements of the Marketing Process 1.1 Explain the various elements of the marketing process. Marketing Kotler (2010) defines that Marketing is the social process by which individuals and groups obtain what they need and want through creating and exchanging products and value with others. Marketing is the activity, set of institutions, and processes for creating, communicating, delivering, and exchanging offerings that have value for customers, clients, partners and society at large. (American Marketing Association, 2010) Customers Needs, Wants and Demands A successful business starts with knowing the customers. Customers are people who buy products and services from other people such as companies of one sort or another. The company may already know them as friends, neighbors and family but to develop the companys business, it is very important to know what the customers need or want. The needs, wants and demands help the marketers decide the products which they have to offer in the market. Needs Needs are easier to define but very according to social needs, physical needs, individual needs and other factors. The job of marketers is to understand the needs of the customers. Human needs are the basic requirements and include food clothing and shelter. Without these human cannot survive. The products which are under the needs category do not require push. By supplying more closely for the needs of customers, it is mostly successful for the companies which understand the reasons why the customers make the decisions such as what they buy and how they buy. (N.a, 2014) Examples of needs category products transportation sector Wants A difference is frequently made between needs and wants. The marketing concept is the attitude that business decisions should be based on what the consumer wants. (n.a, 2010). Wants are a step ahead of customers needs and also largely depend on the needs of the customers themselves. They are the form of human needs shaped by culture and individual personality (Class notes). For some customers, the wants are simple. On the other hand, other customers may be more specific in their wants. Examples of wants category products Car Demands A step ahead of wants is demands. When a customer wants something which is the best, and also the customer has the ability to buy it, then these wants are changed into demands. The main difference between wants and demands is customers desire. Example of demands category products – BMW Customers Satisfaction Customers satisfaction is a marketing term that relations how products or services supplied by a company meet a customers expectation. Customers satisfaction helps the companies to evaluate their ability in meeting customers needs and expectations effectively. (Zeithaml et al, 2009) Marketing Process The marketing process is the process of analyzing market opportunities, selecting target markets, developing the marketing mix, and managing the marketing effort. Target customers stand at the center of the marketing process. Various Elements of Marketing Process There are various kinds of elements under marketing process. They are – Situational Analysis Marketing Objectives Marketing Strategy Marketing Mix Implementation and Control. Situational Analysis The foundation of the marketing plan, which is known as a situational analysis includes many factors affecting on a business such as Swot analysis, Pestle analysis, Porters five forces and stakeholder analysis. Swot which stands for strengths, weakness, opportunities and threats is to create lists of all of the internal and external strengths, weakness, opportunities and threats to advise strategic planning decisions. Pestle which stands for political, economic, social, technological, legal and environmental is to identify all of the various external factors that might affect a business. A situational analysis can lead the organization of better understanding the factors which will influence its future. (Lorette, 2014) Marketing Objectives The objective is the starting point of the marketing plan. Marketing objectives are goals for the organization which wants to be successful when encouraging its products or services to customers. They should always support the companys mission and goals. They are important because they can show how the company will benefit from marketing, training the employees and managing (Pendergrass, 2013). Every effective goals and objectives are defined by the SMART criteria. SMART stands for Specific Measurable Agreed and Attainable Relevant and Realistic Timetable (class notes) For example – to increase 50 students per month in 2014 to crop at least 70% well-trained students in 2016 Marketing Strategy A strategy is a long-term plan to achieve certain objectives. Therefore a marketing strategy is a marketing plan considered to achieve marketing objectives. STP marketing is a three- step approach to build a target marketing plan. S is for segmentation, T is for targeting and P for positioning (Kokemuller, n.d). Segmentation is essentially a brainstorming activity due to demographics, psychographics, lifestyle, belief and values, life stages, geography, behavior and benefit (Hanlon, 2013). Targeting allows companies to classify the market segments that fit the best with their products. Hanks,(2014) states that Positioning includes the development of a product that the selected target market segment views as unique when compared to similar products in the industry. Marketing Mix Marketing mix is the combination of seven variables under a companys control that can be worked to achieve marketing objectives. Marketing managers use this to produce the best response in the target market. It is important to understand that the marketing mix principles are manageable. (N.a ,2014) Marketing decisions generally fall into the following seven controllable categories named as 7Ps. Product Price Place Promotion People Process Physical Evidence Implementation and Control An effective strategic implementation can determine the outcome of marketing planning. The effectiveness of implementation may be improved by the management of the planning process by building promise and ownership of the plan and its implementation. (N.a, 2013) N.a (2008) states that Strategic Control is the last step of management process, consists of monitoring and evaluating the strategy management process as a whole to ensure that it is operating properly. The basic of control is ability to measure. It compares what should happen actually with what actually happened or is likely to happen. 1.2 Evaluate the benefits and costs of marketing orientation for a selected organization. Production Concept The production concept is a concept where goods are produced without taking into consideration the choices or tastes of the customers. (Manzoor, n.d) Product Concept The customers will prefer products that have better quality, performance, and features as opposite to a normal product in the product concept. This is truly related in some places such as electronics and mobile handsets. Selling Concept The selling concept in marketing is the concept that customers will not automatically buy something they automatically sold. Marketing Concept Riley (2012) defines that A marketing orientated approach means a business reacts to what customers want. The decisions taken are based around information about customers needs and wants, rather than what the business thinks is right for the customer. Most successful businesses take a market-oriented approach. Societal Marketing Concept According to Kotler (2013), Social Marketing is the design, implementation, and control of programs seeking to increase the acceptability of a social idea or practice in a target group. Benefits of Marketing Orientation for MIC Appreciation The promotion of the business can get the appreciation and attention of the targeted students and parents across a wide ranging or specific market. Profits From the market process, the organization can get many profits by improving the attractions of parents and students during marketing yield effects. Adaptability Due to students service or students affair center and students feedback system, the organization can know what happening, feelings, wanting are and what they want to change some services of the school such as rules and teaching methods. Costs of Marketing Orientation for MIC Cost If there are no effect returning, the cost of market research for daily, and weekly or yearly can be one of the disadvantages of marketing orientation. Feedback It is not actually sure or very hard to get effective advices and feedbacks from the targeted students. Time If there are any needs to fix for the organization, too much time will have to be spent for discussions, meetings and so on. References Kotler. P, (2010) what is marketing? How 10 Experts Define It, [Online]. Available at http://www.skylinetradeshowtips.com/what-is-marketing-how-10-experts-define-it/> [Accessed 11th November 2014] American Marketing Association, (2010) what is marketing? How 10 Experts Define It, [Online]. Available at