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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.
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Question: Classify the following differential equations as linear/nonlinear. Also, what is the order of the following differential equations? Xy'-2y =x Xy'' -2y' =xsin(y)
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Evaluate the given limits, showing all working: Using first principles (i.e. the method used in Example 1, Washington 2009, Using definition to find derivative ) find the
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Find the x and y intercepts for the following equations: 3y=3x -y=-x-4 2x+3y=6 y=5
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