Paul's Online Math Notes
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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 - Assignment Problems
 Partial Derivatives Previous Chapter Next Chapter Multiple Integrals Tangent Planes and Linear Approximations Previous Section Next Section Relative Minimums and Maximums

## Gradient Vector, Tangent Planes and Normal Lines

1. Find the tangent plane and normal line to  at .

2. Find the tangent plane and normal line to  at

3. Find the tangent plane and normal line to  at

4. Find the point(s) on  where the tangent plane to the surface is parallel to the plane given by .

5. Find the point(s) on  where the tangent plane to the surface is parallel to the plane given by .

 Tangent Planes and Linear Approximations Previous Section Next Section Relative Minimums and Maximums Partial Derivatives Previous Chapter Next Chapter Multiple Integrals

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