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Unformatted text preview: between tuneups? 6. (6 points) The mass of a sample of Polonium210 decreases at a rate proportional to its mass. Let P ( t ) denote the mass of a sample of Polonium210 at time t , with t measured in days. (a) Write a diﬀerential equation for P ( t ). (b) Solve the diﬀerential equation for P ( t ). (c) If P (0) = 50 grams and P (72 days) = 35 grams, ﬁnd P (100 days). 7. (6 points) Consider the diﬀerential equation y = 4y 2 . (a) What are the equilibrium (constant) solutions? (b) For what values of y is y increasing? (c) For what values of y is y decreasing? 8. (4 points) Find the area of the region enclosed by the curves y = x 24 x and y = 2 xx 2 . 9. (4 points) Find the volume of the solid obtained by rotating the region enclosed by the graph of y = p sin(3 x ) and the xaxis from x = 0 to x = π 3 about the xaxis....
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 Spring '08
 Fitzsimmons
 Probability distribution, Probability theory, probability density function

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