Solve the problem.The time in hours it takes a satellite to complete an orbit around the earth varies directly as the radius of the orbit (from the center of the earth) and inversely as the orbital velocity. If a satellite completes an orbit  above the earth in  at a velocity of  how long would it take a satellite to complete an orbit if it is at 

/> above the earth at a velocity of  (Use  as the radius of the earth.)



A. 31.59 hr

B. 4.45 hr

C. 14.25 hr

D. 142.53 hr

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Answer: C

Mathematics

Find the following. Assume that letters can represent any real number.

A.
B.
C. 2a + b
D.

Solve the problem.The distance d in miles that can be seen on the surface of the ocean is given by d = 1.2, where h is the height in feet above the surface. How high (to the nearest foot) would a platform have to be to see a distance of 11.5 miles?

A. 96 ft B. 92 ft C. 158 ft D. 132 ft

Solve the inequality.512x < 8

A. x < 3
B. x < -3
C. x < - 
D. x < 

Find the derivative of the function.y = cot (2x - 5)

A.  = -2 csc²(2x - 5)
B.  = - csc²(2x - 5)
C.  = 2 cot (2x - 5) csc (2x - 5)
D.  = -2 sec²(2x - 5)