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We know that one has to deal with numbers in day-to-day life irrespective of his inclination and field of work. Also one cannot refute the fact that in this age there is not anything like mathematics being learnt for its own sake or for that matter psychology being studied for its own sake. One should understand the fact that the emphasis is on application, better decision making and trying to decipher what the future may be like. This scenario calls for professionals working in diverse fields to possess multiple skill set. In most of the cases it calls for understanding and application of elementary principles of other disciplines. To be more clear, a psychologist may not be as effective as he can if he misses out on, say, basic computer skills or a geneticist who does not possess basic knowledge in statistics or for that matter a student who wants to pursue a career in finance without knowing the basics of mathematics. Keeping this in view, we present below seven topics in basics of mathematics. The first topic 'Number Systems' deals with real number system and other basics like finding the Least Common Multiple and Highest Common Factor of the quantities given. The second topic 'Polynomials' will brush up your knowledge and provide insights as to how different quantities interact with each other. The third topic 'Simultaneous equations' will give an overview of how to solve simultaneous equations by different methods and also a method which can be applied to quadratic equations only. The fourth topic 'Theory of Indices' will demystify how one would obtain x9 as a result of multiplying x6 and x3. The fifth topic 'Progressions' will give you a better perspective of what series are. The sixth topic 'Permutations and Combinations' will prepare you to deal with selections and arrangements of things more confidently and the last topic covered is 'Logarithms'. All these topics, we hope, will help you understand the beauty and subtlety of the science called 'Mathematics' at least to some extent.
a) Let V = f1, 2, :::, 7g and define R on V by xRy iff x - y is a multiple of 3. You should know by now that R is an equivalence relation on V . Suppose that this is so. Explain t
(19 + 7 i)
Find the values of x and y
Mathematical Statements Are Unambiguous : Consider any mathematical concept that you're familiar with, say, a sphere. The definition of a sphere is clear and precise. Given any o
A man in rested rupee 800 is buying rupee5 shares and then they are selling at premium of rupee 1.15.he sells all the share.find profit?
4*4=?
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A boy standing on a horizontal plane finds a bird flying at a distance of 100m from him at an elevation of 300. A girl standing on the roof of 20 meter high building finds the angl
Cardioids and Limacons These can be split up into the following three cases. 1. Cardioids: r = a + a cos θ and r = a + a sin θ. These encompass a graph that is vaguel
In the previous section we looked at the method of undetermined coefficients for getting a particular solution to p (t) y′′ + q (t) y′ + r (t) y = g (t) .....................
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