Difference between revisions of "009A Sample Final 2, Problem 5"

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(Created page with "<span class="exam">Compute ::<span class="exam">a) <math style="vertical-align: -14px">\lim_{x\rightarrow 4} \frac{\sqrt{x+5}-3}{x-4}</math> ::<span class="exam">b) <math st...")
 
 
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<span class="exam">Compute
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<span class="exam"> A lighthouse is located on a small island 3km away from the nearest point &nbsp;<math style="vertical-align: 0px">P</math>&nbsp; on a straight shoreline and its light makes 4 revolutions per minute. How fast is the beam of light moving along the shoreline on a point 1km away from &nbsp;<math style="vertical-align: 0px">P?</math>
  
::<span class="exam">a) <math style="vertical-align: -14px">\lim_{x\rightarrow 4} \frac{\sqrt{x+5}-3}{x-4}</math>
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[[009A Sample Final 2, Problem 5 Solution|'''<u>Solution</u>''']]
  
::<span class="exam">b) <math style="vertical-align: -14px">\lim_{x\rightarrow 0} \frac{\sin^2x}{3x}</math>
 
  
::<span class="exam">c) <math style="vertical-align: -14px">\lim_{x\rightarrow -\infty} \frac{\sqrt{x^2+2}}{2x-1}</math>
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[[009A Sample Final 2, Problem 5 Detailed Solution|'''<u>Detailed Solution</u>''']]
  
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[[009A_Sample_Final_2|'''<u>Return to Sample Exam</u>''']]
 
[[009A_Sample_Final_2|'''<u>Return to Sample Exam</u>''']]

Latest revision as of 10:16, 1 December 2017

A lighthouse is located on a small island 3km away from the nearest point    on a straight shoreline and its light makes 4 revolutions per minute. How fast is the beam of light moving along the shoreline on a point 1km away from  


Solution


Detailed Solution


Return to Sample Exam