Found 3547 related files. Current in page 1
The Top-Flo® name represents the finest in sanitary process equipment. TOP-FLO® pumps have been designed to offer efficient transfer of product over a wide range of head and viscosity conditions. TOP-FLO® pumps are easy to install, clean, and operate. This catalog will answer many of the questions you may have regarding TOP-FLO® pumps. If you require additional information, a representative will be happy to assist you and can be reached at 1-800-458-6095. TOP-FLO® pumps are suitable for use in CIP (clean-in-place) installations. This feature enables easy self-cleaning with no dismantling or take-down. Sanitizing of all product contact areas is automatic. All TOP-FLO® pumps are available in standard inlet sizes and outlet sizes. In addition, enlarged inlet sizes are available for... Motor Data is not included as part of 4-step ordering number. Provide the following information: • Horsepower and RPM TF-C100, TF-C114, TF-C216, TF-C218, TF-C328 • Electrical phase and voltage Note: • TEFC is standard • TF-C Series furnished without legs unless otherwise specified on order. If motor is furnished from another source, supply the following: • Casing Gaskets: BUNA (Standard). If other type is required, specify on order. • Enlarged inlet: When ordering pump with enlarged inlet state inlet size, i.e., TF-C218MD with 3" inlet. 3 port connections • Horsepower • RPM • NEMA frame size M - Clamp (Standard) Remember to order needed accessories: T - Acme Bevel Seat Thread • Seal Kits and Parts S - NPT Female Thread • Gaskets F - Flanged • Clamps W - Weld • Hangers type of seal/standard material: 4 D - External balanced sanitary seal DG - External balanced sanitary seal w/clamped insert E - Water cooled balanced double seal F - External balanced seal w/cascading water • Air Relief Valves • Check Valve • Butterfly Valves • Ball Valves • Fittings 1 TOP-FLO® TF-C Series Centrifugal Pumps seal specifications TYPE D External Balanced Seal (Sanitary) "tf-c" series Model No. TF-C100 TF-C114 TF-C216 TF-C218 TF-C328 Inlet 1-1/2 1-1/2 or 2 2 or 2-1/2 2 or 3 3 or 4 Outlet 1 1-1/2 1-1/2 1-1/2 2 Max. Imp. 3.68 4 6 8 8 pump specifications Pump Casings: • Volute type - Standard • Inlet-oversizing as noted in chart above Pump Connections: sanitary: industrial: • Clamp • Threaded • Bevel Seat (ACME) • Flanged Pump Construction Materials: • All wetted parts - 316 SS • Seals - Carbon (other seals available) • Casing Gasket - BUNA (Standard) • FKM, EPDM, and PTFE are available Pump Finishes: • Polished or Electropolished Pump Seals: • Available in D, DG, E, and F styles Motor, Electrical: • 3 Phase - 230/460 volts - 1750 & 3500 rpm • Single Phase - 115/230 volts - 1750 & 3500 rpm Motor Housings: • TEFC (Totally Enclosed Fan Cooled) • Washdown Duty • Other styles available on request For light duty transfer requirements, see Top Line brochure (TF-C100). 2 This versatile seal has numerous applications but yet is extremely durable. Dairy products, soft vegetables, beverages, and even acid cleaning solutions and detergents are among the recommended uses. type DG External Balanced Seal with Clamped-in Seat (Sanitary) The DG seal uses the standard Type D rotating seal components with a reversible silicon carbide, tungsten carbide or ceramic seat. Typical applications include liquid sugar, beverage syrup, chocolate and abrasive products.
