MAT1581/201/2/2012 Tutorial Letter 201/2/2012 Mathematics I MAT1581 Semester 2 Department of Mathematical Sciences This tutorial letter contains solutions to your assignments and guidelines for the examination. Bar code CONTENTS 1 2 3 4 5 6 SOLUTIONS ASSIGNMENT 1 ....................................................................................................... 3 SOLUTIONS ASSIGNMENT 2 ..........................................................................................
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Homework #1 Solutions 3.1 a. Let X1 =the number of hours of process 1 used X2 =the number of hours of process 2 used The objective is to minimize the cost of producing the three products A‚ B and C. The constraints are on the demand of each product. Min 4X1 + X2 subject to 3X1 + X2 ≥ 10 (A’s demand) X1 + X2 ≥ 5 (B’s demand) X1 ≥ 3 (C’s demand) X1 ‚ X2 ≥ 0 (nonnegativity) b. From the graph we can see that the isocost line just leaves the feasible region where the demand for C and B intersect. The
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28th March 2006. Dear students‚ As you prepare for your industrial training‚ go through these guidelines. Take your training to be an exposure to the industry that you are going to be a part of. As far as college curriculum is concerned‚ it is an assignment carrying 200 marks. That you can easily score with punctuality‚ Commitment and interest. It does not matter where you train. Every hotel‚ big or small has its own significance. If you train at a large 5 star deluxe hotel you get a very good
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backlogs within three (3) months. III. AREAS OF CONSIDERATION A. STRENGTH 1. ABC Company was one of the country’s largest producers of fabricated steel products. The company fabricated and installed storage tanks‚ mine and cane car bodies‚ dump bodies‚ boats and many types of structural steel. 2. ABC has the capability to produce top quality steel products. B. WEAKNESSES 1. ABC Company has an inaccurate labor and materials estimates; 2. The targets were unrealistic; 3. Shifts in manpower
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Programmable Controller FP0 Thermocouple Unit Technical Manual is a global brand name of Matsushita Electric Works. BEFORE BEGINNING Liability and Copyright for the Hardware This manual and everything described in it are copyrighted. You may not copy this manual‚ in whole or part‚ without written consent of Matsushita Electric Works‚ Ltd. Matsushita Electric Works‚ Ltd. pursues a policy of continuous improvement of the design and performance of its products‚ therefore‚ we reserve
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number that best describes you. Always Never 1. I thoroughly analyze my audience 5 4 3 2 1 2. I determine some basic objectives before 5 4 3 2 1 before planning a presentation. 3. I write down some main ideas first 5 4 3 2 1 in order to build a presentation around them. 4. I incorporate both a preview and 5 4 3 2 1 review of the main ideas as my presentation is organized. 5. I develop an introduction that will 5 4 3 2 1 catch the attention of my audience and still provide
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Mathematics/SG/P1 2 SCE – Memorandum DBE/2011 VRAAG 1/QUESTION 1 1.1.1 5 3x + 2 25 2x – 1 .5 x-3 .5 1.1.4 4 - 81 + 1250 1 1 2(-) 4() =2 –3 +1 = 2– 1 – 3 3 + 1 1 = – 27 + 1 1 = – 25 1 1.2.1 4.3x = 36 (5) ∴4.3x = 36 4 4 ∴3x = 9 1 ∴3x = 32 1 ∴x = 2 1 1.2.2 16-x = 2 1 4(- x) =2 ∴2 (3) ∴ 2-4x = 2 ∴-4x = 1 1 ∴-4x = 1 -4 -4 ∴ x = - 1 (5) (3) [23] (3) (4) - = 53x + 2. 5x - 3. 5 52(2x – 1) 1 = 53x + 2. 5x - 3. 5 54x – 2 1 =5 3x + 2 + x – 3 + 1 – 4x + 2 = 52 1 = 25 1 1.1
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w w w e tr .X m eP CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Ordinary Level e ap .c rs MATHEMATICS (SYLLABUS D) Paper 2 4024/02 May/June 2003 2 hours 30 minutes om Additional Materials: Answer Booklet/Paper Electronic calculator Geometrical instruments Graph paper (1 sheet) Mathematical tables (optional) READ THESE INSTRUCTIONS FIRST Write your answers and working on the separate Answer Booklet/Paper provided. Write your Centre number‚ candidate
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reproduced‚ stored in a retrieval system‚ or transmitted by any means‚ electronic‚ mechanical‚ photocopying or otherwise‚ without the prior written permission of the Publisher. A CIP record for this book is available from the British Library. ISBN: 978-1-4081-5393-2 This book is produced using paper that is made from wood grown in managed‚ sustainable forests. It is natural‚ renewable and recyclable. The logging and manufacturing processes conform to the environmental regulations of the country of origin.
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1. 2. Basis of life are (a) nucleic acids (c) nucleoproteins Life span of parrot is (a) 140 years (c) 80 years Theory of ’saltations’ (b) proteins (d) amino acids (b) 60 years (d) 40 years was given by (c) Mixed (d) None of these 11. Pappus helps in dispersal of pollen in (a) Asteraceae (b) Brassicaceae (c) Malvaceae (d) Solanaceae 12. In which of the following groups are seeds present? (a) Psilophyta (c) Lycopodiophyta 13. Match the columns. Column I (Vitamins) A. B. C. D. B‚ D E C
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