C2 Paper

Paper Reference(s) 6664 Edexcel GCE Core Mathematics C2 Advanced Subsidiary Tuesday 10 January 2006 ? Evening Time: 1 hour 30 minutes Materials required for assessment Mathematical Formulae (Green) Items included with question papers Nil Candidates may utilize any adding machine EXCEPT those with the office for emblematic variable based math, separation or potentially joining. Accordingly applicants may NOT utilize adding machines, for example, the Texas Instruments TI 89, TI 92, Casio CFX 9970G, Hewlett Packard HP 48G. Guidelines to Candidates In the crates on the appropriate response book, compose the name of the looking at body (Edexcel), your inside number, competitor number, the unit title (Core Mathematics C2), the paper reference (6664), your family name, other name and mark. At the point when a mini-computer is utilized, the appropriate response ought to be given to a suitable level of precision. Data for Candidates A booklet ‘Mathematical Formulae and Statistical Tables’ is given. Full stamps might be acquired for answers to ALL inquiries. The imprints for singular inquiries and the pieces of inquiries are appeared in round sections: e. g. (2). There are 9 inquiries on this paper. The complete imprint for this paper is 75. Guidance to Candidates You should guarantee that your responses to parts of inquiries are unmistakably marked. You should demonstrate adequate attempting to make your techniques understood to the Examiner. Answers without working may pick up no credit. N23552A This distribution may just be imitated as per Edexcel Limited copyright strategy.  ©2006 Edexcel Limited. 1. Given that f(1) = 0, (x) = 2ãâ€"3 + x2 †5x + c, where c is a consistent. (a) discover the estimation of c, (2) (b) factorize f(x) totally, (4) (c) discover the rest of f(x) is isolated by (2x †3). (2) 2. (a) Find the initial 3 terms, in rising forces of x, of the binomial extension of (1 + px)9, where p is a consistent. (2) The initial 3 terms are 1, 36x and qx2, where q is a consistent. (b) Find the estimation of p and the estimation of q. (4) N23552A 2 3. y B Figure 1 C P O A x In Figure 1, A(4, 0) and B(3, 5) are the end purposes of a distance across of the circle C. Discover (a) the specific length of AB, (2) (b) the directions of the midpoint P of AB, (2) (c) a condition for the circle C. (3) 4. The main term of a geometric arrangement is 120. The entirety to boundlessness of the arrangement is 480. (a) Show that the basic apportion, r, is 3 . 4 (3) (b) Find, to 2 decimal places, the contrast between the fifth and sixth terms. (2) (c) Calculate the whole of the initial 7 terms. (2) The whole of the principal n terms of the arrangement is more noteworthy than 300. (d) Calculate the littlest conceivable estimation of n. (4) N23552A 3 5. Figure 2 A 6m 5m B O In Figure 2 OAB is a segment of a circle, range 5 m. The harmony AB is 6 m long. 7 ? . (a) Show that cos AOB = 25 (2) ? (b) Hence discover the edge AOB in radians, offering your response to 3 decimal spots. (1) (c) Calculate the region of the area OAB. (2) (d) Hence figure the concealed region. (3) 6. The speed, v m sâ€1, of a train at time t seconds is given by v = ? (1. 2t †1), 0 ? t ? 30. The accompanying table shows the speed of the train at 5 second stretches. t v 0 5 1. 22 10 2. 28 15 20 6. 11 25 30 (a) Complete the table, giving the estimations of v to 2 decimal spots. 3) The separation, s meters, went by the train in 30 seconds is given by ? s = ? ? (1. 2 t ? 1) dt . ?0 (b) Use the trapezium rule, with all the qualities from your table, to assess the estimation of s. (3) 30 N23552A 4 7. The bend C has condition y = 2ãâ€"3 †5ãâ€"2 †4x + 2. (a) Find dy . dx (2) (b) Using the outcome from section (a), discover the directions of the defining moments of C. (4 ) d2 y (c) Find . dx (2) (d) Hence, or something else, decide the idea of the defining moments of C. (2) 8. (a) Find all the estimations of ? to 1 decimal spot, in the stretch 0? ? ? < 360? for which 5 sin (? + 30? ) = 3. (4) (b) Find all the estimations of ? , to 1 decimal spot, in the span 0? ? ? < 360? for which tan2 ? = 4. (5) N23552A 5 9. y Figure 3 2 A R B O x Figure 3 shows the concealed district R which is limited by the bend y = â€2ãâ€"2 + 4x and the 3 line y = . The focuses An and B are the purposes of crossing point of the line and the bend. 2 Find (a) the x-directions of the focuses An and B, (4) (b) the specific region of R. (6) TOTAL FOR PAPER: 75 MARKS END N23552A 6

