34. Business: demographics. The density of students living in a region near a university is modeled by P(x, y) = 9 – x² – y², 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 rep- resenting the region. [6.6] YA (0, 2) (0, 0) (2, 0) x a) Find the number of students who live in the region. b) Find the average number of students per square mile of the region.

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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34. Business: demographics. The density of students living
in a region near a university is modeled by
P(x, y) = 9 – x² – y²,
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 rep-
resenting the region. [6.6]
YA
(0, 2)
(0, 0)
(2, 0) x
a) Find the number of students who live in the
region.
b) Find the average number of students per square mile
of the region.
Transcribed Image Text:34. Business: demographics. The density of students living in a region near a university is modeled by P(x, y) = 9 – x² – y², 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 rep- resenting the region. [6.6] YA (0, 2) (0, 0) (2, 0) x a) 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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