The Town of West Podunk Is Shaped Like a Rectangle $P ( x , y ) = e ^ { - 0.1 ( x + y ) }$

question 56

Short Answer

The town of West Podunk is shaped like a rectangle 80 miles from west to east and 90 miles from north to south (see the figure). It has a population density of
$P ( x , y ) = e ^ { - 0.1 ( x + y ) }$
hundred people per square mile x miles east and y miles north of the southwest corner of town. What is the total population of the town


Please enter your answer as a number without the units.

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Definitions:

Learned Needs Model

A theory that suggests that needs can be acquired through experiences and situation, shaping an individual's behavior and motivations.

Self-actualization Needs

The highest level in Maslow's hierarchy of needs, involving the pursuit of realizing one's own potential, self-fulfillment, and personal growth.

Full Potential

The highest or greatest level of performance, achievement, or utilization that an individual, group, or entity is capable of reaching.

Achievement Motivation

The drive to excel, achieve in relation to a set of standards, or strive to succeed.