Unformatted text preview: ࠵ . The resistance in Medium1 is ࠵ ࠵ ! , in Meduim2 is ࠵ ࠵ ! , and in Medium3 is ࠵ ࠵ ! . Compute the bullet’s speed to enter Medium1 such that the bullet will pass through Medum1 and then Medium2, and then Medium3, and magically stop precisely at the edge of Medium3. You may neglect gravity. Problem 4.5: Suppose that the fish population ࠵ ( ࠵ ) in a lake is attacked by a disease (such as human being who eats them) at time ࠵ = , with the result that the fish cease to reproduce (so that the birth rate is ࠵ = ) and the death rate ࠵ (deaths per week per fish) is thereafter proportional to ࠵ ! ! ! . If there were initially 999 fish in the lake and 66 were left after 16 weeks, how long did it take all the fish in the lake to die? Can you change the “66” to a different number such that the fish count never changes with time? To what number if so?...
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 Spring '08
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