Math Team Homework 7 - and radius 10 cm rotating at 33 1/3...

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Math Team Homework Due: November 1, 2007 Section 12 Scribe: Andrew Fayad Reporter: Matt Carrier Manager: Kathy Holm Report: We met on Tuesday for about 1 ½ Hours. Everyone contributed an equal amount of work and effort into solving the problems. We each helped each other with all of the problems so we all would understand them. Kathy organized the meeting and Andrew wrote up the final report.
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Section 8.5 # 18 A cylindrical barrel, standing upright on its circular end, contains muddy water. The top of the barrel, which has a diameter 1 meter, is open. The height of the barrel is 1.8 meter and it is filled to a depth of 1.5 meter. The density of the water at a depth of h meters below the surface is given by ( δ h ) = 1+ kh kg/m^3, where k is a positive constant. Find the total work done to pump the muddy water to the top rim of the barrel. (You can leave pi, k and g in your answer.)
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Section 8.5 #30 Find the kinetic energy of a phonograph record of uniform density, mass 50gm
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Unformatted text preview: and radius 10 cm rotating at 33 1/3 revolutions per minute. KE=1.2mv^2 Section 8.7 #16 The density function and cumulative distribution function of heights of grass plants in a meadow are in Figures 8.85 and 8.86, respectively. (a)There are two species of grass in the meadow, a short grass and a tall grass. Explain how the graph of the density function reflects this fact. (b)Explain how the graph of the cumulative distribution functions reflects the fact that there are two species of grass in the meadow. (c) About what percentage of the grasses in the meadow belong to the short grass species? Chapter 8 Review #46 An underground tank filled with gasoline of density 42 lb/ft^3 is a hemisphere of radius 5 ft, as in figure 8.102. Use an integral to find the work to pump gasoline over the top of the tank....
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