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Soal-Soal dan Pembahasan SNMPTN Matematika IPA Tahun Pelajaran 2010/2011 Tanggal Ujian: 01 Juni 2011 1. Diketahui vektor u = (a, -2, -1) dan v = (a, a, -1). Jika vektor u tegak lurus pada v , maka nilai a adalah ... A. -1 B. 0 C. 1 D. 2 E. 3 Jawab: Vektor: vektor u tegak lurus pada v maka u . v = 0 u = −2 , v = −1 −2 . −1 −1 (a – 1) (a-1) = 0 maka a = 1 −1 = a2 – 2a + 1 = 0 (a - 1)2 = 0 Jawabannya adalah C 2. Pernyataan berikut yang benar adalah ... A. Jika sin x = sin y maka x = y B. Untuk setiap vektor u , v dan w berlaku u . ( v . w ) = ( u . v ). w C. Jika b f ( x) dx = 0, maka a D. Ada fungsi f sehingga E. 1 – cos 2x = 2 cos2 x f ( x )= 0 Lim f(x) ≠ f(c) untuk suatu c xc www.belajar-matematika.com - 1 Jawab: Trigonometri, vektor, integral, limit A. Ambil nilai dimana sin x = sin y sin α = sin (1800 – α ) ambil nilai α = 600 sin 600 = sin 1200 ; tetapi 600 ≠ 1200 Pernyataan SALAH B. Operasi u . ( v . w ) tak terdefinisi karena v . w = skalar, sedangkan u = vektor vektor . skalar = tak terdefinisi Pernyataan SALAH C. Ambil contoh cari cepat hasil dimana b f ( x) dx = 0 ; a 1 Didapat b = 1 dan a = -1 maka f(x)= x x dx = 0 1 terbukti : f(x) = x bukan f(x) = 0 x2 | Pernyataan SALAH D. Ambil contoh f(x) = Lim xc f(x) = Lim x 1 ( ( = ( ( ) ( )( ) = ) ( ) Lim f(x) ≠ f(c) 2 ≠ 1 xc ) ( )( ) = ) ( ) =2 Pernyataan BENAR E. 1 – cos 2x = 1 – ( 2cos2 x – 1) = 1 + 1 - 2cos2 x = 2 - 2cos2 x = 2 ( 1 – cos2 x) Pernyataan SALAH Jawabannya adalah D www.belajar-matematika.com - 2 = (1 – 1) = 0 3. Luas daerah di bawah y = -x2 +8x dan di atas y = 6x - 24 dan terletak di kuadran I adalah.... a. ∫ (− b. ∫ (− c. ∫ (− +8 ) +8 ) +8 ) d. ∫ (6 − 24) e. ∫ (6 − 24) Jawab: Integral: +∫ ( + ∫ (− + ∫ (− + ∫ (− + ∫ (− − 2 − 24) + 2 + 24) + 2 + 24) +8 ) +8 ) kuadran I titik potong kedua persamaan : y1 = y2 -x2 +8x = 6x-24 -x2 +8x - 6x+24 = 0 -x2 +2x + 24 = 0 x2 -2x - 24 = 0 (x - 6) (x+4)0 x = 6 atau x = -4 karena di kuadran I maka yang berlaku adalah x = 6 y = 6.6 – 24= 12 berada di titik (6,12) www.belajar-matematika.com - 3 L = ∫ (− = ∫ (− +8 ) +8 ) + ∫ ((− + ∫ (− Jawabannya adalah B + 8 ) − (6 − 24)) + 2 + 24) 4. sin 350 cos 400 - cos 35 sin 400 = A. cos 50 B. sin 50 C. cos 950 D. cos 750 E. sin 750 Jawab: Trigonometri: Pakai rumus: sin (A - B) = sin A cos B - cos A Sin B A= 350 ; B = 400 = sin (350 - 400) = sin -50 Cos (90 0 - ) = sin rumus Cos (90 0 - (-50) ) = sin -50 = -50 Cos 950 = sin -50 Jawabannya adalah C 5. Diketahui g(x) = ax2 – bx + a – b habis dibagi x – 1. Jika f(x) adalah suku banyak yang bersisa a ketika dibagi x – 1 dan bersisa 3ax + b2 + 1 ketika dibagi g(x), maka nilai a adalah...... A. -1 B. -2 C. 1 D. 2 Jawab: Suku Banyak: g(x) = ax2 – bx + a – b habis dibagi x – 1 g(1) = 0 g(1) = a . 1 – b .1 + a – b = 0 =a–b+a–b=0 2a – 2b = 0 2a = 2b a = b karena a = b maka: g(x) = ax2 – ax + a – a = ax2 – ax www.belajar-matematika.com - 4 E. 3 f(x) dibagi dengan f(x-1) sisa a f(1) = a f(x) dibagi dengan g(x) sisa 3ax + b2 + 1 f(x) dibagi dengan ax2 – ax sisa 3ax + b2 + 1 f(x) dibagi dengan ax(x – 1) sisa 3ax + b2 + 1 teorema suku banyak: Jika suatu banyak f(x) dibagi oleh (x- k) akan diperoleh hasil bagi H(x) dan sisa pembagian S f(x) = (x- k) H(x) + S f(x) dibagi dengan ax(x – 1) sisa 3ax + b2 + 1 f(x) = ax (x - 1) H(x) + (3ax + b2 + 1) substitusikan nilai nol dari pembagi yaitu x = 0 dan x = 1 dari ax (x - 1) ambil x = 1 untuk x = 1 f(1) = a . 1 (1 – 1) H(0) + 3a.1 + b2 + 1 a = 0 + 3a + b2 + 1 diketahu a = b, masukkan nilai a = b a = 3a + a2 + 1 a2 + 2a + 1 = 0 (a+1)(a+1) = (a+1)2 = 0 a = -1 Jawabannya adalah A 6. Rotasi sebesar 450 terhadap titik asal diikuti dengan pencerminan terhadap y = -x memetakan titik (3,4) ke .... A. √ B. − Jawab: ,√ √ ,√ C. D. √ √ ,−√ ,−√ E. − Transformasi Geometri: cos Rotasi sebesar 450 terhadap titik asal = sin sin cos 0 1 pencerminan terhadap y = -x 1 0 www.belajar-matematika.com - 5 √ ,√
