What is the area under the curve y =  between x = 1 and x = 3?

A. ln 9
B. 2 ln 3 - 2
C. 2 ln 3 - e
D.  ln 3
E. none of these


Answer: A

Mathematics

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Find the prime factorization of the number.62

A. 2 ? 31 B. 2 ? 29 C. 22 D. 22 ? 31

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Solve the problem.A location in the Atlantic Ocean extends down to a maximum depth of 16,360 feet. How deep is this location in meters? Use 1 mile ? 1.609 kilometers and round to the nearest meter.

A. 4980 m B. 4985 m C. 4988 m D. 4958 m

Mathematics

Which mathematical representation is most suitable for showing how the bus routes in a city connect to one another?

a. Vector b. Matrix c. Tree diagram d. Network diagram

Mathematics

Solve the problem.Alan is building a garden shaped like a rectangle with a semicircle attached to one short side along its diameter. The diameter of the semicircle is equal to the width of the short side of the rectangle. If he has 20 feet of fencing to go around the garden, what dimensions will give him the maximum area in the garden?

A. width =  ? 2.8, length = 5.6
B. width =  ? 3.6, length = 5.4
C. width =  ? 5.6, length = 7.2
D. width =  ? 5.6, length = 2.8

Mathematics