Difference between revisions of "009C Sample Final 3, Problem 7"

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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">a) <math style="vertical-align: -12px">\lim_{n\rightarrow \infty} \frac{3-2n^2}{5n^2+n+1}</math>
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::<math>r=1+\cos^2(2\theta).</math>
  
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::<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">(a) Show that the point with Cartesian coordinates &nbsp;<math style="vertical-align: -15px">(x,y)=\bigg(\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2}\bigg)</math>&nbsp; belongs to the curve.
  
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<span class="exam">(b) Sketch the curve.
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!Foundations: &nbsp;
 
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'''Solution:'''
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<span class="exam">(c) In Cartesian coordinates, find the equation of the tangent line at &nbsp;<math style="vertical-align: -15px">\bigg(\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2}\bigg).</math>
  
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'''(a)'''
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[[009C Sample Final 3, Problem 7 Solution|'''<u>Solution</u>''']]
  
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[[009C Sample Final 3, Problem 7 Detailed Solution|'''<u>Detailed Solution</u>''']]
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|&nbsp;&nbsp; '''(a)'''
 
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[[009C_Sample_Final_3|'''<u>Return to Sample Exam</u>''']]
 
[[009C_Sample_Final_3|'''<u>Return to Sample Exam</u>''']]

Latest revision as of 16:25, 3 December 2017

A curve is given in polar coordinates by

(a) Show that the point with Cartesian coordinates    belongs to the curve.

(b) Sketch the curve.

(c) In Cartesian coordinates, find the equation of the tangent line at  

Solution


Detailed Solution


Return to Sample Exam

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