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].

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter1: Foundations
Section1.8: The Real Numbers
Problem 1.233TI: Locate on the number line: 0.6.
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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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