A cable railway had a 14-foot-diameter pulley to drive the cable (see the figure). In order to keep the cable cars moving at a linear velocity of 13 miles per hour, how fast would the pulley need to turn (in revolutions per minute)? (1 mi = 5,280 ft)
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If the answer needs rounding, round it to the nearest tenth.
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__________ rpm

What will be an ideal response?


26.0

Mathematics

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Find the volume of the solid generated by revolving the region R bounded by the graphs of the given equations about the y-axis.x = , x = 0, between y = - 4 and y = 4

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

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Use the method of variation of parameters to solve the differential equation.y'' + y = sec2 x

A. y = C1 cos x + C2 sin x - 1 + cos x ln|sec x + tan x| B. y = C1 cos x + C2 sin x - 1 + sin x ln|sec x + tan x| C. y = C1 cos x + C2 sin x - sec x sin x + cos x ln|sec x + tan x| D. y = C1 cos x + C2 sin x - sec x sin x + sin x ln|csc x + cot x|

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Use the multiplication property of equality to solve the equation.  = 9

A. -1 B. 90 C. 19 D. -19

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Solve the problem.Which of the fractions  or  is proportional to ?

A. The fraction  is proportional to .
B. The fraction  is proportional to .

Mathematics