Difference between revisions of "009C Sample Final 2, Problem 10"

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::<span class="exam"><math>x=t^2</math>
 
::<span class="exam"><math>x=t^2</math>
 
::<span class="exam"><math>y=t^3</math>
 
::<span class="exam"><math>y=t^3</math>
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::<span class="exam"><math>0\leq t \leq 2</math>
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::<span class="exam"><math>1\leq t \leq 2</math>
  
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!Foundations: &nbsp;
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[[009C Sample Final 2, Problem 10 Solution|'''<u>Solution</u>''']]
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|The formula for the arc length &nbsp;<math style="vertical-align: 0px">L</math>&nbsp; of a polar curve &nbsp;<math style="vertical-align: -5px">r=f(\theta)</math>&nbsp; with &nbsp;<math style="vertical-align: -4px">\alpha_1\leq \theta \leq \alpha_2</math>&nbsp; is
 
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&nbsp; &nbsp; &nbsp; &nbsp;<math>L=\int_{\alpha_1}^{\alpha_2} \sqrt{r^2+\bigg(\frac{dr}{d\theta}\bigg)^2}d\theta.</math>
 
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'''Solution:'''
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[[009C Sample Final 2, Problem 10 Detailed Solution|'''<u>Detailed Solution</u>''']]
  
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!Step 1: &nbsp;
 
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!Step 2: &nbsp;
 
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!Final Answer: &nbsp;
 
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|&nbsp;&nbsp;
 
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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 16:03, 3 December 2017

Find the length of the curve given by

Solution


Detailed Solution


Return to Sample Exam

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