Heart Healthy Diet: Low Fat, Low Cholesterol, Low Sodium Diet Purpose of the diet Control and / or decrease levels of cholesterol in your blood. Control and / or decrease blood pressure and / or fluid retention. Cholesterol This fat-like substance is necessary for good health. However, high levels in the blood can cause heart and blood vessel diseases. Our bodies make cholesterol. We also get it from eating foods from animals (meats, milk, eggs, cheese, butter). Foods from plants (fruits, vegetables, grains) do not contain cholesterol. Saturated fats These fats are generally solid at room temperature. They tend to increase blood cholesterol levels. Trans fatty acids These are fats that can raise cholesterol levels like saturated fat does. Trans fats are usually listed as partially hydrogenated oils. Polyunsaturated and monounsaturated fats These fats are generally liquid at room temperature. Some can lower blood cholesterol levels. More on next page Learn more about your health care. © Copyright 2000 - March 22, 2012. The Ohio State University Wexner Medical Center - Upon request all patient education handouts are available in other formats for people with special hearing, vision and language needs, call (614) 293-3191. Page 2 How can I lower my blood cholesterol level? Decrease total fat intake, especially saturated and trans fats. Saturated fats are mainly in animal foods. Trans fats come mostly from partially hydrogenated plant oils. Foods that may contain trans fats include store bought baked goods, non-dairy whipped toppings, cream substitutes, some crackers and cookies, and many deep fried foods. To check for trans fats in a food, look for any oil that is “partially hydrogenated” in the ingredients on food labels. If a food has less than half a gram of trans fat per serving, the food manufacturer can list “zero grams of trans fat” on the food label, so it is best to check the ingredients for partially hydrogenated oils. Limit high cholesterol foods. Egg yolks, fatty meats, organ meats, butter, whole milk and other high fat dairy products are high cholesterol foods. Substitute monounsaturated fat or polyunsaturated fat for saturated fat in your diet. Monounsaturated fats include olive oil, peanut oil and canola oil. Safflower, corn and sunflower oils, and most margarines and salad dressings are examples of polyunsaturated fats. Also, fish has a higher content of polyunsaturated fat than red meat. A special note on fish: Many fish are low fat. Some fish that have a higher fat content such as salmon are high in a kind of fat called omega 3 fatty acids. This type of fat has been shown to be very heart healthy. It is recommended to eat fish three times a week for this reason. One caution: consider how you prepare it so that you don’t add large amounts of undesired fats. Baking, broiling, grilling or poaching fish is best. What is sodium? Sodium is a mineral that is necessary for good health and is present in all foods. Most people eat more sodium than they need. If the body cannot get rid of the extra sodium, fluid builds up. Extra fluid increases the work of the heart and kidneys, and may increase blood pressure. Eating less sodium may help control these problems. You will sometimes see the term sodium abbreviated "Na", as in NaCl (Sodium Chloride), which is table salt. The recommended sodium intake per day for most people is no more than 2300 milligrams (mg). For anyone who has high blood pressure, is over 50, or is African American, the sodium intake is 1,500 mg. Page 3 Sodium Guidelines To choose foods that are healthier for you, look for these labels: Sodium-free – less than 5 milligrams of sodium per serving Very low-sodium – 35 milligrams or less per serving Low-sodium – 140 milligrams or less per serving Reduced sodium – usual sodium level is reduced by 25 percent Unsalted, no salt added or without added salt – made without the salt, but still has the sodium that's a natural part of the food Know Your Salt When you are on a No Salt Added diet, even a small amount of salt has a lot of sodium in it. Amount of Sodium in Salt ¼ teaspoon salt 600 milligrams of sodium ½ teaspoon salt 1,200 milligrams of sodium ¾ teaspoon salt 1,800 milligrams of sodium 1 teaspoon salt 2,300 milligrams of sodium 1 teaspoon baking soda 1,000 milligrams of sodium How can I limit sodium?
