Find the limit.(ln x)3/x

A. e3
B. 3
C. 1
D. 0


Answer: C

Mathematics

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Provide an appropriate response.(a) Show that dx = e-4 < 0.0092 and hence that dx < 0.0092.(b) Explain why this means that dx can be replaced by dx without introducing an error of magnitude greater than 0.0092.

What will be an ideal response?

Mathematics

Find the median of the set of data.10, 8, 29, 11, 23, 40, 39, 39

A. 24.5 B. 26 C. 23 D. 29

Mathematics

Provide an appropriate response.Find the length and width of a rectangular room if the area is 22.5 sq m and the length is 0.5 m longer than the width. Round to the nearest tenth. (Area = length × width)

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Mathematics

A study conducted by Uni-Mart, a mail-order department store, reveals that the time intervals in minutes between incoming telephone calls on its toll-free 600 line between 10 A.M. and 3 P.M. are exponentially distributed with probability density function . ? What is the probability that the time interval between successive calls is more than 5 min? Give the answer to four decimal places, if necessary.

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

Mathematics