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 30 days, is given by g(x)=350,000csc(π/30*x). a. Select the graph of g(x) on the interval [0,35]. b. Evaluate g(5). Enter the exact answer. c. What is the minimum distance between the comet and Earth? When does this occur? To which constant in the equation does this correspond?
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 30 days, is given by g(x)=350,000csc(π/30*x).
a. Select the graph of g(x) on the interval [0,35].
b. Evaluate g(5).
Enter the exact answer.
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 [0,35].
![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 30 days, is given by
g (x) = 350,000 csc
30
().
a. Select the graph of g (x) on the interval (0, 35].
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8. x 106
106.
6. x
4. x 106.
2. x 106-
12
18
-2. x 106.
-4. x 106
24
30
-6. x
106
-8. x 106
-1. x 107
1. x 10'ly
8. x 106.
6. x 106.
4. x 106.
2. x 106.
-2. x 106.
18
24
30
-4. x 106.
-6. x 10°
-8. x 106-
-1. x 107-
1. x 107
106
8. x
6. x 106.
106.
4. x
2. x 106-
12
18
24
-2. x 106.
10.
30
-4. x
-6. x 106+
-8. x 106
-1. x 107
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8. x 106
6. x 106.
4. × 106 .
2. x 106.
-2. x 106
12
18
24
30
-4. x 106.
-6. x 106.
-8. x 106.
-1. x
107
ko
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![b. Evaluate g (5).
Enter the exact answer.
g (5)
Number
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
Number
km which is the
Click for List
It occurs at Number
days.
d. Find and discuss the meaning of any vertical asymptotes on the interval (0, 35].
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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Given:
funtion g(x)= 350000*cosec( *x)
range x=[0,35]
1. value of function for
x= 0+ , g( 0+) =350000* cosec(0)
g(0+) tends to +
2. when x= 0-, g(0-) tends to -
3. also multiple of cosec will tend to infinity.
in given range at x=30
g(30 +)=g(30-) = 350000*cosec() = +
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