The bariatric meal plan consists of three well balanced meals daily with at least one snack Strive to build a meal plan that includes all of the food groups. FRUIT … PROTEIN Low-fat DAIRY Whole grain STARCH VEGETABLES This meal plan is designed to provide the nutrients needed and help keep you full and satisfied throughout the day while keeping your calorie intake no higher than 1500 calories daily Meal Planning is essential to ensure you will lose weight and maintain your weight loss. PLAN FOR MEALS – Food shop weekly. Think Plan: Create Menu Prepare Meals about want you will eat during the week , buying the foods from all food groups to build your menu. Each food group contributes different nutrients that are needed for good health. PREPARE FOR MEALS- Think ahead each week to what meals you will be preparing for lunch and dinner and do some preparation ahead of time. Follow Eating Schedule FOLLOW ROUTINE – Eat meals close to the same time everyday. When you follow an eating schedule you are less likely to eat the food you should avoid. You will burn more calories and your metabolism will work more efficiently. Develop a mindset that seeks to establish healthy eating behaviors as a life style approach as opposed to the quick fix approach of many short term diets from the past. IMPORTANT TIPS to remember forever: o o o o o o o o o o o Eat Protein first Eat one hour after waking up Eat every 4-5 hours Chew foods well and eat slowly(at least 30 minutes) Keep meals small Don’t drink with meals DO NOT DRINK CARBONATION (SODA) Do not smoke Stop eating when full or have met meal size Sip fluids slowly Continue with your vitamin regimen everyday Multivitamin with Folic Acid Vitamin B 12 Iron Calcuim o Make an appointment once a year for your Annual check up for the rest of your life DO NOT DRINK YOUR CALORIES. Liquids will pass through the reduced stomach pouch quickly and you will not feel full. This is a great way to gain all your weight back!! AVOID o High calorie drinks o Beverages made with sugar o Alcohol o Milkshakes o Special coffee drinks o Soda o Juice – only 4 ounces daily TO PORTION SIZES – keep portion sizes small See handout on food groups If you routinely eat too much, the small stomach pouch may stretch! To ensure long range success at losing and maintaining your weight loss follow the recommended servings as a guide. Keeping in mind that you will stop eating when your hunger is gone or when you feel comfortable. Continue to eat small pieces of food and chew your food thoroughly and eat slowly. You will increase your chance of success if you follow an eating routine of planning meals at the same time frame daily. Keep yourself in check once in a while by writing a food journal. Continue to use a scale and measuring cups consistently to keep yourself in check. HIGH FAT FOODS • • • • • • • • • • • Fast food Dining out often Fried foods Creams & Gravies Foods made with cream or gravy High fat dairy (cheese, ice cream) Junk food (chips ect..) Donuts, cakes, cookies, pastries, chocolate High fat meats like bacon and sausage High fat casseroles High fat convenient foods (frozen pizza, boxed meals) Do not fill up on empty calorie foods that are high in calories and low in nutritional value. Avoid the so called “Junk” foods that are high in fat and sugar. CONSUMING HIGH FAT FOOD ON A REGULAR BASIS WILL HELP YOU RE-GAIN YOUR WEIGHT. The food you eat should be as healthy as possible. Your small stomach pouch can only hold about a 1 cup – 1 ¼ cup of food. Therefore your goal is to attain the highest quality nutrient intake with a minimal volume of food. Your meal plan needs to be high in protein, vitamins and other important nutrients to be successful at attaining a healthy lifestyle. To increase satiety, try to plan meals and snacks by combining carbohydrate foods with protein, fiber and a small amount of fat. A well planned meal should satisfy feelings of hunger for three to four hours and provide the energy you need as you progress through the day. Sources of carbohydrates and fiber include whole grains, fruits and vegetables. Protein sources are lean meats, meat substitutes and low fat dairy.
