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Prove that a simple graph is connected if and only if it has a spanning tree. Ans: First assume that a simple graph G has a spanning tree T. T consists of every node of G.
Parametric objective-function problems
1. XYZ company’s cost function for the next four months is C = 600,000 + 8Q a) Find the BEP dollar volume of sales if the selling price is br. 10 / unit b) What woul
what does the three mean in the power ?
f(x)=5x^-6 on the interval [1,infinity)
Determine and classify all the critical points of the given function. Described the intervals where function is increasing & decreasing. Solution: Firstly we'll require
Two circles touch internally at a point P and from a point T on the common tangent at P, tangent segments TQ and TR are drawn to the two circles. Prove that TQ = TR. Given:
how to estimate using compatible numbers
Illustration 1 In a described exam the scores for 10 students were given as: Student Mark (x) |x-x¯| A 60
The probability that a person will get an electric contract is 2/5 and the contract that he will not get plumbing contract is 4/7.If the probability of getting at least one contra
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