http://www.skylinetradeshowtips.com/what-is-marketing-how-10-experts-define-it/> [Accessed 11th November 2014] N. a, (2014) Marketing Theory. [Online]. Available at http://bussineesscasestudies.co.uk/bussiness-theory/marketing/establishing-customer-needs.html#axzz3lqPnaASn> [Accessed 11th November 2014] N.a (2010) Marketing Principles of MIC, 2nd ed., BPP Learning Media Ltd: London. Zeithaml et al, (2009) Models and theories of customer satisfaction [Online]. Available at http://www.ukessays.com/essays/marketing/models-theories-of-customer-satisfaction-marketing-essay.php> [Accessed 11th November 2014] Lorette. K, (2014) a Situational Analysis of a Strategic Marketing Plan. [Online]. Available at http://smallbusiness.chron.com/situational-analysis-strategic-marketing-plan-1474.html> [Accessed 11th November 2014] Pendergrass. K, (2013) Marketing Objectives as SMART Goals and Part of the Marketing Plan. [Online]. Available at https://www.udemy.com/blog/marketing-objectives/> [Accessed 11th November 2014] Kokemuller. N, (n.d) what is STP marketing? [Online]. Available at http://yourbussiness.azcentral.com/stp-marketing-1769.html> [Accessed 11th November 2014] Hanlon. A, (2013) The Segmentation, Targeting and Positioning model. [Online]. Available at http://www.smartinsights.com/digital-marketing-strategy/customer-segmentation-targeting/segmentation-targeting-positioning-model/> [Accessed 11th November 2014] Hanks. G, (2014) what is STP marketing? [Online]. Available at http://www.ehow.com/info_8693419_stp-marketing.html> [Accessed 11th November 2014] N. a, (2014) what is the Marketing Mix? Description [Online]. Available at http://www.12manage.com/methods_marketing_mix.html> [Accessed 11th November 2014] N.a, (2013) Marketing Strategy Implementation and Control [Online]. Available at http://marketingnotesbook.blogspot.com/2013/01/blog-post.html?m=1> [ Accessed 11th November 2014] N. a, (2008) Strategic Implementation and Strategic Control [Online]. Available at http://managementinnovations.wordpress.com/2008/12/10/strategy-implementation-strategic-control/> [Accessed 11th November 2014] Manzoor. A (n.d) what is the production concept? [Online]. Available at http://science.blurtit.com/77774/what-is-the-production-concept> [Accessed 11th November 2014] Riley. J (2012) Marketing Orientation [Online]. Available at http://www.tutor2u.net/business/gcse/marketing_orientation.htm> [Accessed 11th November 2014] Kotler. P (2013) Social Marketing Concept [Online]. Available at http://www.enotesmba.com/2013/02/social-marketing-concept.html?m=1> [Accessed 11th November 2014]

Comparing Two Views of Gay Marriage Essay -- Compare Contrast Comparis

In their works â€Å"Let Gays Marry,† by Andrew Sullivan and â€Å"Leave Marriage Alone,† by William Bennett, they both talk about the subject of same sex marriages. They both believe that marriage is based off of tradition. However, they debate on if these marriages should be allowed and if they are proper. Sullivan goes on to prove he believes same sex marriages are proper because traditionally it is based off of the principle of love. Bennett proves his point by saying that the conventional ways are the tradition. Andrew Sullivan says that love is the reason people marry one another. No matter the race, creed, or gender love is a strong bond that few people are lucky enough to find. (Sullivan p.25) This country believes in equal rights and opportunities. With this being true all people should be able to choose whom they love and get to marry. Homosexuals do not seek special treatment but an equal and full part in America. (Sullivan p. 25) In a society that always talks of equal rights and opportunity, is it right for the country to condemn these people because they are different in their beliefs of sexuality? One of the conventional ideas as to why people of opposite sex marry is because of procreation. What about all of the married couples who do not have children? Should they not be able to be married? (Sullivan p. 26) Sullivan says that over the years the definition of marriage has changed several times. It has been amended or changed to the times. Women in the marriage were on ce legal property to their husbands, and at one time only people of the same race could marry. (Sullivan p. 26) Should this instance be any different? In his essay, â€Å" Leave Marriage Alone,† Bennett states that marriage is a sacred trad... ...adition. The authors both disagree on what tradition is but they believe that the contract of marriage is based on tradition. Everyone has the right and freedoms to do what he or she pleases. However, there are boundaries. Tolerations for groups are one of the great things this country offers as opposed to other countries. How the judgment of a 4,000 year old tradition versus the tradition of marrying for love is ruled, the country will have to wait. No special treatment is expected or wanted. Equality for all is what is being asked for here. To honor tradition and follow the heart is all that both sides want. Works Cited Gruber, Sibylle, ed. Constructing Others Constructing Ourselves. Dubuque: Kendall/Hunt Publishing Company, 2002. Sullivan, Andrew. â€Å"Let Gays Marry.