Solve the problem.The relative number N of gas molecules in a container that are moving at a velocity v can be shown to be   av2e-bv2, where a and b are constants. Find the maximum value of N.

A.
B.
C.
D.


Answer: D

Mathematics

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Use spherical coordinates to find the moment of inertia of the solid homogeneous hemisphere of radius 5 and density 1 about a diameter of its base. Select the correct answer.

a. 205.13 b. 2616.67 c. 195.22 d. 213.5 e. 198.08

Mathematics

Find the volume of the solid generated by revolving the region about the y-axis.The region enclosed by the triangle with vertices (3, 0), (3, 2), (5, 2)

A. ?
B. ?
C. ?
D. ?

Mathematics

Solve the problem.An airline with two types of airplanes, P1 and P2, has contracted with a tour group to provide transportation for a minimum of 400 first class, 900 tourist class, and 1500 economy class passengers. For a certain trip, airplane P1 costs $10,000 to operate and can accommodate 20 first class, 50 tourist class, and 110 economy class passengers. Airplane P2 costs $8500 to operate and can accommodate 18 first class, 30 tourist class, and 44 economy class passengers. How many of each type of airplane should be used in order to minimize the operating cost?

A. 5 P1 planes and 22 P2 planes B. 9 P1 planes and 13 P2 planes C. 14 P1 planes and 7 P2 planes D. 9 P1 planes and 12 P2 planes

Mathematics

Solve the problem.On part of a scenic tour of underground caves, Dave and Neil started at an elevation of -45 feet. They then rose 17 feet. What was their elevation at this point?

A. 62 ft B. -28 ft C. -62 ft D. 28 ft

Mathematics