Wheat production in a given year depends on the average temperature and the annual

Chapter 14, Problem 36

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Wheat production in a given year depends on the average temperature and the annual rainfall . Scientists estimate that the average temperature is rising at a rate of 0.15C_year and rainfall is decreasing at a rate of 0.1 cm_year. They also estimate that, at current production levels, and . (a) What is the significance of the signs of these partial derivatives? (b) Estimate the current rate of change of wheat production, .

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