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Let G be a simple graph with n vertices. The bandwidth of G, denoted by B(G), is the minimum, over all permutations a1, a2,...,an of the vertices of G, of max{|i - j | ai and aj are adjacent}. That is, the bandwidth is the minimum over all listings of the vertices of the maximum difference in the indices assigned to adjacent vertices. Find the bandwidths of these graphs
Suppose that f (x) is a degree 4 polynomial with coefficients in a field F, and let K be the splitting field of f (x). What are the possible values for [K : F]?
Find the equation of the tangent plane and equation of normal line of the surface x3+y3+3xyz = 3 at (1,2-3).
e 0.03. A sample of 9 players is selected at random. What is the probability that the sample contains no defective units? (Round your answer to four decimal places.)
estimate the number of farms whose land and building values
Calculate the line integral of F from P_0 at (1,0,0) to P_1 at (-1,0,0) along the direct line path joining these points. Calculate the line integral of F from P_0 at (1,0,0) to P_1 at (-1,0,0) along the horizontal semicircular path joining these poi..
A gun is fired with angle of elevation 30°. What is the muzzle speed if the maximum height of the shell is 486 m? (Round the answer to the nearest whole number. g ≈ 9.8 m/s2)
Use differentials to estimate the amount of tin in a closed tin can with diameter 8 cm and height 12 cm if the tin is 0.04 cm thick.
Determine whether f(x) = cos(sin(x^100)) is periodic, and if so, what the (smallest) period is?
Develop a sample policy to be presented to the CEO. Describe the policy and communication plan. Compose a cover note outlining the purpose of the policy and benfits to the organization.
Hypothesis test for two differences between means
given a circle with an inscribed equilateral triangle with each side of the triangle having a measurement of 18cm. what
The circumference of a sphere was measured to be 74.000 cm with a possible error of 0.50000 cm. Use linear approximation to estimate the maximum error in the calculated surface area?
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