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3. The following model gives the supply of wine from France, based on data for the years 1994 200]: w(x) = 0.0473x 0.641x3 + 3.02xz

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3. The following model gives the supply of wine from France, based on data for the years 1994 200]: w(x) = 0.0473x" 0.641x3 + 3.02xz 4.83x + 62.8 where w(x) is in kilograms per capita and x is the number of years since 1994. a. According to the model, what was the per capita wine supply in I994? (Round to the nearest thousandth) b. Use this model to compute the wine supply from France for the year 1997. c. Use this model to compute the wine supply fromljranee for the year 2001 (1 Use the end behavior to detennine if this model Willlbefiaeciiiate for long-term predictions. 4. A cylindrical container is to be constructed so that the sum of its height and its diameter is 15 feet, 3. Write an equatiori relating the height of the cylinder, h, to its radius, r. Solve the equation for h in terms of r. b. The volume of a cylinder is given V = mlh. Use your answer in part a to express the volume of the cylindrical container in terms of r alone. Leave your expression in factored form so that it will be easier to analyze. c. What are the values ofr for which this problem makes sense? Explain

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