TEST CODE 02134020/SPEC FORM TP 02134020/SPEC CARI B B E AN E XAM I NAT I O NS CO UNCI L ADVANCED PROFICIENCY EXAMINATION PURE MATHEMATICS UNIT 1 ALGERBRA‚ GEOMETRY AND CALCULUS SPECIMEN PAPER PAPER 02 2 hours 30 minutes The examination paper consists of THREE sections: Module 1‚ Module 2 and Module 3. Each section consists of 2 questions. The maximum mark for each Module is 50. The maximum mark for this examination is 150. This examination consists of 6 printed pages. INSTRUCTIONS
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plane is not parallel to the axis‚ base‚ or generatrix of the intersected cone. 3. n. The locus of points for which the sum of the distances from each point to two fixed points is equal. 4. n. Ellipsis. Century Dictionary and Cyclopedia 1. n. In geometry‚ a plane curve such that the sums of the distances of each point in its periphery from two fixed points‚ the foci‚ are equal. It is a conic section (see conic) formed by the intersection of a cone by a plane which cuts obliquely the axis and the
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we can use that information to find the length of OP’ when OP=2‚ 3‚ and 4. The first thing one can deduce is that by using the points A‚ O‚ P’‚ and P two isosceles triangles can be formed; ∆AOP and ∆AOP’. To rationalize this assertion through an analytic approach it should first be understood that all line segments that connect the center of a circle to its perimeter‚ or circumference‚ is considered to be its radius. Because P’ and O are both located within the circumference of C3 and connect to
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Chapter 1 Review of Straight Lines We start with a brief review of properties of straight lines‚ since these properties are fundamentally important to our understanding of more advanced concepts (tangents‚ slopes‚ derivatives). Skills described in this introductory material will be required in many contexts. 1.1 Geometric ideas: lines‚ slopes‚ equations Straight lines have some important geometric properties‚ namely: The slope of a straight line is the same everywhere along its length.
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VCE Specialist Mathematics Pocket Study Guide Contents Introduction 1 Vectors in two and three dimensions 2 Complex numbers 3 Coordinate geometry and sketch graphs 4 Circular functions 5 Antidifferentiation 6 Integration 7 Differential equations 8 Kinematics 9 Vector calculus 10 Dynamics iv 1 12 26 40 53 62 70 79 86 92 Introduction What do you really need to know for Specialist Mathematics? We’ve answered that question in this Pocket Study Guide. This handy guide gives you a summary of
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EEE 171 Fall 2000 Lecture #1 1 Lecture 1: Importance of Electromagnetics Electricity and magnetism in three dimensions is understood through electromagnetic theory. Even simple circuit theory is founded on electromagnetic principles. DIMENSIONS AND UNITS We will use Système Internationale d ’Unités or the SI system of units whose fundamental units are: kilogram‚ meter‚ second‚ Ampere‚ Kelvin‚ and Candela for mass‚ length‚ time‚ temperature‚ and luminous intensity‚ respectively. We will also work
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Miriam Karunakaran Physics Honors Period 6 Physics Kinematics Lab Report Kinematics is the study of the motion of bodies without reference to mass or force. This lab aided students in observing kinematics by giving them a visual graph to look at from experiments previously performed. Variables used in this lab were “x” for position of the object‚ “v” for velocity of the object‚ and “a” for acceleration of the object. Understanding the graphical representation of
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Contents 1. Summary 1 2. Introduction 1-3 1.1 Least Squares Method 2 1.1.1 Method 2 1.2 Minimum Zone Method 3 2. Objectives 3 3. Apparatus 3-4 4. Procedure 4 5. Results 4-7 5.1 Straightness 4-6 5.2 Flatness 7 6. Discussion 8-10 6.1 Straightness 8 6.2 Flatness 8-9 6.3 Closing error 9-10 7. Conclusion 10 8. References 10 9. Appendices 11-15 9.1 Appendix A-Procedure 11-13 9.2 Appendix B-Certificates of calibration 14-15 1. Summary The aim of this experiment was
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INTRODUCTION ABOUT ADOBE PHOTOSHOP TOOLS AIM: To study about the adobe Photoshop tools TOOLS: Marquee Tool: It makes rectangular‚ elliptical‚ single row‚ and single column selections. Move Tool: moves selections‚ layers‚ and guides. Lasso Tool: make freehand‚ polygonal (straight-edged)‚ and magnetic * (snap-to) selections. Magic Wand Tool: selects similarly colored areas. Crop Tool: trims images. Slice Tool: creates slices. Slice Select Tool: selects slices. Healing
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QRB Concepts – Plotting Bivariate data Concept: Construct histograms and bivariate plots using Excel. Reading Reference: Topic 2 of Sevilla & Somers and Ch. 4 of Lind‚ Marchal‚ & Wathen Example of Application Bivariate Plots: Economics: We often need to plot a demand curve to illustrate levels of quantity demanded based on the price of a product. Bivariate plots can be used to project future sales based on pricing or to determine if a price is too high or low. People typically buy more
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