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)=300,000csc(π24x).
a. Select the graph of g(x) on the interval [0,28].
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 __________. It occurs at ____________ days.
d. Find and discuss the meaning of any vertical asymptotes on the interval [0,28].
The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2;4;6 or x+1;x−1 ). The order of the list does not matter.
x= __________
At the vertical asymptotes the comet is
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