Difference between revisions of "009C Sample Final 3, Problem 8"

From Grad Wiki
Jump to navigation Jump to search
(Created page with "<span class="exam">Compute ::<span class="exam">a) <math style="vertical-align: -12px">\lim_{n\rightarrow \infty} \frac{3-2n^2}{5n^2+n+1}</math> ::<span class="exam">b) <mat...")
 
 
(8 intermediate revisions by the same user not shown)
Line 1: Line 1:
<span class="exam">Compute
+
<span class="exam">A curve is given in polar coordinates by &nbsp;<math style="vertical-align: -2px">r=4+3\sin \theta.</math>
  
::<span class="exam">a) <math style="vertical-align: -12px">\lim_{n\rightarrow \infty} \frac{3-2n^2}{5n^2+n+1}</math>
+
<span class="exam">(a) Sketch the curve.
  
::<span class="exam">b) <math style="vertical-align: -12px">\lim_{n\rightarrow \infty} \frac{\ln n}{\ln 3n}</math>
+
<span class="exam">(b) Find the area enclosed by the curve.
  
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
+
<hr>
!Foundations: &nbsp;
+
[[009C Sample Final 3, Problem 8 Solution|'''<u>Solution</u>''']]
|-
 
|
 
|-
 
|
 
|-
 
|
 
|-
 
|
 
|-
 
|
 
|}
 
  
'''Solution:'''
 
  
'''(a)'''
+
[[009C Sample Final 3, Problem 8 Detailed Solution|'''<u>Detailed Solution</u>''']]
  
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
 
!Step 1: &nbsp;
 
|-
 
|
 
|-
 
|
 
|-
 
|
 
|}
 
  
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
 
!Step 2: &nbsp;
 
|-
 
|
 
|-
 
|
 
|}
 
 
'''(b)'''
 
 
{| 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;
 
|-
 
|&nbsp;&nbsp; '''(a)'''
 
|-
 
|&nbsp;&nbsp; '''(b)'''
 
|}
 
 
[[009C_Sample_Final_3|'''<u>Return to Sample Exam</u>''']]
 
[[009C_Sample_Final_3|'''<u>Return to Sample Exam</u>''']]

Latest revision as of 16:30, 3 December 2017

A curve is given in polar coordinates by  

(a) Sketch the curve.

(b) Find the area enclosed by the curve.


Solution


Detailed Solution


Return to Sample Exam