Overview of FDA Perspective on the Ethics of Stem Cell Therapy Robert M. Nelson, M.D., Ph.D. Pediatric Ethicist, Office of Pediatric Therapeutics Office of the Commissioner, Food and Drug Administration Robert.Nelson@fda.hhs.gov Presented on April 4, 2010 Disclosure • The views expressed in this presentation are those of the speaker and do not necessarily represent the policy of either the Food and Drug Administration or the Department of Health and Human Services. • The speaker has no financial interests to disclose with respect to the contents of this presentation. 2 Topics • Origin and Clinical Uses of Stem Cells (SC) • Ethical Issues in SC Research – NIH Criteria for hESC Registration – Evolving Debate over hESC/iPSC • ISSCR Guidelines for SC Clinical Trials • Ethics of FDA-Regulated Clinical Trials 3 Origin of Stem Cells Cells are described as pluripotent if they can form all the cell types of the adult organism. If, in addition, they can form the extraembryonic tissues of the embryo, they are described as totipotent. Watt and Driskell Philos Trans R Soc Lond B Biol Sci 2010;365:155-163. 4 Origin of Stem Cells Multipotent stem cells can form all the differentiated cell types of a given tissue. In some cases, a tissue contains only one differentiated lineage and the stem cells that maintain that lineage are described as unipotent. Watt and Driskell Philos Trans R Soc Lond B Biol Sci 2010;365:155-163.
STATE OF TENNESSEE TENNESSEE COMMISSION ON CHILDREN AND YOUTH Andrew Johnson Tower, Ninth Floor 710 James Robertson Parkway Nashville, Tennessee 37243-0800 (615) 741-2633 (FAX) 741-5956 1-800-264-0904 TO: FROM: DATE: RE: Members of the Tennessee General Assembly and Other Readers Linda O’Neal, Executive Director January 28, 2011 Resource Mapping 2010 Report Revised As required by TCA 3703-116, on April 15, 2010, the Tennessee Commission on Children and Youth transmitted the first Resource Mapping Report to the General Assembly. We have continued to review and discuss the resource mapping information with a variety of stakeholders across Tennessee. There has been great interest in this report and the information it reveals. As a result of the diligence and persistence of Melissa Staley, TCCY resource mapping director, in January 2011, we discovered there was a major omission from the report. The Department of Education was extremely diligent in reporting its expenditures for the many programs and services it provides to Tennessee schools and Tennessee children. In fact, it provided the highest level of detail in reporting expenditures of any department. However, in the focus on programs and services, submission of the most substantial part of DOE expenditures, and indeed the most substantial overall expenditure Tennessee makes for children, funds for the Basic Education Program (BEP), were not submitted. BEP funds in FY 2007 and FY 2008 were more than $3 billion each year. Upon discovering this omission, the Department of Education immediately submitted the BEP expenditure data, and TCCY staff revised the 2010 Report to include the information. The inclusion of BEP dollars results in changes in many of the charts and graphs that are now included in this report. To the best of our knowledge, the Resource Mapping 2010 Report Revised now includes all state and federal expenditures for children in the Tennessee state budget. Collection of such a massive amount of data continues to be a very challenging process. We are grateful for the collaborative support from staff in the 25 state agencies that submit data for these reports. Data submission for the 2011 report is well underway. We look forward to providing a report in April 2011 that includes expenditures for FY 2009 and FY2010. We continue to stand ready to answer questions and appreciate feedback regarding ways we can improve this report. STATE OF TENNESSEE TENNESSEE COMMISSION ON CHILDREN AND YOUTH Andrew Johnson Tower, Ninth Floor 710 James Robertson Parkway Nashville, Tennessee 37243-0800 (615) 741-2633 (FAX) 741-5956 1-800-264-0904
