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

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(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...")
 
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<span class="exam">Compute
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<span class="exam">A curve is given in polar coordinates by <math>r=4+3\sin \theta</math>
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::::::<math>0\leq \theta \leq 2\pi</math>
  
::<span class="exam">a) <math style="vertical-align: -12px">\lim_{n\rightarrow \infty} \frac{3-2n^2}{5n^2+n+1}</math>
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::<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>
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::<span class="exam">b) Find the area enclosed by the curve.
  
 
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
 
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"

Revision as of 12:02, 18 February 2017

A curve is given in polar coordinates by

a) Sketch the curve.
b) Find the area enclosed by the curve.
Foundations:  

Solution:

(a)

Step 1:  
Step 2:  

(b)

Step 1:  
Step 2:  
Final Answer:  
   (a)
   (b)

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