Difference between revisions of "009B Sample Final 2, Problem 3"

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(Created page with "<span class="exam">Consider the region bounded by the following two functions: ::::::::<span class="exam"> <math style="vertical-align: -5px">y=2(-x^2+9)</math> and <math styl...")
 
 
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<span class="exam">Consider the region bounded by the following two functions:
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<span class="exam">Find the volume of the solid obtained by rotating the region bounded by the curves &nbsp;<math style="vertical-align: -4px">y=x</math>&nbsp; and &nbsp;<math style="vertical-align: -4px">y=x^2</math>&nbsp; about the line &nbsp;<math>y=2.</math>
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::::::::<span class="exam"> <math style="vertical-align: -5px">y=2(-x^2+9)</math> and <math style="vertical-align: -4px">y=0</math>.
 
  
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<span class="exam">a) Using the lower sum with three rectangles having equal width, approximate the area.
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[[009B Sample Final 2, Problem 3 Solution|'''<u>Solution</u>''']]
  
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<span class="exam">b) Using the upper sum with three rectangles having equal width, approximate the area.
 
  
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<span class="exam">c) Find the actual area of the region.
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[[009B Sample Final 2, Problem 3 Detailed Solution|'''<u>Detailed Solution</u>''']]
  
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[[009B_Sample_Final_2|'''<u>Return to Sample Exam</u>''']]
 
[[009B_Sample_Final_2|'''<u>Return to Sample Exam</u>''']]

Latest revision as of 17:26, 2 December 2017

Find the volume of the solid obtained by rotating the region bounded by the curves    and    about the line  

Solution


Detailed Solution


Return to Sample Exam

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