Difference between revisions of "009B Sample Final 2, Problem 4"
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<span class="exam"> A city bordered on one side by a lake can be approximated by a semicircle of radius 7 miles, whose city center is on the shoreline. As we move away from the center along a radius the population density of the city can be approximated by: | <span class="exam"> A city bordered on one side by a lake can be approximated by a semicircle of radius 7 miles, whose city center is on the shoreline. As we move away from the center along a radius the population density of the city can be approximated by: | ||
| − | + | ::<math>\rho(x)=25000e^{-0.15x}</math> | |
<span class="exam">people per square mile. What is the population of the city? | <span class="exam">people per square mile. What is the population of the city? | ||
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'''Solution:''' | '''Solution:''' | ||
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{| class="mw-collapsible mw-collapsed" style = "text-align:left;" | {| class="mw-collapsible mw-collapsed" style = "text-align:left;" | ||
Revision as of 19:21, 18 February 2017
A city bordered on one side by a lake can be approximated by a semicircle of radius 7 miles, whose city center is on the shoreline. As we move away from the center along a radius the population density of the city can be approximated by:
people per square mile. What is the population of the city?
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Solution:
(a)
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(b)
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(c)
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| Final Answer: |
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| (a) |
| (b) |
| (c) |