Assume the annual rate of change in the national debt of a country (in billions of dollars per year) can be modeled by the function D'(t) = 847.47 +823.12t- 168.69t + 13.41 where t is the number of years since 1995. By how much did the debt increase between 1996 and 2002? The debt increased by $ (Round to two decimal places as needed.) billion.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Assume the annual rate of change in the national debt of a country (in billions of dollars per year) can be modeled by the function
D'(t) = 847.47 + 823.12t - 168.69t + 13.4t
%3D
where t is the number of years since 1995. By how much did the debt increase between 1996 and 2002?
The debt increased by $
(Round to two decimal places as needed.)
billion.
Transcribed Image Text:Assume the annual rate of change in the national debt of a country (in billions of dollars per year) can be modeled by the function D'(t) = 847.47 + 823.12t - 168.69t + 13.4t %3D where t is the number of years since 1995. By how much did the debt increase between 1996 and 2002? The debt increased by $ (Round to two decimal places as needed.) billion.
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