M10/5/MATHL/HP2/ENG/TZ1/XX 22107204 mathematics higher level PaPer 2 Thursday 6 May 2010 (morning) 2 hours iNsTrucTioNs To cANdidATEs Write your session number in the boxes above. not open this examination paper until instructed to do so. do graphic display calculator is required for this paper. A section A: answer all of section A in the spaces provided. section B: answer all of section B on the answer sheets provided. Write your session number on each answer sheet‚ and attach
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3D-PLANES 1-MARK 1.Find the angle between the line x + 1 = y – 1 = z – 2 and the plane 2x + y – 3z = 4. 2 -1 3 2 Find the distance of the point (1‚ 2‚ 0) from the plane 4x + 3y + 12z = 16. 3.Find the equation of the line passing through the point with position vector 4i – j + 3k and perpendicular to the plane r.(6i – 3j + 7k) + 2 = 0. 4. If the points (1‚ 2‚ p) and (-3‚ 0‚ -1) be equidistant from the plane
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Cartesian coordinates‚ also called rectangular coordinates‚ provide a method of rendering graphs and indicating the positions of points on a two-dimensional surface or in three-dimensional space. The scheme gets its name from one of the first people known to have used it‚ the French mathematician and philosopher René Descartes. The Cartesian coordinates in the plane are specified in terms of the x -coordinates axis and the y -coordinate axis‚ as illustrated in the below figure. The origin is the
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displacement of his trip? Set 2 1. A baseball pitcher is warming up as he travels to a game by plane. The plane is flying at 400 km/h[W] relative to the ground. The pitcher throws a ball at 150 km/h relative to the airplane. What is the ball’s velocity relative to the ground‚ if the pitcher throws the ball towards a) The front of the plane? b) The rear of the plane? 2. A jet plane travelling horizontally at 1200 km/h relative to the ground fires a rocket forwards at 1100 km/h relative
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that the boy’s mother is giving the child a false sense of hope in a God that requires one to first suffer to eventually find peace. This belief has become common in the 21st century; another critic Ali Gunes in her work The Deconstruction of the Cartesian Dichotomy of Black and White in William Blake’s “The Little Black Boy” argues a point similar to that of Greco. Gunes says‚ “The black boy’s mother‚ who‚ in fact‚ represents religious voice in Blake’s The Little Black Boy‚ seems very innocent and
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to Frankfurt with a distance of more or less 4‚000 miles and a little over 12 hours of flight time. I sat on the left side of the plane‚ and it felt great because you know that you are in charge of the beast. I opened my logbook and started my pre-departure check. My co-pilot sitting right next to me was also helping me check the pressure of certain areas of the plane. The Fuel is filled up to last the entire journey and more‚ all the display monitors are functioning properly‚ and all three of the
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Dr Montessori identifies four planes of development. Describe these. Discuss their importance to the educator? Montessori was a product of the historical past and inherited the intellectual and progressive tradition in education from Rousseau‚ Pestalozzi and Frobel. From these inspirations Montessori took this inheritance of ideas and developed them further. During her lifetime she discovered and formulated original ideas about child development through her observation of the child. Montessori
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Four Planes of Development "We know how to find pearls in the shells of oysters‚ gold in the mountains‚ and coal in the bowels of the earth‚ but we are unaware of the spiritual gems‚ the creative nebulae‚ that the child hides in himself when he enters this world to renew mankind." The Absorbent Mind‚ Maria Montessori Maria Montessori’s Four Planes of Education was a lecture given by her in 1938 at the Seventh International Montessori Congress. The four planes (or phases) of
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Rina Dhakad Evening Batch FOUR PLANES OF DEVELOPMENT Fundamental development takes place from conception to 24 years of age during this‚ Montessori observed four distinct periods‚ or "planes"‚ in human development‚ extending from birth to six years‚ from six to twelve‚ from twelve to eighteen‚ and from eighteen to twenty-four. These four planes of development were used to describe the path of development every child follows‚ from birth to adulthood. She saw different characteristics‚ needs‚
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MY FIRST PLANE RIDE ALONE My internal organs thumped against my chest as I dragged my bag along the floor and into the corridor. As I walked into the hall‚ I glanced up and notice the sign I could get on. My entire body could barely hold itself together with the anticipation of the dream come-true event about to take place. I said to myself‚ “I’ll soon be in the air alone without my family”. I slowed my pace to further enjoy what was happening. Swarms of people walked around me knowing that one
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