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Calculus I (Practice Problems) / Applications of Integrals / Work   [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 I - Practice Problems
Integrals Previous Chapter   Next Chapter Extras
More Volume Problems Previous Section   Next Section Extras (Introduction)

 

1. A force of , x is in meters, acts on an object.  What is the work required to move the object from  to ? [Solution]

 

2. A spring has a natural length of 18 inches and a force of 20 lbs is required to stretch and hold the spring to a length of 24 inches.  What is the work required to stretch the spring from a length of 21 inches to a length of 26 inches? [Solution]

 

3. A cable that weighs  kg/meter is lifting a load of 150 kg that is initially at the bottom of a 50 meter shaft.  How much work is required to lift the load  of the way up the shaft? [Solution]

 

4. A tank of water is 15 feet long and has a cross section in the shape of an equilateral triangle with sides 2 feet long (point of the triangle points directly down).  The tank is filled with water to a depth of 9 inches.  Determine the amount of work needed to pump all of the water to the top of the tank.  Assume that the density of water is 62 lb/ft3. [Solution] 

 

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Calculus I (Practice Problems) / Applications of Integrals / Work    [Notes] [Practice Problems] [Assignment Problems]

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