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The table gives the cumulative sales of ipods since their introduction. Cumulative iPod Sales Sales Year (million ipods) 2003 2.62 2004 4.836 2005 29.733 2006

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The table gives the cumulative sales of ipods since their introduction. Cumulative iPod Sales Sales Year (million ipods) 2003 2.62 2004 4.836 2005 29.733 2006 67.542 2007 119.172 2008 173.9 (a) Find the function for the quadratic model that gives sales in million iPods, where x is the number of years after 2003, with data from 0 S x 5 5. (Round all numerical values to three decimal places.) s(x) = million ipods (b) Write the derivative for the sales model. (Round all numerical values to three decimal places.) s' ( x ) = million ipods per year (c) Calculate the rate of change of cumulative sales in 2005. (Round your answer to three decimal places.) million ipods per year Interpret the rate of change of cumulative sales in 2005. (Round your answer to three decimal places.) In 2005, cumulative iPod sales were increasing | by million per year. Need Help? Read It

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