A laser rangefinder is locked on a comet approaching Earth. The
distance g(x), in kilometers, of the comet
after x days, for x in the
interval 0 to 24 days, is given
by g(x)=350,000csc(π/24x).
a. Select the graph of g(x) on
the interval [0,28].
b. Evaluate g(4).
Enter the exact answer.
g(4)=
c. What is the minimum distance between
the comet and Earth? When does this occur? To which constant in the
equation does this correspond?
The minimum distance between the comet and Earth
is km which is the
(stretching factor or period.) It
occurs at days.
d. Find and discuss the meaning of any
vertical asymptotes on the interval [0,28].
x=
At the vertical asymptotes the comet is
no longer bound in (orbit)(.out of range
of the laser.)