Researchers have found that the radius R to which a plant will grow is affected by the

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Researchers have found that the radius R to which a plant will grow is affected by the number of plants N in the area, as described by the equation

where D is the density of the plants in an area and N0 is the number of plants in the area initially.

(a) Find dR/dN.

(b) Based on the sign of your answer to part (a), what can you say about how the maximum radius of a plant is affected as the number of plants in the area increases?

(c) What happens to dR/dN as N approaches 0? As N approaches N0?

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