[pic]πr3 Volume of cone [pic]πr2h Surface area of sphere = 4πr2 Curved surface area of cone = πrl [pic] [pic] In any triangle ABC The Quadratic Equation The solutions of ax2+ bx + c = 0 where a ≠ 0‚ are given by x = [pic] Sine Rule [pic] Cosine Rule a2 = b2+ c2– 2bc cos A Area of triangle = [pic]ab sin C Answer ALL questions. Write your answers in the spaces provided. You must write down all stages in your working.
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TECHNICAL DRAWING APPLICATIONS (65) (Candidates offering Technical Drawing are not eligible to offer Technical Drawing Applications.) Aims: 1. To develop competence among the students to pursue technical courses like Engineering‚ Architecture‚ Draftsmanship Surveying and other professional courses. 2. To understand basic principles of instrumental drawing drawn to scale and to acquire basic skills in the use of traditional drafting methods which would also be helpful in understanding computer aided
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1. If a line y = x + 1 is a tangent to the curve y2= 4x ‚find the point the of contact ? 2. Find the point on the curve y = 2x2– 6x – 4 at which the tangent is parallel to the x – axis 3. Find the slope of tangent for y = tan x + sec x at x = π/4 4. Show that the function f(x) == x3– 6x2 +12x -99 is increasing for all x. 5. Find the maximum and minimum values‚ if any of 6. For the curve y = 3x² + 4x‚ find the slope of the tangent to the curve at the point x = -2. 7. Find
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w w w e tr .X m eP e ap UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Ordinary Level .c rs om * 4 2 8 5 4 9 6 3 4 3 * MATHEMATICS (SYLLABUS D) Paper 1 Candidates answer on the Question Paper. Additional Materials: Geometrical instruments 4024/12 October/November 2012 2 hours READ THESE INSTRUCTIONS FIRST Write your Centre number‚ candidate number and name on all the work you hand in. Write in dark blue or black pen. You may use a pencil for any
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PLANE AND SPHERICAL TRIGONOMETRY 3.1 Introduction It is assumed in this chapter that readers are familiar with the usual elementary formulas encountered in introductory trigonometry. We start the chapter with a brief review of the solution of a plane triangle. While most of this will be familiar to readers‚ it is suggested that it be not skipped over entirely‚ because the examples in it contain some cautionary notes concerning hidden pitfalls. This is followed by a quick review of spherical coordinates
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the ethical appeal‚ emotional appeal and logical appeal or the ethos‚ pathos‚ and logos. These three groups make a rhetorical triangle. A rhetorical triangle is typically represented by an equilateral triangle‚ suggesting that all elements are balanced‚ however in this commercial the logical element is more influential‚ making this rhetorical triangle more like a right triangle. Ethos or the ethical appeals‚ are elements based upon the creditability and character of the author‚ company‚ or people
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CHAPTER 1 INTRODUCTION 1.1 Introduction Geometry is one of the most interesting fields of mathematics. From the ancient times of the Greeks up to now‚ it has held captive the imagination of many mathematicians‚ artists‚ scientists‚ engineers and architects. Its application to modernization and technological advancement cannot be denied. Thus‚ it must be given emphasis in educational institutions particularly in secondary schools. The low achievement test results in mathematics of high
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some new found knowledge regarding triangles and quadrilaterals. Prior to this video‚ I was unfamiliar with the term SSS congruence. This term means that two triangles‚ which have the exact length of sides‚ are congruent. This is a unique characteristic that holds true to only triangles. This feature makes triangles rigid. This term means that a triangle’s sides cannot be compromised. For example‚ if three side lengths compose a triangle‚ there’s only one triangle that can be formed with the lengths
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two-dimensional. The triangle‚ the pentagon‚ the hexagon and the circle are just a few plane figures. Prisms and pyramids‚ for instance‚ are three-dime nsion figures. Angles Plane shapes Solids In this section‚ we will talk about plane figures‚ which are formed with coplanar (on the same plane) points joined together. When planes run into each other‚ the intersect. The line produced in between is called the line of intersection. Contents 1 Plane figures 2 Triangles 3 Quadrilaterals 4
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Bearing is always calculated from the north in a clockwise direction. Bearing is always a three digit numbers. Draw the following bearing of a) 0600 from A to B c) 2400 from P to Q b) 1100 from P to Q d) 3000 from X to Y. Answer the following questions. 1. The bearing of B from A is 0650. Find the bearing of A from B. 2. The bearing of Y from X is 1350. Find the bearing of X from Y. 3. The bearing of P from Q is 2200. Find the bearing of Q from P. 4.
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