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Extreme Value Theorem : Assume that f ( x ) is continuous on the interval [a,b] then there are two numbers a ≤ c, d ≤ b so that f (c ) is an absolute maximum for the function and
A graph G has 21 Edges, 3 vertices of degree 4 and other vertices are of degree 3. Find the number of vertices in G. Ans: It is specified that graph G has 21 edges, so total
2*9
find the sum of the following series upto n terms: 1*2+2*4+3*8+4*16+.....
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Caterer verifies that 87% of people who sampled the food thought it was delicious. A random sample of 144 out of population of 5000 taken. The 144 are asked to sample the food. If
The distribution of sample means is not always a normal distribution. Under what circumstances is the distribution of sample means not normal?
Although the set of integers caters to a larger audience, it is inadequate. This inadequacy has led to the formulation of Rational numbers. Rational numbers are of
Reduce the following rational expression to lowest terms. x 2 - 2 x - 8/ x 2 - 9 x + 20 Solution When reducing a rational expressio
1. Let A = {1,2, 3,..., n} (a) How many relations on A are both symmetric and anti-symmetric? (b) If R is a relation on A that is anti-symmetric, what is the maximum number o
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