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Hi my name is _____ and I’m calling from the Bureau of Government Research and Services at Rhode Island College. We are not selling anything; we are conducting a study of issues in the news. Please help us by sharing your opinions. Percentages may not add to 100 percent due to rounding. 3. Are things in Rhode Island are going in the right direction, or have they gotten on the wrong track? 1 Right Direction 11% 2 Wrong Track 83% 3 (VOL) Don’t Know 6% 4. What do you think is the most important problem facing Rhode Island right now? PROBE FOR SPECIFIC _______________________________________________________________ 5. Considering the cost of gas, as compared with past summer vacation plans how likely are you to travel outside Rhode Island by car on vacation this year? Are you: 1 More Likely 5% 2 Just as Likely 32% 3 Less Likely 59% 4 (VOL) Don’t Know 2% 5 (VOL) No Answer 2% 6. Supporters say we should allow drilling for oil in Alaska’s Arctic National Wildlife Refuge to increase oil supplies. Opponents say drilling would damage the environment in an unspoiled part of the nation. Do you approve or disapprove of drilling in the Arctic National Wildlife Refuge in Alaska? 1 Approve 42% 2 Disapprove 50% 3 (VOL) Don’t Know 7% 4 (VOL) Don’t Know 2% 5 (VOL) No Answer 2% 7. In order to help reduce global warming would you be willing or not willing to pay more for electricity if it were generated by renewal sources like the sun or wind energy? 1 Willing 66% 2 Not Willing 25% 3 (VOL) Don’t Know 7% 4 (VOL) No Answer 2% 8. Thinking about gay marriage would you favor or oppose Rhode Island courts having the authority to grant divorces to homosexual couples legally married in Massachusetts now living in Rhode Island? 1 Favor 49% 2 Oppose 39% 3 (VOL) Don’t Know 8% 4 (VOL) No Answer 4% 9. Governor Carcieri issued an Executive Order dealing with illegal immigrants. It requires that the Federal E-Verify system be used to screen state workers and employees of companies doing business with the state and directs certain state agencies to work cooperatively with Federal Immigration and Customs Enforcement personnel in enforcing federal immigration laws. Do you 1 Agree 75% 2 Disagree 18% 3 (VOL) Don’t Know 5% 4 (VOL) No Answer 1% 1 As you know, Rhode Island state government has significant financial problems. I am going to read some of the general assembly’s ideas to balance the budget. Please tell me whether you strongly support, somewhat support, somewhat oppose, or strongly oppose each of the provisions I mention: (ROTATE) Proposal St sp Swh sp Swh op St op DK 10. Freezing non-school state aid to cities 4 3 2 1 0 and towns at this year’s level. 29% 25% 14% 23% 10% 11. Reducing the amount of money 4 3 2 1 0 available for college scholarships 12% 12% 18% 54% 4% awarded to needy students. 12. Imposing a two-year time limit on 4 3 2 1 0 welfare benefits. 48% 19% 12% 18% 4% 13. Capping the amount of tax credits paid 4 3 2 1 0 out to encourage the filming of movies 31% 24% 15% 21% 10% and TV shows in Rhode Island. 14. Reducing the number of low income 4 3 2 1 0 families eligible to receive state 20% 14% 19% 43% 4%
Since it re-opened in 1987, The Park Central Hotel has been a favorite with companies and groups looking for unique meetings or events on South Beach. To request a proposal, please fill out the RFP form located at www.theparkcentral.com MEETINGS & EVENTS www.theparkcentral.com RECEPTION MAX 70 BANQUET MAX 50 THEATER MAX 60 FLORIDA ROOM 50' x 40' 700 sq. ft. CONFERENCE MAX 46 U SHAPE MAX 45 HOLLOW SQUARE MAX 28 CLASSROOM MAX 48 BANQUET MAX 20 THEATER MAX 20 IMPERIAL ROOM 23' x 16' 368 sq. ft. CONFERENCE MAX 20 U SHAPE MAX 17 HOLLOW SQUARE MAX 16 CLASSROOM MAX 17 BANQUET MAX 20 THEATER MAX 15 SOUTH MEZZANINE SOUTH MEZZANINE SOUTH MEZZANINE SOUTH MEZZANINE SOUTH MEZZANINE NORTH MEZZANINE NORTH MEZZANINE NORTH MEZZANINE NORTH MEZZANINE NORTH MEZZANINE MEZZANINE ROOMS CONFERENCE SOUTH: MAX 10 NORTH: MAX 16 U SHAPE SOUTH: MAX 9 NORTH: MAX 17 HOLLOW SQUARE NORTH: MAX 16 CLASSROOM SOUTH: MAX 8 NORTH: MAX 12 SOUTH MEZZANINE 17' x 13' 221 sq. ft. NORTH MEZZANINE 18' x 17' 306 sq. ft. 640 Ocean Drive, Miami Beach, Florida, 33139 Phone: 305.538.1611 Fax: 305.534.7520 Email: email@example.com