Psychological and Physical Aspects of Drug Abuse in Adolescent Communit

Tragically the maltreatment of unlawful medications isn't exceptional in today’s youthful networks. Numerous youngsters today utilize unlawful medications as an approach to manage regular weights, for example, school, after school employments, sports exercises, abusive behavior at home and companion pressure. Immaturity has been seen as a time of debilitating bonds with guardians and reinforcing bonds with peers (Flay, 1994). Various states have encountered an expansion in sedate related passings (http://www.usdoj.gov/dea/details). More than 1 of every 10 of today’s youth matured 12-17 were present clients of medications in 1999 (www.usdoj.gov/dea/details). The quantity of youthful adults’ matured 18 to 25 utilizing unlawful medications in 1999 was at a high of 17.1 percent (www.usdoj.gov/dea/details). In this paper I will portray probably the most mainstream sedates in today’s youthful networks and why the utilization of unlawful medications is generally normal between the ages of 12 through 25. I will likewise portray what the indications are in an individual with a medication issue and how you can help. Among secondary school and understudies, the medication pot is most as often as possible utilized in America today. Cannabis is a tobacco-like substance that fluctuates in its strength, contingent upon the source and determination of plant materials utilized (http://www.well.com). Cannabis is normally smoked as approximately moved cigarettes called â€Å"joints, burrowed out business stogies called â€Å"blunts† and in water pipes called â€Å"bongs†. Road names for Marijuana incorporate pot, grass, cannabis, weed, Mary Jane, Acapulco Gold, dope, and reefer. At the point when Marijuana is smoked, THC goes rapidly into the blood through the lungs. It at that point goes to the mind and this is the point at which the â€Å"high† is felt. This can occur inside a couple of moments and can last as long as five hours. Ther... ...ids and youthful grown-ups keep on disregarding the perils that medication misuse may cause. Medication use and its anticipation are reliant on the understanding qualifications with in every one of the accompanying gatherings - their standards, message styles, and language (Miller/Alberts/Hecht/Trost/Krizek, 2000, page 107). On the off chance that you believe that somebody you know is dependent on drugs kindly don't overlook it. There are numerous sites, advising focuses, and tranquilize recovery programs that can help. We ought not keep on disregarding the issue, rather we should attempt to discover an answer. List of sources: REFERENCES 1.) Miller/Alberts/Hecht/Trost/Krizek (2000). Juvenile Relationships and Drug Use: Mahwah, NJ: LAWRENCE ERLBAUM ASSOCIATES, PUBLISHERS. 2.) Sora, J. (1997) Substance Abuse. The H.W. Wilson Company New York 3.) Torr, J. (1999) Drug Abuse â€Å"Opposing Viewpoints†. Greenhaven Press,.Inc .

MIT Application August 19

MIT Application August 19 The MIT Freshman Application will open on August 19th. Our application deadlines for this year remain unchanged: November 1 for Early Action (EA), and January 1 for Regular Action (RA). While there are still a few weeks before our application opens, there are some things you can be doing in the meantime: Making a list, spreadsheet, or Google Doc of the various deadlines and requirements for all of the universities to which youll be applying (including the financial aid deadlines and requirements). By getting yourself organized now, youre less likely to make an error down the road. Identifying your recommenders. We will require two letters of recommendation: one from a math/science teacher and one humanities teacher. Once you have chosen which teachers you would like to write on your behalf, it is a good idea to have a conversation with each teacher about a) if they would be willing to write you a recommendation for college; b) which colleges youre applying to and why. I find that having a thoughtful conversation with your teachers really helps in the process. Talking with your guidance counselor. We will require that your guidance counselor (or equivalent) complete our Secondary School Report, which does include a letter that they write about you, in addition to your transcript and a school profile. Ensuring that you have the required standardized tests. At MIT, we require the SAT Reasoning Test, ACT Plus Writing, or TOEFL; and 2 SAT Subject Tests: one in math, one in science. If you havent yet fulfilled these requirements, I recommend registering for the tests now. For EA, we can accept tests through the November testing date; for RA, through the January testing date. Thinking about deadlines, including Early Action vs. Regular Action. US citizens and permanent residents can choose to apply for either deadline. Note that MITs Early Action program is non-binding and non-restrictive. Spending some time being thoughtful and reflective about your life, your influences, and your aspirations. This will be very helpful as we ask you to interview with an MIT alum and ask you to write about your experiences in some short answer essay questions. Remember that there is no rush to get your application in first! We do not read applications on a first-come, first-served basis. An article in the New York Times last year summed this up well: But as more students each year seek to get the earliest possible jump on the nerve-racking process of applying to college, as if they were securing tickets to a soon-to-be-sold-out rock concert, the deans of admission at N.Y.U. and elsewhere are sounding a cautionary note. They say that there is no reason to apply five months in advance, let alone two, and that they are far more inclined to put a premium on thoughtfulness and contemplation than speed. I wish you a thoughtful and anxiety-free application season, and a great senior year!