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].

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 82RE
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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 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              

 

1. x 107
8. x 106
6. x 106-
4. x 106
2. x 106.
-2. x 106.
-4. x 106
-6. x 106
12
18
24
-8. x 106.
-1. x 107
Transcribed Image Text:1. x 107 8. x 106 6. x 106- 4. x 106 2. x 106. -2. x 106. -4. x 106 -6. x 106 12 18 24 -8. x 106. -1. x 107
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