Problems 1. In a certain coastal rainforest, the density of trees depends on the distance from the coast. Let n(z) denot
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Problems 1. In a certain coastal rainforest, the density of trees depends on the distance from the coast. Let n(z) denot
Problems 1. In a certain coastal rainforest, the density of trees depends on the distance from the coast. Let n(z) denote the number of trees per square mile at a distance z miles from the coast. (a) If the rainforest is a rectangle with 50 miles of coastline that extends 100 miles inland, how many trees does the forest contain? Overall, what is the average number of trees per square mile? (b) Now suppose the rainforest is on a circular island of diameter 100 miles. How many trees does the forest contain? Overall, what is the average number of trees per square mile?
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