Find the average value of the function on the given interval.f(x) = 8x ln x ; [1, e2] Give your answer in exact form.

A. 2
B. 2
C. 2
D. 2


Answer: D

Mathematics

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Use the preference table to answer the question.The Mathematics Department is holding an election for department chair. Each member ranks the candidates from first to third. The preference table below shows the results of the ballots with candidates Clark (C), Jones (J), and Smith (S). If the Borda count method is used to determine the winner and Clark drops out, is the independence-of-irrelevant-alternatives criterion satisfied?

A. Yes B. No

Mathematics

Provide an appropriate response.If Z has a standard normal distribution, find P(-1 ? Z ? 2).

Fill in the blank(s) with the appropriate word(s).

Mathematics

Evaluate the function.Given that f(x) = , find f(-3)

A.  ? 1.7321
B.  ? 1.5
C.  ? 9
D.  ? 2.4495

Mathematics

Solve the problem.The graph below shows the rate of change of the price of a stock (in dollars per share per week) over a period of 6 weeks. Estimate the total change in dollars per share of the stock during this period. Use rectangles with widths of 1 week, and let the function value at the midpoint of the rectangle give the height of the rectangle.

A. $2.20/share B. $2.00/share C. $0.90/share D. $1.60/share

Mathematics