The following equation approximates the value of the U.S. Consumer Price Index (CPI) from December 2006 through July 2007: ?(?)=−0.04?3+0.4?2+0.1?+202  Where t is the time in months since the start of December 2006. Determine when inflation was speeding up and slowing down between the start of December 2006 and the start of July 2007.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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The following equation approximates the value of the U.S. Consumer Price Index (CPI) from December 2006 through July 2007:

?(?)=−0.04?3+0.4?2+0.1?+202 

Where t is the time in months since the start of December 2006. Determine when inflation was speeding up and slowing down between the start of December 2006 and the start of July 2007. 

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