† Gruber 25-26 Bennett, William. â€Å"Leave Marriage Alone.† Gruber 29-30

The Relationship between Hamlet and the Bible. Essay -- GCSE Coursewor

The Relationship between Hamlet and the Bible.  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚        Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚   It may appear that anything could be twisted into a typological pattern. Such interpretations appear to suffer from the structuralist faults of skating too lightly over actual texts, ignoring details that cannot be forced into a preconceived mold, and robbing narratives of their concrete shapes through abstraction. I would stress that there is more to Shakespeare than typology, but I would also insist that typology is often an important part of his drama. To make this claim plausible, however, requires more detailed attention to the text of his plays. In what follows, I will call attention to the textual and dramatic details that justify a typological reading of Hamlet. Claudius's murder of King Hamlet, the act catalyzing the drama of the play, is presented as a  sin of primordial character and cosmic implications. Claudius confesses that his fratricide parallels the murder of Abel: O, my offense is rank, it smells to heaven; It hath the primal eldest curse upon 't, A brother's murder (3.3.36-38). Hamlet's description of his psychological condition at the beginning of the play pushes the imagery back to the beginning of biblical history: How weary, stale, flat, and unprofitable Seem to me all the uses of this world! Fie on 't! Ah fie! 'Tis an unweeded garden, That grows to seed; things rank and gross in nature Possess it merely (1.2.135-37). Claudius has not only committed fratricide, but regicide. The king being peculiarly the image of God, regicide is a kind of deicide. At least, it is an act of rebellion against divine authority. Claudius is thus not only Cain but Adam.(7) Claudius's sin has, for Hamlet at least, turned Denma... ...y identical to all the other links." (A Theater of Envy, p. 273). Works Cited Erlich, Avi. 1977. Hamlet's Absent Father. Princeton: Princeton University Press. Fineman, Joel. 1980. 'Fratricide and Cuckoldry: Shakespeare's Doubles.' In Representing Shakespeare: New Psychoanalytic Essays, edited by Coppelia Kahn and Murray M. Schwarz. Baltimore and London: The Johns Hopkins Press, 70-109. Fleissner, Robert. 1982. ' "Sullied" Or "Solid": Hamlet's Flesh Once More.' Hamlet Studies 4:92-3. Fowler, Alastair. 1987. 'The Plays Within the Play of Hamlet.' In 'Fanned and Winnowed Opinions': Shakespearean Essays Presented to Harold Jenkins, edited by John W. Mahon and Thomas A. Pendleton. London and New York: Methuen. Freud, Sigmund. 1953-74. The Standard Edition of the Complete Psychological Works. 24 vols, trans. James Stachey. London: Hogarth.   

Math Portfolio Ib Circles

MATHS PORTFORLIO SL TYPE I CIRCLES ? In this portfolio I am investigating the positions of points in intersecting circles. (These are shown on the following page. The following diagram shows a circle C1 with centre O and radius r, and any point P. The circle C2 has centre P and radius OP. Let A be one of the points of intersection of C1 and C2. Circle C3 has the centre A, and radius r. The point P? is the intersection of C3 with (OP). This is shown in the diagram below. As shown on the assignment sheet, r=OA. We therefore need to find the values of OP? hen r=OA=1 for the following of the values of OP: OP=2, OP=3 and OP=4. We first of all extract the triangle OPA from the above diagram and since we have the values for all the three sides we can finds the angle AOP which will later on help to get the value of length OP?. The circle C2 and triangle OPA are shown below with all side of OPA indicated. OP=AP since they are the radii of the same circle, C2. Having all the three sides, we ca n now calubulate the angle AOP using the cosine rule. Angle AOP is calculated below: Cos AOP=(2^(2 _ ) 2^(2 _ ) 1^2)/(-2? 