Answer the question.In the Konigsberg bridge problem, the islands are joined to the mainland by several bridges. Are these bridges really "bridges" in the graph theory sense? Explain.
What will be an ideal response?
No. A bridge in the graph theory sense is an edge that, if removed, disconnects the graph. None of the physical bridges in the Konigsberg bridge problem meet this criterion.
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Find the surface area of the surface S.S is the portion of the surface 4x + 3z = 7 that lies above the rectangle 3 ? x ? 10 and in the
A.
B.
C. 35
D.
Solve the problem.What is the domain of the function y =log7?
A. (-?, ?) B. (7, ?) C. (0, ?) D. [0, ?)
Write an equation for the parabola with vertex at the origin.Focus (6, 0)
A. x2 = 6y B. y2 = 6x C. y2 = 24x D. x2 = 24y
Solve the problem.Economists use what is called a Leffer curve to predict the government revenue for tax rates from 0% to 100%. Economists agree that the end points of the curve generate 0 revenue, but disagree on the tax rate that produces the maximum revenue. Suppose an economist produces this rational function where R is revenue in millions at a tax rate of x percent. Use a graphing calculator to graph the function. What tax rate produces the maximum revenue? What is the maximum revenue?
A. 36.6%; $268 million B. 41.2%; $264 million C. 35.8%; $276 million D. 34.0%; $271 million