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What is equivalence relation? Prove that relation 'congruence modulo' ( ≡mod m) is an equivalence relation. Ans: A relation R illustrated on a nonempty set A is said to be
Find the generating function for the number of r-combinations of {3.a, 5.b, 2.c} Ans: Terms sequence is given as r-combinations of {3.a, 5.b, 2.c}. This can be writte
PAIR OF LINEAR EQUATIONS IN TWO VARIABLES: Like the crest of a peacock so is mathematics at the head of all knowledge. Example At a certain time in a deer park, t
Determine if the subsequent series is convergent or divergent. Solution As the cosine term in the denominator doesn't get too large we can suppose that the series term
A 90% acid solution is mixed with a 97% acid solution to obtain 21 litres of a 95% solution. Findout the quantity of every solutions to get the resultant mixture.
what is the lowest term of 11/121
Evaluate each of the following. (a) 25 1/2 (b) 32 1/5 Solution (a) 25 1/2 Thus, here is what we are asking in this problem. 2
How do you find the perimeter of an irregular shape using Pythagorean theorem?
Hypothesis Testing Definition of Hypothesis Testing - A hypothesis is a claim or an opinion about an issue or item. Hence it has to be tested statistically in order to esta
The perimeter of a rectangle is 21 inches. What is the measure of its width if its length is 3 inches greater than its width? Let x = the width of the rectangle. Let x + 3 = th
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