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(π24x).   a. Select the graph of g(x) on the interval [0,28].

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(π24x).

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              Click for List . 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