Difference between revisions of "009B Sample Final 3, Problem 3"
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<span class="exam">The population density of trout in a stream is | <span class="exam">The population density of trout in a stream is | ||
| − | + | ::<math>\rho(x)=|-x^2+6x+16|</math> | |
<span class="exam">where <math>\rho</math> is measured in trout per mile and <math>x</math> is measured in miles. <math>x</math> runs from 0 to 12. | <span class="exam">where <math>\rho</math> is measured in trout per mile and <math>x</math> is measured in miles. <math>x</math> runs from 0 to 12. | ||
| − | + | <span class="exam">(a) Graph <math>\rho(x)</math> and find the minimum and maximum. | |
| − | + | <span class="exam">(b) Find the total number of trout in the stream. | |
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'''Solution:''' | '''Solution:''' | ||
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Revision as of 19:18, 18 February 2017
The population density of trout in a stream is
where is measured in trout per mile and is measured in miles. runs from 0 to 12.
(a) Graph and find the minimum and maximum.
(b) Find the total number of trout in the stream.
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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) |