Business: demographics. The density of students living in a region near a university is modeled by p ( x , p ) = 9 − x 2 − y 2 , where x and y are in miles and p is the number of students per square mile, in hundreds Assume the university is located at (0, 0) in the following graph representing the region. Find the number of students who live in the region. (b) Find the average number of students per square mile of the region.
Business: demographics. The density of students living in a region near a university is modeled by p ( x , p ) = 9 − x 2 − y 2 , where x and y are in miles and p is the number of students per square mile, in hundreds Assume the university is located at (0, 0) in the following graph representing the region. Find the number of students who live in the region. (b) Find the average number of students per square mile of the region.
Solution Summary: The author calculates the number of students who live in the region if the density of the students living near a university is modelled by the function p(x,y)=9-x
Business: demographics. The density of students living in a region near a university is modeled by
p
(
x
,
p
)
=
9
−
x
2
−
y
2
, where x and y are in miles and p is the number of students per square mile, in hundreds Assume the university is located at (0, 0) in the following graph representing the region.
Find the number of students who live in the region.
(b) Find the average number of students per square mile of the region.
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