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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 42 days, is given by g(x)=300,000csc(π42x).
 
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b. Evaluate g(7).
 
Enter the exact answer.
 
g(7)=   
 
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 vertical asymptotes on the interval [0,49].
 
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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