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1. Let S be the set of all nonzero real numbers. That is, S = R - {0}. Consider the relation R on S given by xRy iff xy > 0. (a) Prove that R is an equivalence relation on S, an
A screening test for a newly discovered disease is being evaluated. In order to determine the effectiveness of the new test, it was administered to 900 workers; 150 of the individu
Example of Integration by Parts - Integration techniques Illustration1: Evaluate the following integral. ∫ xe 6x dx Solution : Thus, on some level, the difficulty
Max can paint a house in 3 hours. Saria can paint a house in 5 hours. working together, how long will it take both Saria and Max to paint a house?
Before taking up division of polynomials, let us acquaint ourselves with some basics. Suppose we are asked to divide 16 by 2. We know that on dividing 16 by
Q UADRATIC EQUATIONS: For the things of this world cannot be made known without a knowledge of mathematics. Solve by factorization a. 4x 2 - 4a 2 x +
details about criticl part time & pert method
Solve 2 ln (√x) - ln (1 - x ) = 2 . Solution: Firstly get the two logarithms combined in a single logarithm. 2 ln (√x) - ln (x - l) = 2 ln ((√x) 2 ) ln (1 - x ) = 2
Extrema : Note as well that while we say an "open interval around x = c " we mean that we can discover some interval ( a, b ) , not involving the endpoints, such that a Also,
Calculate the area and perimeter of a parallelogram: Calculate the area and perimeter of a parallelogram with base (b) = 4´, height (h) = 3´, a = 5´ and b = 4´. Be sure to in
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