The rate of U.S. per capita sales of bottled water for the period 2007–2014 could be approximated by s(t) = 0.25t2 − t + 29 gallons per year (0 ≤ t ≤ 7), where t is time in years since the start of 2007.† Use a definite integral to estimate the total U.S. per capita sales of bottled water from the start of 2009 to the start of 2011. (Round your answer to the nearest gallon.) =________________gallon
Added by Michael D.
Step 1
The function s(t) is defined with t being the time in years since the start of 2007. So, the start of 2009 would be t = 2 and the start of 2011 would be t = 4. The total U.S. per capita sales of bottled water from the start of 2009 to the start of 2011 would be Show more…
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The rate of U.S. per capita sales of bottled water for the period 2007–2014 could be approximated by s(t) = 0.25t2 − t + 29 gallons per year (0 ≤ t ≤ 7), where t is time in years since the start of 2007.† Use a definite integral to estimate the total U.S. per capita sales of bottled water from the start of 2008 to the start of 2012. (Round your answer to the nearest gallon.)
Eduard S.
The rate of U.S. per capita sales of bottled water for the period 2007-2014 could be approximated by s(t) = 0.25t^2 - t + 29 gallons per year (0 ≤ t ≤ 7), where t is time in years since the start of 2007. Use a definite integral to estimate the total U.S. per capita sales of bottled water from the start of 2008 to the start of 2010. (Round your answer to the nearest gallon.)
Alice S.
The rate of U.S. per capita sales of bottled water for the period $2000-2008$ can be approximated by $s(t)=0.04 t^{2}+1.5 t+17$ gallons per year $\quad(0 \leq t \leq 8)$ where $t$ is the time in years since the start of $2000 .{ }^{6}$ Use an indefinite integral to approximate the total per capita sales $S(t)$ of bottled water since the start of 2000 . Approximately how much bottled water was sold, per capita, from the start of 2000 to the end of 2007 ? HINT [See Example 6. At the start of 2000 , sales since that time are zero.]
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