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

From Grad Wiki
Jump to navigation Jump to search
Line 1: Line 1:
<span class="exam">Find the volume of the solid obtained by rotating the region bounded by the curves <math>y=x</math> and <math>y=x^2</math> about the line <math>y=2.</math>
+
<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>
  
 
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
 
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
Line 15: Line 15:
  
 
'''Solution:'''
 
'''Solution:'''
 
'''(a)'''
 
  
 
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
 
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
Line 42: Line 40:
 
|}
 
|}
  
'''(b)'''
 
  
 
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
 
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
!Step 1: &nbsp;
+
!Final Answer: &nbsp;  
|-
 
|
 
|-
 
|
 
|}
 
 
 
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
 
!Step 2: &nbsp;
 
|-
 
|
 
|-
 
|
 
|}
 
 
 
'''(c)'''
 
 
 
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
 
!Step 1: &nbsp;
 
|-
 
|
 
|-
 
|
 
|}
 
 
 
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
 
!Step 2: &nbsp;
 
 
|-
 
|-
 
|
 
|
|-
 
|
 
|}
 
 
 
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
 
!Final Answer: &nbsp;
 
|-
 
|'''(a)'''
 
|-
 
|'''(b)'''
 
|-
 
|'''(c)'''
 
 
|}
 
|}
 
[[009B_Sample_Final_2|'''<u>Return to Sample Exam</u>''']]
 
[[009B_Sample_Final_2|'''<u>Return to Sample Exam</u>''']]

Revision as of 13:47, 3 March 2017

Find the volume of the solid obtained by rotating the region bounded by the curves  Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle y=x}   and  Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle y=x^2}   about the line  Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle y=2.}

Foundations:  


Solution:

Step 1:  
Step 2:  


Final Answer:  

Return to Sample Exam