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Free_Kalibri [48]
3 years ago
5

The density of people (number of people per mile) during the evening rush hour for the 5 mile stretch along a certain sidewalk i

n New York is given by f(x), where x is the distance in miles north of the subway station. Which of the following gives the number of people on this 5 mile stretch from the subway?
5
a. ∫ f(x). dx
0

x
b. ∫ f(x). dx
0

x
c. ∫ f(x). dx
5


5
d. ∫ f(x). dx
x
Mathematics
1 answer:
Kisachek [45]3 years ago
5 0

Answer:

a.  \int\limits^5_0 {f(x)} \, dx

Step-by-step explanation:

Since f(x) is the function for the populational density at a certain sidewalk for a 5 mile stretch, a definite integral of that function will yield the total number of people within the integration intervals. If we are interested in the number of people in the whole 5 mile stretch, we must integrate f(x) from x = 0 miles to x = 5 miles:

\int\limits^5_0 {f(x)} \, dx

Therefore, the answer is alternative a.

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