Solve the problem.The beacon on a lighthouse 40 m from a straight shoreline rotates twice per minute. Find dx/dt where x is the distance along the shoreline from the point on the shoreline closest to the lighthouse and the point where the beam hits the shoreline.[Hint: Find an equation relating ? and x where ? is the angle between the beam of light and the line from the lighthouse to the shoreline. Use the chain rule and express d?/dt in radians per minute.]
A. 
= 160? sec ? tan ?
B. 
= 160? sec2?
C. 
= 40 sec2?
D. 
= -160? csc2?
Answer: B
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Solve the problem.A bird flies from its nest 2 km in the direction 1° north of east, where it stops to rest on a tree. It then flies 5 km in the direction 3° south of west and lands atop a telephone pole. With an xy-coordinate system where the origin is the bird's nest, the x-axis points east, and the y-axis points north, at what point is the telephone pole located?
A. (-4.993, -0.2617) B. (2.000, 0.03490) C. (-2.993, -0.2268) D. (6.031, -1.019)
Find the exact value of the expression without using a calculator or table.arcsec (
)
A. 
B. 
± 2?n, 
± 2?n
C. 
D. 
Solve the problem.The average cost per tape, in dollars, for a company to produce x sports videotapes is given by the functionA(x) = 
for x > 0
Graph the function on the interval (0, ?) and complete the following:A(x) ? 
as x ? ?.
A. 
A(x) ? 1 as x ? ?.
B. 
A(x) ? 0 as x ? ?.
C. 
A(x) ? 16 as x ? ?.
D. 
A(x) ? 11 as x ? ?.
A bag contains 2 nickels, 9 dimes, and 8 quarters. If you draw 3 coins at random from the bag, without replacement, what is the probability that you will get a nickel (N), a quarter (Q), and a nickel (N), in that order?
