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Unformatted text preview: checkup? (b) What is the probability that a dental patient will wait between two and three years for a dental checkup? 7. Consider the diﬀerential equation y = 2 y (1y ). (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. Find the area of the region enclosed by the curves y = 4x 2 and y = 4 x (2x ) and between x = 0 and x = 2. 9. 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) = 100 grams and P (140 days) = 50 grams, ﬁnd P (200 days)....
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 Spring '08
 Fitzsimmons
 Probability theory, #, 100 grams, 200 days, 50 grams, 140 days

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