Difference between revisions of "009B Sample Final 3, Problem 3"

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::<math>\rho(x)=|-x^2+6x+16|</math>
 
::<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 &nbsp;<math style="vertical-align: -5px">\rho</math>&nbsp; is measured in trout per mile and &nbsp;<math style="vertical-align: 0px">x</math>&nbsp; is measured in miles. &nbsp;<math style="vertical-align: 0px">x</math>&nbsp; runs from 0 to 12.
  
<span class="exam">(a) Graph <math>\rho(x)</math> and find the minimum and maximum.
+
<span class="exam">(a) Graph &nbsp;<math style="vertical-align: -5px">\rho(x)</math>&nbsp; and find the minimum and maximum.
  
 
<span class="exam">(b) Find the total number of trout in the stream.
 
<span class="exam">(b) Find the total number of trout in the stream.

Revision as of 13:32, 28 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.

Foundations:  


Solution:

(a)

Step 1:  
Step 2:  

(b)

Step 1:  
Step 2:  

(c)

Step 1:  
Step 2:  


Final Answer:  
(a)
(b)
(c)

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