Difference between revisions of "009C Sample Final 3, Problem 9"

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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 wheel of radius 1 rolls along a straight line, say the <math>x</math>-axis. A point <math>P</math> is located halfway between the center of the wheel and the rim. As the wheel rolls, <math>P</math> traces a curve. Find parametric equations for the curve.
 
 
::<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) <math style="vertical-align: -12px">\lim_{n\rightarrow \infty} \frac{\ln n}{\ln 3n}</math>
 
  
 
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
 
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"

Revision as of 12:05, 18 February 2017

A wheel of radius 1 rolls along a straight line, say the -axis. A point is located halfway between the center of the wheel and the rim. As the wheel rolls, traces a curve. Find parametric equations for the curve.

Foundations:  

Solution:

(a)

Step 1:  
Step 2:  

(b)

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

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