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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.
verify liouville''s theorem for y''''''-y''''-y''+y=0
how to evaluate the sums
I am student of M.com and also doing practice to crack bank or other competitive exam..please tell me shortcuts
Determine if the following sequences are monotonic and/or bounded. (a) {-n 2 } ∞ n=0 (b) {( -1) n+1 } ∞ n=1 (c) {2/n 2 } ∞ n=5 Solution {-n 2 } ∞ n=0
to plot (5,-4), start at (0,0) and move 5 units left and 4 units down
Compute the dot product for each of the subsequent equation (a) v → = 5i → - 8j → , w → = i → + 2j → (b) a → = (0, 3, -7) , b → = (2, 3,1) Solution (a) v →
6987+746-212*7665
Example: Find out a particular solution to y'' - 4y' - 12 y = 3e 5t Solution The point here is to get a particular solution, though the first thing that we're going to
compare 643,251;633,512; and 633,893. The answer is 633,512
Formulas of Surface Area - Applications of integrals S = ∫ 2Πyds rotation about x-axis S = ∫ 2Πxds rotation about y-axis Where, ds = √ 1 + (1+ (dy /
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