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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 III - Practice Problems
 Applications of Partial Derivatives Previous Chapter Next Chapter Line Integrals Triple Integrals in Cylindrical Coordinates Previous Section Next Section Change of Variables

## Triple Integrals in Spherical Coordinates

1. Evaluate  where E is the region portion of  with . [Solution]

2. Evaluate  where E is the region portion of  with . [Solution]

3. Evaluate   where E is the region below  and inside . [Solution]

4. Evaluate   where E is the region above  and inside . [Solution]

5. Evaluate the following integral by first converting to an integral in spherical coordinates.

[Solution]

Problem Pane
 Triple Integrals in Cylindrical Coordinates Previous Section Next Section Change of Variables Applications of Partial Derivatives Previous Chapter Next Chapter Line Integrals

[Notes]

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