The median size of a new single-family house built in the United States between 1987 and 2001 can be modeled by the equation H(x) = 0.359x3 - 15.198x2 + 221.738x + 862.514 square feet where x is the number of years after 1980. t (a) Determine the value of x in the domain 7sx s 21 for which the median house size was increasing least rapidly. (Round your answer to three decimal places.) Thus, in which year was the median house size was increasing least rapidly? Find the corresponding house size. (Round your answer to one decimal place.) square ft Find the corresponding rate of change in house size. (Round your answer to three decimal places.) square feet per year

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