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Calculus II (Assignment Problems) / Parametric Equations and Polar Coordinates / Arc Length with Polar Coordinates   [Notes] [Practice Problems] [Assignment Problems]

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On August 21 I am planning to perform a major update to the site. I can't give a specific time in which the update will happen other than probably sometime between 6:30 a.m. and 8:00 a.m. (Central Time, USA). There is a very small chance that a prior commitment will interfere with this and if so the update will be rescheduled for a later date.

I have spent the better part of the last year or so rebuilding the site from the ground up and the result should (hopefully) lead to quicker load times for the pages and for a better experience on mobile platforms. For the most part the update should be seamless for you with a couple of potential exceptions. I have tried to set things up so that there should be next to no down time on the site. However, if you are the site right as the update happens there is a small possibility that you will get a "server not found" type of error for a few seconds before the new site starts being served. In addition, the first couple of pages will take some time to load as the site comes online. Page load time should decrease significantly once things get up and running however.


Paul
August 7, 2018


Calculus II - Assignment Problems
Applications of Integrals Previous Chapter   Next Chapter Series & Sequences
Area with Polar Coordinates Previous Section   Next Section Surface Area with Polar Coordinates

 Arc Length with Polar Coordinates

For problems 1  3  determine the length of the given polar curve.  For these problems you may assume that the curve traces out exactly once for the given range of .

 

1. ,   

 

2. ,  

 

3. ,   

 

For problems 4  6 set up, but do not evaluate, an integral that gives the length of the given polar curve.  For these problems you may assume that the curve traces out exactly once for the given range of .

 

4. ,   

 

5. ,   

 

6. ,    

 

Area with Polar Coordinates Previous Section   Next Section Surface Area with Polar Coordinates
Applications of Integrals Previous Chapter   Next Chapter Series & Sequences

Calculus II (Assignment Problems) / Parametric Equations and Polar Coordinates / Arc Length with Polar Coordinates    [Notes] [Practice Problems] [Assignment Problems]

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