the following equation. N(t) = 1.1375t2 + 0.25t + 4.6    (0 ≤ t ≤ 4) Here, t is measured in years, with  t = 0  corresponding to 2008.† Show that the percentage of U.S. homes and businesses with digital electrical meters was always increasing between 2008 and 2012. Find  N'(t). N'(t)  =

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Section2.1: Tables And Trends
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 The percentage of U.S. homes and businesses with digital electrical meters between 2008 and 2012 is approximated by the following equation.
N(t) = 1.1375t2 + 0.25t + 4.6    (0 ≤ t ≤ 4)
Here, t is measured in years, with 
t = 0
 corresponding to 2008.† Show that the percentage of U.S. homes and businesses with digital electrical meters was always increasing between 2008 and 2012.
Find 
N'(t).
N'(t)
 = 
 
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