Difference between revisions of "009A Sample Final 3, Problem 5"

From Grad Wiki
Jump to navigation Jump to search
Line 1: Line 1:
<span class="exam"> Calculate the equation of the tangent line to the curve defined by <math>x^3+y^3=2xy</math> at the point, <math>(1,1).</math>
+
<span class="exam"> Calculate the equation of the tangent line to the curve defined by &nbsp;<math style="vertical-align: -4px">x^3+y^3=2xy</math>&nbsp; at the point, &nbsp;<math style="vertical-align: -5px">(1,1).</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 38: Line 36:
 
|}
 
|}
  
'''(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)'''
 
 
|}
 
|}
 
[[009A_Sample_Final_3|'''<u>Return to Sample Exam</u>''']]
 
[[009A_Sample_Final_3|'''<u>Return to Sample Exam</u>''']]

Revision as of 11:50, 6 March 2017

Calculate the equation of the tangent line to the curve defined by    at the point,  

Foundations:  


Solution:

Step 1:  
Step 2:  


Final Answer:  

Return to Sample Exam