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Unformatted text preview: What are those two points in this particular case? Now, you have three possibilities for the two x-values you need. Plug them in and see which one gives you the largest and smallest area values. Keep in mind that with fractions, if the denominator gets bigger, the fraction gets smaller; more precisely, if A < B, then k k A B for any constant k such as 2 4 L k = . 10. As the water level drops, the radius decreases, so you cant just use 2 1 3 V r h = and treat r as a constant. However, you can write r as a very simple function of h using similar triangles. The two triangles in the picture are similar, so the ratio r/h is constant. When h = 10, you know r = 6, so what is that constant ratio? Use it to write r in terms of h, then substitute back into the volume formula....
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This note was uploaded on 05/18/2011 for the course MATH 270 taught by Professor Vakarietis during the Summer '08 term at University of Louisiana at Lafayette.
- Summer '08