Mathematics, 28.05.2021 14:00 MilanPatel
The rate of change in sales for Garmin from 2008 through 2013 can be modeled by
dS/dT = -0.0972t^2 + 2.136t -11.9
where S is the sales (in billions of dollars) and is the time in years, with t = 8 corresponding to 2008. In 2009, the sales for Garmin were $2.9 billion.
A. Find the model for the sales of Garmin.
B. What were the average sales of Garmin from 2008 through 2013?
Answers: 2
. 
(1)
is the integration constant. 
and 
, then the model for the sales of Garmin is:
) is determined by the integral form of the definition of average, this is:
(2)![\bar S = \frac{1}{5}\cdot \int\limits^{13}_{8} {\left[-\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2}-11.9\cdot t + 47.112 \right]} \, dt](/tpl/images/1353/3326/e6b02.png)
![\bar S = \frac{1}{5}\cdot \left[-\frac{81}{10000}\cdot (13^{4}-8^{4}) +\frac{89}{250}\cdot (13^{3}-8^{3}) -\frac{119}{20}\cdot (13^{2}-8^{2}) +47.112\cdot (13-8) \right]](/tpl/images/1353/3326/75065.png)
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The rate of change in sales for Garmin from 2008 through 2013 can be modeled by
dS/dT = -0.0972t^2...
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