Unformatted text preview: ࠵ . The resistance in Medium-1 is ࠵ ࠵ ! , in Meduim-2 is ࠵ ࠵ ! , and in Medium-3 is ࠵ ࠵ ! . Compute the bullet’s speed to enter Medium-1 such that the bullet will pass through Medum-1 and then Medium-2, and then Medium-3, and magically stop precisely at the edge of Medium-3. 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