HW 13 Solutions

# HW 13 Solutions - Limits and ARC homework solutions STOR...

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Limits and ARC homework solutions STOR 112 1. 10.4.26 (a) Average rate of change over [3 , 9] is P (9) - P (3) 9 - 3) = 6 . 2 - 6 . 8 9 - 3 = - . 6 6 = - 0 . 1% peryear So on average,U.S. education expenditure decreased at a rate of 0.1 % per year during 2003-2009. (b) Average rate of change over [5 , 9] is P (9) - P (5) 9 - 5 = 6 . 2 - 7 9 - 5 = - 0 . 8 4 = - 0 . 2% peryear So on average, expenditure decreased at a rate of 0.2 % per year during 2005-2009. 10.4.28 (a) The period 2001-2006 is represented by [1 , 6]. The average rate of change I ( t ) is I (6) - I (1) 6 - 1) = 1 . 5 - 1 . 35 6 - 1 = 0 . 15 5 = 0 . 03 millionbarrels/year During 2001-2006, daily oil imports from Mexico were increasing at an average rate of 30,000 barrels of oil per year.

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(b) The one year average rates of change from 2000 to 2003 are the successive diﬀerences: I (1) - I (0), I (2) - I (1), . .., I (4) - I (3). From the table, these diﬀerences are: - 0 . 05 , 0 . 15 , 0 . 05 , 0 . 05 and thus never drecreased in value. Choice D.
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## This note was uploaded on 11/27/2011 for the course STOR 112 taught by Professor Rubin,david during the Fall '06 term at UNC.

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HW 13 Solutions - Limits and ARC homework solutions STOR...

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