Global climate change will have a strong impact on development in coming decades. The absence of strong global action to reduce greenhouse gas emissions will hinder future development; conversely, smart climate policies can drive cleaner growth, resulting in a range of economic and social benefits. Through the Global Climate Change Initiative (GCCI) and other climate-related USG programs, the United States will integrate climate change considerations into relevant foreign assistance through the full range of bilateral, multilateral, and private mechanisms to foster low-carbon growth, promote sustainable and resilient societies, and reduce emissions from deforestation and land degradation. The Administration is working to make our climate financing efficient, effective, and innovative, based on country-owned plans, and focused on achieving measurable results. As part of President Obama’s commitments in Copenhagen, we are working together with our partners to provide “fast start” climate finance approaching $30 billion during the period 2010-2012 to help meet the adaptation and mitigation needs of developing countries, including deploying clean energy technologies. To this end we will use the full range of mechanisms – bilateral, multilateral and private – to invest strategically in building lasting resilience to unavoidable climate impacts; reduce emissions from deforestation and land degradation; and, support low-carbon development strategies and the transition to a sustainable, clean energy economy. Investing in Clean Energy: Clean energy programs reduce greenhouse gas emissions from energy generation and energy use by accelerating the deployment of clean energy technologies, policies, and practices. The U.S. will deliver much of its assistance for clean energy deployment through multilateral trust funds that take advantage of existing large-scale greenhouse gas reduction opportunities and establish investment channels for and leverage of the larger private sector financing as demand for cleaner solutions increases. Bilateral efforts complement multilateral investments by helping to shape policy and regulatory environments that can ensure long-term sustainability. In its FY 2011 Budget, the Administration focused on four areas, including energy sector reforms that are preconditions for sustainable clean energy development, energy efficiency, low carbon energy, and clean transport. Promoting Sustainable Landscapes: To help countries that put forward ambitious programs to reduce greenhouse gas emissions from deforestation and forest degradation (REDD+), the United States announced it would dedicate $1 billion over 2010-2012 as part of the U.S. contribution towards the “fast start financing” reflected in the Copenhagen Accord. The U.S. commitment recognizes the crucial role of REDD+ to reduce emissions as part of Sustainable Landscapes programs that include forests and land use. The United States supports REDD+ activities because they offer cost-effective ways to reduce global greenhouse gas emissions while providing other sustainable development benefits. The Administration’s strategy document, “Strategic Choice for United States Fast Start Financing for REDD+,” will guide the implementation of efforts of U.S. agencies. Supporting Climate Change Resilience and Adaptation: Helping low-income countries reduce their vulnerability to climate change impacts will reduce the social, environmental, and economic...
The designations employed and the presentation of material in this information product do not imply the expression of any opinion whatsoever on the part of the Food and Agriculture Organization of the United Nations (FAO) concerning the legal or development status of any country, territory, city or area or of its authorities, or concerning the delimitation of its frontiers or boundaries. The mention of specific companies or products of manufacturers, whether or not these have been patented, does not imply that these have been endorsed or recommended by FAO in preference to others of a similar nature that are not mentioned. The views expressed in this information product are those of the author(s) and do not necessarily reflect the views or policies of FAO. ISBN 978-92-5-107920-1 (print) E-ISBN 978-92-5-107921-8 (PDF) © FAO 2013 FAO encourages the use, reproduction and dissemination of material in this information product. Except where otherwise indicated, material may be copied, downloaded and printed for private study, research and teaching purposes, or for use in non-commercial products or services, provided that appropriate acknowledgement of FAO as the source and copyright holder is given and that FAO’s endorsement of users’ views, products or services is not implied in any way. All requests for translation and adaptation rights, and for resale and other commercial use rights should be made via www.fao.org/contact-us/licence-request or addressed to email@example.com. FAO information products are available on the FAO website (www.fao.org/publications) and can be purchased through firstname.lastname@example.org. ...
