at proving several theorems which had stumped Euler.) Just as Archimedes extended
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east to acquire knowledge. Little is known about his life because records were not kept. all we know are some major discoveries that were recovered. Demoritus was born in Abdera‚ Thrace about 460B.C. and died about 370 B.C. He was schooled at Pythagorean but traveled to Athens to visit Anaxagoras‚ a great mathematician that wanted nothing with Democritus. His father was from a noble family and of great wealth‚ which Democritus inherited and decided to travel to but not limited to Egypt‚ India‚ Etheopia
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rules‚ chain rule‚ implicit differentiation‚ higher derivatives‚ differentials. 4. Mean value theorem: Mean value theorem of differentials‚ L`hospital rule‚ Taylor formula. 5. Infinite integrals: Antiderivatives and infinite integrals‚ substitution rule‚ integration by parts. 6. Definite integrals: Definition and properties of definite integral‚ criteria of existence of definite integrals‚ fundamental theorem of calculus‚ substitution rule‚ integration by parts‚ improper integrals. 7. Applications
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Objective To prove Distance formula = by experimentally Pre-knowledge We know Pythagoras Theorem Area of triangle Some Knowledge about coordinate Rules for signs of Co-ordinates Axes of Co-ordinates Geometrical Representation of quadratic polynomials Material Required Coloured Glazed paper Pair of scissors Geometry box Graph paper Drawing sheet Colour stick Pencil colour Fevistick/ Gum Procedure Let two points P(x1‚y1) and Q(x2‚y2) on graph sheet. And draw a set of perpendicular
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left translation of units to vertically up translation of units to vertically down reflection in y-axis reflection in x-axis scaling along y-axis by factor scaling along x-axis by factor Chapter 1: Limits & Continuity If‚ then Squeeze Theorem Suppose‚ if‚ then If‚ then and Chapter 2: Derivatives Function Derivative Constant Rule Constant Multiple Rule Sum Rule Product Rule Quotient Rule Chain Rule / Composite Implicit Differentiation Inverse Functions
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Name: ________________________ Class: ___________________ Date: __________ ID: A Ch 5 Review Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Find the value of x. The diagram is not to scale. a. ____ 32 b. 50 c. 64 d. 80 2. B is the midpoint of AC‚ D is the midpoint of CE‚ and AE = 11. Find BD. The diagram is not to scale. a. 5.5 b. 11 c. 1 22 d. 4.5 Name: ________________________ ____ 3. Points B‚ D‚ and F are midpoints
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Three Passions Three passions‚ helpful‚ yet at times hurtful‚ have governed my life: family‚ friends‚ and dedication. These passions‚ like waves upon the seashore have rocked me back and forth in an indefinite course‚ over a great ocean of content‚ reaching the very verge of happiness (SP10). I have mentioned family first because they bring joy – a joy that I would sacrifice my whole life for an hour of this greatness. I have mentioned it‚ next‚ because it removes loneliness; a loneliness that
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trip from Chicago to Gutshot. The setting affects the characters because it is where Colin eventually will eventually get a job with Hassan‚ find a girlfriend (not named Katherine) and where he will in general become happier again and finish his theorem(explained later). After going on a tour to see Archduke Franz Ferdinand’s body guided by soon-to-be friend Lindsey Lee Wells‚ they are invited by Lindsey’s mom Hollis back to their house for dinner. After eating‚ Both Hassan and Colin are invited
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years old‚ he obtained a copy of George Shoobridge Carr’s Synopsis of Elementary Results in Pure and Applied Mathematics‚ 2 vol. (1880–86). This collection of some 6‚000 theorems (none of the material was newer than 1860) aroused his genius. Having verified the results in Carr’s book‚ Ramanujan went beyond it‚ developing his own theorems and ideas. In 1903 he secured a scholarship to the University of Madras but lost it the following year because he neglected all other studies in pursuit of mathematics
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popoasdfghjklhjv xcvbnm yfkhfhjg fghjf ghjf ghf gTheory is a contemplative and rational type of abstract or generalizing thinking‚ or the results of such thinking. Depending on the context‚ the results might for example include generalized explanations of how nature works. The word has its roots in ancient Greek‚ but in modern use it has taken on several different related meanings. A theory is not the same as a hypothesis. A theory provides an explanatory framework for some observation‚ and from
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