Sample Papers 2013 –BelieveNext.blogspot.com Sample Papers 2013 –BelieveNext.blogspot.com 1. Find a quadratic polynomial‚ the sum and product of whose zeroes are 0 and √5 respectively. 2. Find the quadratic polynomial‚ the sum and product of whose zeroes are 4 and 1‚ respectively 3. If a and b are the zeros of the quadratic polynomial f(x)= x2-5x+4‚ find the value of 1/a + 1/b-2a b 4. Find the zeroes of the quadratic polynomial 4√3 x2+ 5 x - 2 √3 and verify the relationship between
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THE REAL NUMBER SYSTEM The real number system evolved over time by expanding the notion of what we mean by the word “number.” At first‚ “number” meant something you could count‚ like how many sheep a farmer owns. These are called the natural numbers‚ or sometimes the counting numbers. Natural Numbers or “Counting Numbers” 1‚ 2‚ 3‚ 4‚ 5‚ . . . * The use of three dots at the end of the list is a common mathematical notation to indicate that the list keeps going forever. At some point‚ the
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TUTORIAL: NUMBER SYSTEM 1. Determine whether each statement is true or false a) Every counting number is an integer b) Zero is a counting number c) Negative six is greater than negative three d) Some of the integers is natural numbers 2. List the number describe and graph them on the number line a) The counting number smaller than 6 b) The integer between -3 and 3 3. Given S = {-3‚ 0‚[pic]‚ [pic]‚ e‚ ‚ 4‚ 8…}‚ identify the set of (a) natural numbers (b) whole numbers (c) integers
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----------------------------------------------------------------------------------1. What are the total number of divisors of 600(including 1 and 600)? a. b. c. d. 24 40 16 20 2. What is the sum of the squares of the first 20 natural numbers (1 to 20)? a. b. c. d. 2870 2000 5650 44100 3. What is∑ items? a. b. c. d. ( )‚ where is the number of ways of choosing k items from 28 ) where is the number of ways of choosing k items from 28 406 * 306 * 28 * 56 * 4. What is ∑
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Question 1: Solve 24x < 100‚ when (i) x is a natural number (ii) x is an integer Answer The given inequality is 24x < 100. (i) It is evident that 1‚ 2‚ 3‚ and 4 are the only natural numbers less than . Thus‚ when x is a natural number‚ the solutions of the given inequality are 1‚ 2‚ 3‚ and 4. Hence‚ in this case‚ the solution set is {1‚ 2‚ 3‚ 4}. (ii) The integers less than are …–3‚ –2‚ –1‚ 0‚ 1‚ 2‚ 3‚ 4. Thus‚ when x is an integer‚ the solutions of the given inequality are …–3‚
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Real Number Properties In this assignment we were asked to solve three expressions using the properties of real numbers in order to do so. Each of the real number properties are essential in solving algebraic expressions. Although you may not need to use all of them in the same expression to solve you will need to use at least one. In this paper I will demonstrate the use of the properties and show the steps needed to solve each part of an expression. Understanding the properties of algebra
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The numbers are overwhelming: Over the next 17 years‚ 350 million rural residents (more than the entire U.S. population today) will leave the farm and move to China’s cities. That will bring the Chinese urban population from just under 600 million today to close to 1 billion‚ changing China into a country where more than two-thirds of its people are city dwellers‚ says Jonathan Woetzel‚ a director in McKinsey’s Shanghai office. The change will reverse China’s centuries-old identity as a largely rural
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universal precautions. Suppose the spread of a direct contact disease in a stadium is modeled by the exponential equation P(t) = 10‚000/(1 + e3-t) where P(t) is the total number of people infected after t hours. (Use the estimate for e (2.718) or the graphing calculator for e in your calculations.) 1. Estimate the initial number of people infected with the disease. Show how you found your answer. Answer: A total of 474 people would be initially infected. Equation: p(0)=10‚000/(1+3^3) ~ 474
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&ATOMIC NUMBER AND MASS NUMBERS After reading this section you will be able to do the following: * Define and determine the atomic number of an atom. * Define and determine the mass number of an atom. What is an atom’s atomic number? The number of protons in the nucleus of an atom determines an element’s atomic number. In other words‚ each element has a unique number that identifies how many protons are in one atom of that element. For example‚ all hydrogen atoms‚ and only hydrogen atoms
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RATIONAL NUMBER CLASS IN JAVA AIM To write a program to find the rational form of rational number. ALGORITHM 1. Start the program. 2. Declare the class name as rational and assign num‚ den as two parameters. 3. Declare constructor as rational and numerator and denominator as parameter. 4. Then write to string () method to print the rational class object as a string. 5. To get the GCD value using static method use GCD (int m‚ int n) method. 6. Get the num and den from the
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