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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, and describe the distinct equivalence classes of R.
(b) Why is the relation R2 on S given by xR2y iff xy < 0 NOT an equivalence relation?
A painter leans a 10-foot ladder against the house she is to paint. The foot of the ladder is 3 feet from the house. How far above the ground does the ladder touch the house? Appro
interestind topic in operation research for doing project for msc mathematics
Evaluate following. (a) 625 3/4 Solution (a) 625 3/4 Again, let's employ both forms to calculate this one. 625 3/4 =( 625 1/4 ) 3 =(5) 3 = 12
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x^2 + 10x +2 4
1+2+3+.....+n=1/2n(n+1)
Permutation - It is an order arrangement of items whether the order must be strictly observed Illustration Assume x, y and z be any of three items. Arrange these in all
You are given that the total frequency is 900 and the median 100.48. From the following frequency distribution, find the class frequencies that are missing. Intelligence No. of Int
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On a canoe trip. a person paddled upstream against the current ata an average of 2mi/h. the return trip with the current at 3mi/h. Need to find the paddling spped in still water an
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