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At the 1924 Congress, FIFA agreed to assume responsibility for the organisation of the Olympic Football Tournament by ratifying the proposal that “on condition that the Olympic Football Tournament takes place in accordance with the Regulations of FIFA, the latter shall recognise this as a world football championship”. The 1924 tournament was a great success with 60,000 spectators following the final between Uruguay and Switzerland. The South Americans won 3-0 and were celebrated as World Champions in Montevideo. South America’s predominance was even more impressive at the Olympic Football Tournament in Amsterdam in 1928. Against next-door neighbour Argentina, Uruguay did not want to relinquish their victory on that occasion. This resonance at the Olympic Games intensified FIFA’s wish for its own World Championship. FIFA President Jules Rimet was the driving force in the search for the means to materialise this dream. Following a proposal of the Executive Committee, the FIFA Congress in Amsterdam on 26 May 1928 decided to stage an official FIFA World Championship: the World Cup was born! One year later Uruguay, twice Olympic Champions, planning the celebration of its 100th anniversary of independence in 1930, were assigned the organisation of the first FIFA World Cup™. The first FIFA World Cup™ FIFA’s decision to hold the first World Cup in Uruguay did not only meet acclaim, as Europe was plunged in the midst of an economic crisis. Participation in a World Cup taking place overseas, involved a long sea journey. Moreover, for the clubs it meant they had to renounce their best players for two months. Thus, more and more European associations broke their promise to participate. Thanks to Rimet’s personal efforts, at least four Belgium, France, Yugoslavia and Romania - set off on the long journey. The World Cup, opened at the Estadio Centenario on 18 July 1930, became a remarkable success, both in a sporting and financial sense. On 30th July, the first World Cup final saw the same fixture as two years before at the Olympic Football Tournament. Being 2-1 down at half-time, Uruguay raised the rhythm of their play, regained the lead and - cheered on by the majority of the 93,000 crowd - finally won 4-2. The organisers on the other hand were disappointed at the fact that only four European teams participated. The anger in Montevideo was so intense that four years later, the World Champions - for the first and only time - renounced defending their title
The long fight to reform Michigan's no-fault auto insurance system might be coming to a head. Republican leaders laid out a new proposal Thursday that would place a cap on the now-unlimited medical claims and force insurers to their rates for now. House Speaker Jase Bolger, R-Marshall, announced the plan, citing the fact Michigan drivers pay some of the highest premiums on car insurance in the country.
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It is important to use a step by step organized approach to develop packaging design. Among other things, it helps to define which steps are client responsibilities and which are responsibilities of the design firm. 1. The first step in the process is for the client to describe the assignment to the design firm, assemble all relevant information and materials, list product benefits and key points in their priority of importance and clarify any mandatories. A “mandatory” is something that is required for the category or company. A “category” example would be the legal way a product should be described. A “company” example could be that the company president doesn’t like the color red. That means that the designer won’t use red! 2. The second step is for the design firm to prepare a proposal for the client. The proposal should include the designer’s understanding of the assignment and responsibilities, and how the designer plans to execute the assignment, spelling out deliverables, timetables and costs for each module or phase in the process. 3. The third is the most important step in the design process and it has nothing to do with graphics. The client and/or the design firm must develop a Communications Strategy that includes a strong USP - Unique Selling Proposition - (sometimes referred to as a Brand Positioning or the Brand Essence) as well as specific design direction for the specific project. The USP gives the trade and consumer a clear understanding of what makes your product different and better than your competition. There is nothing more important to the designer than to have a clear, powerful Brand Positioning to execute.