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Unformatted text preview: the depth of the water is 3 feet, what percentage of the total capacity of the tank is lled? After drawing a picture and setting up this problem, solve it three ways: (a) Use elementary geometry (compare areas of circular sectors). (b) Express the answer in terms of a denite integral, then obtain an approximate numerical value for the integral using the fnInt( function on your calculator. (c) Evaluate the integral in b) exactly in terms of elementary functions using a trig substitu-tion, then obtain approximate numerial values for these functions using your calculator. 5. (a) Find R e 2 x e 2 x +1 dx. (b) Find R e x e 2 x +1 dx. Comment These antiderivatives may appear similar, but dierent methods are needed....
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- Spring '11