BAHASA INGGRIS : XII IPA/IPS : 90 menit Mata Pelajaran Kelas/ Program Waktu Choose A, B, C, D, or E for the correct answer. Listening Section In this section of the test, you will have the chance to show how well you understand spoken English. There are three parts to this section with special directions for each part. Part I Questions 1 to 5 Directions: In this part of the test, you will hear some dialogues or questions spoken in English. The dialogues or questions will be spoken two times. They will not be printed in your test book so you must listen carefully to understand what the speakers say. After you hear a dialogue and the question about it, read the five possible answers and decide which one would be the best answer to the question you have heard. Now listen to a sample question. You will hear: Man : How about exercising tomorrow morning? Woman : Alright. Pick me up at 6. You will also hear: Narrator : What will the man do? You will read in your test book: a. Do exercise at 6. b. Go with six women. c. Take exercise alone. d. Leave the woman alone. e. come to the woman’s house. The best answer to the question is “Come to the woman’s house.” Therefore, you should choose answer (e). 1. a. She cut herself quite badly. b. She wasn’t given any help. c. She cried while slicing onions. d. She sliced the onions hurriedly. e. She was going to make fried rice. 2. a. Do his assignment b. See a book fair. c. Buy a history book. d. Offer the woman a book. e. Go to the woman’s house. 3. a. To buy a novel. b. To read a novel. c. To lend a novel. d. To go to a bookstore. e. To finish reading a novel. 4. a.1 b.2 c.3 d.4 e.5 Latihan Soal UN dan Ujian SNMPTN /PTS 2012/2013 1 5. a.1 b.2 c.3 d.4 e.5 PART II Questions 6 to 10 Directions: In this part of the test, you will hear a statement or a question spoken in English, foolowed by four responses, also spoken in English. The statement or question and the responses will be spoken two times. They will not be printed in your test book, so you must listen carefully to understand what the speakers say. You have to choose the best response to each statement or question. Now listen to a sample question: You will hear: Woman : Good morning, John. How are you? Man : …… You will also hear: a. I am fine, thank you. c. Let me introduce myself. b. I am in the living room. d. My name is John Travolta. 6. 7. 8. 9. 10. The best answer to the question “How are you?” is choice (a), “I’m fine, thank you.” Therefore, you should choose answer (a). Mark your answer on your answer sheet. Mark your answer on your answer sheet. Mark your answer on your answer sheet. Mark your answer on your answer sheet. Mark your answer on your answer sheet. Part III Questions 11 to 15 Directions: In this part of the test, you will hear several monologues. Each monologue will be spoken two times. They will not be printed in your test book so you must listen carefully to understand what the speakers say. After you hear a monologue and the questions about it, read the five possible answers and decide which one would be the best answer to the questions you have heard. 11. a. b. c. Goose hunting An unfaithful dog An unusual accident d. A mathematics teacher e. Chambers Country Policeman 12. a. b. c. Arthur Houston Labrador d. Perry Price e. Joe LaRive Latihan Soal UN dan Ujian SNMPTN /PTS 2012/2013 2 13. a. b. c. It lies on high land. It is densely populated. It lies on a flat low plain area. d. The climate is hot and humid. e. It is at the mouth of the Ciliwung River. 14. a. b. c. James’ pet dog Muggs’ characteristics Muggs’ strange behavior d. The night when Muggs died e. Browny, the Cocker Spaniel 15. a. b. c. Andre Muggs James d. Browny e. George This is the end of the listening section Reading Section Text 1 is for number 16 Miss Ratu, I’m going to have a business trip to Surabaya and Jakarta. I’d like to go by train from here to Surabaya this afternoon and spend two days there. Then I’d like to fly to Jakarta and stay there for three nights. 1. Please book an executive class train ticket and seat reservation to Surabaya. 2. Please book single room with bath for three nights (Wed 1, Thurs 2, Fri 3) at Sulthan Hotel, Jakarta Selatan. Thanks, Raja 16. What is the message about? A. B. C. D. E. Mr. Raja’s request to his secretary. Ratu’s plan to Surabaya. A business trip to Surabaya. Mr. Raja’s schedule to Jakarta. A reservation for a train ticket. Text 2 is for number 17 Hi, Guys! 78 shs will hold a Fund Raising Activity next month. It is intended to help victims of earthquake in several areas in Aceh. Everyone who is interested in this activity, please join us. You are also invited to donor your used clothes. For further information, please contact Teuku as the chief program cocoordinator at his office or to the following numbers: 021- 7996070 081318777056 17. What is the activity for? A. Collecting used clothes B. Helping their raising activity C. Joining fund raising activity D. Helping victims of earthquakes E. Inviting neighbor to donor used clothes Text 3 is for number 18 The University of Australia The University of Australia has an international reputation for educational professionals and applied research. It is Australia’s largest university, with six campuses, including a specialized technology campus. The university places particular importance on the quality of its teaching and learning programs, and on its working links with industry, business and government. 