Evaluate the improper integral or state that it is divergent.

A. 2 ln 3
B.  ln 3
C. -  ln 3
D.  ln 2


Answer: B

Mathematics

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Provide an appropriate response.Explain the difference between a frequency distribution and a relative frequency distribution. Comment on the differences on the vertical axis scale. Given the same data set and the same classes, will the shapes of the frequency distribution and the relative frequency distribution be the same? You may draw a diagram to support your answer.

What will be an ideal response?

Mathematics

Add the polynomials. Express your answer in standard form.(x - x2 + 5) + (3 - 5x2 + x3)

A. x3 - 6x2 + 8x B. x3 - 6x2 + x + 8 C. x3 - 4x2 + x - 8 D. x3 + 6x2 + x + 8

Mathematics

Find the area of the figure.

A.  sq ft
B.  sq ft
C.  sq ft
D.  sq ft

Mathematics

Suppose the time intervals in seconds between arrivals of successive cars at an expressway tollbooth during rush hour are exponentially distributed with associated probability density function . Find the probability that the average time interval between arrivals of successive cars is more than 9 sec. Round your answer to four decimal places. ?

A. 0.1929 B. ?0.5564 C. ?0.9403 D. ?0.2366 E. ?0.0498

Mathematics