2? 1) Cos AOP=0. 25 ? AOP =COS-10. 5 =75. 52248781 ?75. 5? Since we now having the triangle AOP, we can extract the triangle AOP? from the diagram shown on the previous page which in return will help us to find OP? using the sine rule. The triangle AOP? is shown below: O P For accuracy the value of angle AOP will be used as cos-10. 25 instead of 75. 5?. Since triangle AOP? is an isosceles triangle, AOP=AP? O=cos-10. 25. Therefore OAP? = (180-(2? cos-10. 25)). The calculation of the value of OP? is shown below: (OP? )/(sinOAP? )=(AP? )/(sinAOP? ) (OP? )/sin? (180-(2 cos? ^(-1) 0. 25) ) =1/sin? (? cos? ^(-1) 0. 5) op? = 1/sin? (0. 25) ? (180-(2 cos? ^(-1) 0. 25) ) op? =1/2 When OP=3, the triangle OPA and the calculation of OP? are as follows: Cos AOP = (3^2-3^2-1^2)/(-2? 3? 1) Cos AOP = 1/6 ? AOP = cos-1 1/6 =84. 4? From the triangle AOP? we can now calculate the l ength of OP? using the sine rule as before. The triangle AOP? and the calculator of OP? is shown below: A 16 OP' AP? O=AOP? =cos-11/6 OAP? = (180-(2 cos? ^(-1) 1/6) (OP? )/(sinOAP ? )= (AP? )/(sinAOP? ) (OP? )/sin? (180-(2 cos? ^(-1) 1/6) ) =1/sin? (? cos? ^(-1) 1/6) op? = 1/sin? (1/6) ? (180-(2 cos? (-1) 1/6) ) = 1/3 When OP=4; Cos AOP =(4^2-4^2-1^2)/(-2? 4? 1) Cos AOP = 1/8 ? AOP =cos-1 1/8 =82. 4? Using the sine rule; (OP? )/(sinOAP ? )= (AP? )/(sinAOP? ) (OP? )/sin? (180-(2 cos? ^(-1) 1/8) ) =1/sin? (? cos? ^(-1) 1/8) op? = 1/(sin? (? cos? ^(-1 ) 1/8))? (180-(2 cos? ^(-1) 1/8) ) = 1/4 When OP=2, OP? = 1/2;when OP=3 , OP? = 1/3 and when OP=4, OP? = 1/4 . This indicates that the value of OP? is dependent on the value of OP. In fact it is inversely proportional to the value of OP.To arrive at the value of OP? , 1 is divided by the value of OP. Therefore generally, the value of OP' can be written as: OP=r/OP Moreover, from the values of OP? calculated above, it is observed that the value of OP? is twice Cos AOP. The general statement therefore can be written as: OP? = 2 Cos? Let OP=2. Find OP? when r=2, r=3 and r=4. Describe what you notice and write a general statement to represent this. Comment on whether or not this statement is consistent with your earlier statement. First of all we need to calculate the value of OP? when OP=2 and r=2. The triangle AOP now looks like as follows:A 22 1. 5P' Since all the sides are of the same length, then AOP=APO=OAP=60Â ° (according to the angle sum of the triangle). The triangle AOP? is shown below from which OP? is found. A 22 O2P' AO=AP? from the diagram given on the lab sheet, therefore AOP=APO=60Â °. The remaining angle OAP= (180-(2? 60)) = 60Â °. This then means that triangle AOP? is an equilateral triangle – all its sides are the same. ?AO=AP? =OP? =2 We now need to calculate the value of OP? when OP=2 and r=3. Below is the triangle AOP and the calculation of angle AOP. 22 3 Cos AOP = (2^2-2^2-3^2)/(-2? 2? 3) Cos AOP = 3/4 AOP = cos-1 3/4 = 41. 4Â ° Having calculated the value of angle AOP, we can now calculate the value of OP? from AOP? using the sine rule as shown below: A 33 O P? Angle OAP? = 180-(2 Cos? ^(-1) 3/4) (OP? )/(sinOAP ? )= (AP? )/(sinAOP? ) (OP? )/sin? (180-(2 cos? ^(-1) 3/4) ) =1/sin? (? cos? ^(-1) 3/4) op? = 1/sin? (? cos? ^(-1) 3/4) ? (180-(2 cos? ^(-1) 1/8) ) =9/2=4. 5 The value of OP? is now calculated when OP=2 and r=4 using the same method as above. 22 O4P 44 P? Cos AOP = (2^2-2^2-4^2)/(-2? 2? 4) Cos AOP = 1 ? AOP = cos-1 1= 0AOP? =AP? O=0 ?OAP? =180-(2? 0) = 180Â ° OP? 2= OA2+ AP? 2-2? OA? AP? Cos OAP? = 42+42-2? 4? 4 Cos 180Â ° = 64 OP? = v64 = 8 Below is the table for the vales of r, OP and OP' when OP is kept constant. ROPOP' 222 324. 5 428 When OP=2, OP? =2; when OP=3, OP? = ( 9)/2 and when OP=4, OP? =8. From these results it can be seen that the length OP? increases with the increasing length OP and the general statement for the variation in the values of OP? is as follows: OP? = r^2/OP. This general statement is not fully consistent with the first one because r/OP is not always equal to r^2/OP.When the above values are substituted into the first general statement, wrong values of OP? are obtained but the latter general statement holds for both data. However both the general statements hold true when r=1 since 12=1, which indicates that for this value of r, r^2/n=r/n. Use technology to investigate other values of r and OP. Find the general statement of OP?. I used GeoGebra to draw the intersecting circles with the values of r and OP stated and the values of OP? were automatically calculated. When r=1and OP=2 OP=0. 5