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 36 days, is given by g(x)=150,000csc (Pi/36x). C. What is the minimum distance between the comet and Earth? When does this occur? To which constant in the equation does this correspond?  D. Find and discuss the meaning of any vertical asymptotes on the interval [0,42].

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
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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 36 days, is given by g(x)=150,000csc (Pi/36x).

C. What is the minimum distance between the comet and Earth? When does this occur? To which constant in the equation does this correspond? 

D. Find and discuss the meaning of any vertical asymptotes on the interval [0,42].

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