2008 H I G H E R S C H O O L C E R T I F I C AT E E X A M I N AT I O N Mathematics General Instructions • Reading time – 5 minutes • Working time – 3 hours • Write using black or blue pen • Board-approved calculators may be used • A table of standard integrals is provided at the back of this paper • All necessary working should be shown in every question Total marks – 120 • Attempt Questions 1–10 • All questions are of equal value 212 BLANK PAGE – 2 – Total marks – 120
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THE IMPORTANCE OF MATHEMATICS W. T. Gowers It is with some disbelief that I stand here and prepare to address this gathering on the subject of the importance of mathematics. For a start‚ it is an extraordinary honour to be invited to give the keynote address at a millennium meeting in Paris. Secondly‚ giving a lecture on the significance of mathematics demands wisdom‚ judgment and maturity‚ and there are many mathematicians far better endowed than I am with these qualities‚ including several
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Discuss the cause of the Tacoma bridge disaster‚ in terms of waves‚ vibrations‚ and resonance. Elaborate the effects with relevant equations and formulae. The Tacoma bridge collapse can be attributed to the waves caused by the buildup of energetic vibrations. These energetic vibrations were built up from the bridge “taking energy from the steadily blowing wind” (Crowell). Eventually enough of these energetic vibrations built up to cause resonance within the system‚ causing the wave-like motion
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Mathematics is highly valued in our society but for many students the thought of learning mathematics is daunting. Learning mathematics in primacy school may have been a positive experience but it may have also been filled with frustration and anxiety. If a teacher has a negative view of mathematics then their students will adopt this view. Students must be shown the relevance and purpose of mathematics in a real life and meaningful way. There is no doubt that mathematics is an indispensable tool
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Geometry PJ Architecture and Geometry Architecture and geometry are perfect complements of each other they go hand to hand in so many ways let’s discuss some of these ways. Architecture has geometry written all over it if geometry never existed Architecture wouldn’t have existed either. First of all geometry is the reason that we can calculate and measure the sizes and shapes of certain structures for us to use. Geometry allows us pin point exactly how much more we may need or less ‚ without
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Puzzle: Who Got More? Mrs Mess was buying a set of garden furniture. The bill was seventy rupees. She gave the attendant what she thought were two ₹50 notes‚ (actually two ₹100 notes). The attendant was sleepy and didn’t notice either‚ so he gave Mrs Mess what he thought were three ₹10 notes (actually three ₹50 notes). Who ended up better off than they should? Solution: Mrs Mess comes away better off than she should‚ by ₹20 in fact. Despite the warning in the title‚ Mrs Mess did pay
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Article 1: Titre: Colorado Flooding Imperils Oil and Gas Sites‚ Causes Spill Date: Septembre 19‚ 2013 Journal : National Geographic Cet article parle de l’inondation à Colorado le 17 Septembre‚ 2013. Cette inondation était un grand désastre parce qu’il y avait un grand déversement de pétrole. Il y avait a peu près 5250 gallons de pétrole qui a infiltré la rivière South Platte dans la partie centre-nord de l’état. Le pétrole venait des réservoirs pétroliers Anadarko endommagés. Cette déversement
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There are two kinds of people in the world…Those who like math homework and those who don’t. This project is mainly about the purpose of math homework. In other words‚ the main reason why teachers feel that math homework is important for students. Not just the pros but also the cons. For example‚ one of the good reasons that math homework is good for a student is that it helps you remember the material outside of the classroom. Not only that‚ but if you can remember the lesson you learned outside
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Math Review for the Quantitative Reasoning Measure of the GRE® revised General Test www.ets.org Overview This Math Review will familiarize you with the mathematical skills and concepts that are important to understand in order to solve problems and to reason quantitatively on the Quantitative Reasoning measure of the GRE revised General Test. The following material includes many definitions‚ properties‚ and examples‚ as well as a set of exercises (with answers) at the end of each
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ANALYSIS‚ VERIFICATION AND FPGA IMPLEMENTATION OF VEDIC MULTIPLIER WITH BIST CAPABILITY A thesis report submitted in the partial fulfillment of the requirement for the award of the degree of Master of Technology in VLSI Design & CAD Submitted by Vinay Kumar Roll No.: 60761026 Under the Guidance Of Mr. Arun Kumar Chatterjee Lecturer‚ ECED Department of Electronics and Communication Engineering THAPAR UNIVERSITY (Formerly Known as Thapar Institute of Engineering and Technology) PATIALA-147004‚ INDIA
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