2 years ago

Five subtracted from 7 is two

Mathematics

1 answer:

Brrunno [24]2 years ago

7 0

Answer:2

Step-by-step explanation:

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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 gall

julsineya [31]

Answer:

117 gallons

Step-by-step explanation:

The expression that describes the rate of U.S. per capita sales of bottled water for the period 2007–2014 is:

$s(t) = 0.25t^2-t+29$

Since t=0 at 2007. At 2009 and 2013, t is:

$t_1=2009-2007 = 2\\t_2=2013-2007 = 6$

The definite integral of the expression from t=2 to t=6 is:

$s(t) = 0.25t^2-t+29\\\int\limits^6_2 {s(t)} \, dt= \int\limits^6_2 {(0.25t^2-t+29)} \, dt\\\int\limits^6_2 {s(t)} \,dt= (\frac{t^3}{12} -\frac{t^2}{2}+29t +c)|^6_2 \\S(6) -S(2) = (\frac{6^3}{12} -\frac{6^2}{2}+29*6 +c) - (\frac{2^3}{12} -\frac{2^2}{2}+29*2 +c)\\S(6) -S(2) = 117.333\ gallons$