18. Which information is NOT TRUE about the University of Australia? Latihan Soal UN dan Ujian SNMPTN /PTS 2012/2013 3 A. B. C. D. E. It has an international educational reputation It also has a specialized technology campus It has six technology campuses It is Australia’s largest university It has good relation with industry Text 4 is for number 19 and 20 Quake Rocks Southern Philippines Philippines: A 5,3-magnitude earthquake struck the southern Philippines on Thursday, the U.S. Geological Survey said, but there were no reports of casualties or damage. The undersea quake struck at 11:20 a.m. (03200 GMT) around 96 kilometers south east of the southern city of General Santos on the island of Mindanao, the U.S. agency said. The quake was felt in various cities in Mindanao but was not large enough to cause any major damage or panic, said the Philippine Institute of Volcanology and Seismology (Phivolcs). The archipelago nation, made up of more than 7,000 islands, sits on the Pacific “Ring of fire” where continental plates collide, causing frequent seismic and volcanic activity. (Adapted from the Jakarta Post, December 2008) 19. How do we know that the quake was not considered as a big one? Because .... A. It was an undersea quake B. There was no victims or damage C. The quake was less than 5,3 magnitute D. The distance was deep down the sea E. The quake rocked the center of Mindanao, ...
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 √ ,√
Jan 24, 2014 ... To determine if the Metro-North Railroad (Metro-North) used American ... Metro- North, a subsidiary of the Metropolitan Transportation Authority ... To determine if the Metro-North Railroad (Metro-North) used American Recovery and Reinvestment Act (Recovery Act) funds efficiently and for authorized purposes, and whether the funds were properly monitored to prevent fraud, waste and abuse. Our audit covered the period April 30, 2009 to June 30, 2012. Background Metro-North, a subsidiary of the Metropolitan Transportation Authority (MTA), has four projects funded by the Recovery Act, namely, Poughkeepsie Station Building-Doors/Window ($4.6 million), Grand Central Terminal Elevators ($7.7 million), Grand Central Terminal Facilities Rehabilitation ($22.7 million), and Tarrytown Station Improvement ($37.3 million). Key Finding • Our review of Metro-North’s monitoring of employees paid with Recovery Act funds found that Metro-North officials could better monitor their employees to ensure that Recovery Act funds are used for authorized purposes and instances of fraud, waste and abuse are mitigated. MetroNorth officials should improve the timekeeping method used for conductors to better ensure they are actually working the hours they are paid for, require that all overtime is pre-approved and justified prior to being worked, and consider whether it is the most efficient practice and whether government funds are being wasted by paying conductors 2 hours and 40 minutes of overtime every day for indirect tasks such as changing their clothes, washing up, and traveling to and from the project site. Also, an unannounced visit to the Tarrytown Station found one conductor was not at his assigned post when a train made a stop. Key Recommendations • Monitor employees’ time and attendance to ensure that they are only paid for actual hours worked. • Establish agency-wide policies and procedures that govern the use, pre-approval and justification of overtime. • Ensure the most efficient practices are in place and government funds are not wasted by paying overtime for indirect tasks such as employees changing their clothes, washing up and traveling to and from the project site. • Monitor conductors to make sure that they are on site and working at their assigned posts to better ensure the safety of passengers, contract workers and other Metro-North employees when trains stop at a station during ongoing track work. Other Related Audit/Report of Interest Metropolitan Transportation Authority/Long Island Rail Road: Overtime and Other Time and Attendance Matters Found in the Use of Certain Federal Funds (2010-S-2) Division of State Government Accountability