P20 - Project 20 MAC 2311 YOU MUST SHOW YOUR WORK TO...

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Project 20 MAC 2311 YOU MUST SHOW YOUR WORK TO RECEIVE FULL CREDIT!! In this project, we are going to work through ONE related rate problem IN DETAIL. Think VERY CAREFULLY about the ideas presented in it. 1. A glacier, roughly the shape of a cylinder, is observed to be melting in such a way that its radius R is decreasing by . 0004 miles (about 2 feet) each year and its height H is decreasing by . 0006 miles (about 3 feet) every year. Draw a picture of the glacier if it currently has a radius of 2 miles and height 1 miles. Then draw a picture of the glacier 100 years from now. What is the total change in the volume of the glacier over these 100 years? What is the average change in volume per year over those 100 years? Include units and round your answers to the nearest thousandth. What do dH dt and dR dt represent (include units)? Are they constant functions in this problem? (Remember: derivatives are functions!! — are we assuming that each one has the same value at every time t )? What is the geometric formula relating
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This note was uploaded on 01/13/2010 for the course MAC 2311 taught by Professor All during the Fall '08 term at University of Florida.

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P20 - Project 20 MAC 2311 YOU MUST SHOW YOUR WORK TO...

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