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Question: Draw all the nonisomorphic trees with four nodes.
Two trees are isomorphic if there is a bijection f: N1 → N, where f maps the root of one tree to the root of the other and where f(y) is a child of f(x) in the second tree when y is a child of x in the first tree. Thus the two trees shown are isomorphic graphs but not isomorphic trees (in part (a) the root has two children and in part (b) it does not). These are the only two nonisomorphic trees with three nodes.
For positive constants A and B, the force, F, between two atoms in a molecule at a distance r apart is given by F = (-A/r2) + (b/r3).
Zoe purchased a house in 1999 for $192,000. In 2006 she sold the house and made a net profit of $50,000. Find the effective annual rate of return on her investment over the 7-yr period. (Round your answer to the nearest hundredth of a percentage p..
Evaluate the following integral x sin 3xdx
Question1:At what rate per cent per annum will a sum of money double in 6 years?Question2:Find the compound interest on Rs 15000 at 10% per annum for 2.5 years?
Day Care Center has a policy stating that no employee can be over 5 feet 4 inches because the employer thinks children feel more comfortable with people who are closer to them in size. Does Tiffany, who is 5 feet 7 inches, have a claim? If so, und..
A binary tree is a full binary tree if each vertex has either two nonempty children or two empty children (a vertex with two empty children is called a leaf.) Are there any full binary trees on an even number of vertices? Prove that what you say i..
Show that if y = f(x) is a solution to the differential equation dy/dx = 3y2/3 that is not zero on an open interval I, then on this interval f(x) must be of the form
Let X be the amount won or lost in betting $5 on red in roulette. Then px(5)=18/38 and px(-5)=20/38. If a gambler bets on red one hundred times times.
As Jane's distance from home increases, how does her distance from work change? After Jane passes the mailbox, how long does it take her to travel 20 feet? 10 feet? 5 feet? Explain your thinking
At a fundraiser breakfast, the bill for three glasses of orange juice and five pancake specials is $7.60, whereas the bill for one glass of orange juice.
Sketch a graph of the solid that is produced by revolving the region enclosed by the graphs about the x-axis. Set up the integral that will give you the volume of the sold.
Each of two firms A and B produces its own brand of a commodity such as mineral water in amounts denoted by x and y, which are sold at prices p and q per unit.
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