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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) = 150,000csc(π42x). What is the distance of the comet from Earth after 10 days?

1 Answer

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Final answer:

The distance of the comet from Earth after 10 days cannot be calculated using the given function.

Step-by-step explanation:

To find the distance of the comet from Earth after 10 days, we will substitute x = 10 into the given function g(x) = 150,000csc(π42x).

So, g(10) = 150,000csc(π42*10).

Calculating further, g(10) = 150,000csc(π420) = 150,000csc(pi*420).

Since the value of csc(pi*420) is undefined, we cannot calculate the comet's distance from Earth after 10 days using this function.

User Perry Neal
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