The U.S. total annual health care costs (actual and projected, in billions of dollars) for selected years are given in the table.YearCostYearCost2003177820153244200621672018378520092506202145432012281720245425These costs can be modeled byC(t) = 0.32t3 − 7.7t2 + 170t + 1300where C(t) is in billions of dollars per year and t is the number of years past 2000. Use a definite integral and this model to find the total U.S. health care costs (in billions of dollars) over the period 2009–2019. (Round your answer to the nearest integer.)

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Answered: The U.S. total annual health care costs…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The U.S. total annual health care costs (actual and projected, in billions of dollars) for selected years are given in the table.

Year	Cost	Year	Cost
2003	1778	2015	3244
2006	2167	2018	3785
2009	2506	2021	4543
2012	2817	2024	5425

These costs can be modeled by

C(t) = 0.32t³ − 7.7t² + 170t + 1300

where

C(t)

is in billions of dollars per year and t is the number of years past 2000. Use a definite integral and this model to find the total U.S. health care costs (in billions of dollars) over the period 2009–2019. (Round your answer to the nearest integer.)

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