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The graph Cn, n ≥ 3 contains n vertices and n edges creating a cycle. For what value of n is Cn a bipartite graph? Draw the bipartite graph of Cn to give explanation for your answer.
Ans: For n = 2k, k = 2, 3, 4, ..., Cn is a bipartite graph. C6 that is drawn below which is bipartite graph.
a conical vessel of radius 6cm and height 8cm is completely filled with water.a sphere is lowered into the water and its size is such that when it touches the size it is immersed.w
A person spent 12.5% of his money and then rs.1600 and then 40% of the remaining,now left rs.960 with him.What is his original money?
Once we get out of the review, we are not going to be doing a lot with Taylor series, but they are a fine method to get us back into the swing of dealing with power series. Through
Brent covered 3 1/5 by a number and got 4 1/2 what number dis he divide by? The answer is either 1 9/16, or 32/45. Which one is the answer, and how did you get it?
Which expression has an answer of 18? Use the order of operations and try every option. The first option results in 14 since 2 . 5 = 10, then 10 + 4 = 14. This does not work. T
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show that one of the straight lines given by ax2+2hxy+by2=o bisect an angle between the co ordinate axes, if (a+b)2=4h2
1. For a function f : Z → Z, let R be the relation on Z given by xRy iff f(x) = f(y). (a) Prove that R is an equivalence relation on Z. (b) If for every x ? Z, the equivalenc
We will begin this chapter by looking at integer exponents. Actually, initially we will suppose that the exponents are +ve as well. We will look at zero & negative exponents in a
The students of a class are made to stand in complete rows. If one student is more in each row, there would be 2 rows less, and if one student is less in every row, there would be
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