Difference between revisions of "009B Sample Final 2, Problem 4"
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| − | <span class="exam"> | + | <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: |
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| − | < | + | ::::<math>\rho(x)=25000e^{-0.15x}</math> |
| − | <span class="exam"> | + | <span class="exam">people per square mile. What is the population of the city? |
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Revision as of 20:14, 17 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?
| Foundations: |
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Solution:
(a)
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| Step 2: |
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(b)
| Step 1: |
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| Step 2: |
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(c)
| Step 1: |
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| Step 2: |
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| Final Answer: |
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| (a) |
| (b) |
| (c) |