Difference between revisions of "009C Sample Final 2, 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 curve is given in polar coordinates by
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::<span class="exam"><math>r=\sin(2\theta).</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) Compute &nbsp;<math style="vertical-align: -14px">y'=\frac{dy}{dx}.</math>
  
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<span class="exam">(c) Compute &nbsp;<math style="vertical-align: -14px">y''=\frac{d^2y}{dx^2}.</math>
!Foundations: &nbsp;
 
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'''Solution:'''
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[[009C Sample Final 2, Problem 9 Solution|'''<u>Solution</u>''']]
  
'''(a)'''
 
  
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[[009C Sample Final 2, Problem 9 Detailed Solution|'''<u>Detailed Solution</u>''']]
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!Step 2: &nbsp;
 
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'''(b)'''
 
 
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!Step 1: &nbsp;
 
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!Final Answer: &nbsp;
 
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|&nbsp;&nbsp; '''(a)'''
 
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|&nbsp;&nbsp; '''(b)'''
 
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[[009C_Sample_Final_2|'''<u>Return to Sample Exam</u>''']]
 
[[009C_Sample_Final_2|'''<u>Return to Sample Exam</u>''']]

Latest revision as of 18:36, 2 December 2017

A curve is given in polar coordinates by

(a) Sketch the curve.

(b) Compute  

(c) Compute  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''=\frac{d^2y}{dx^2}.}


Solution


Detailed Solution


Return to Sample Exam