The speed of a runner increased steadily during the first three seconds of a race. Her speed at halfsecond intervals is given in the table. Find lower and upper estimates for the distance (in ft) that she traveled during these three seconds.  t(s) 0 0.5 1.0 1.5 2.0 2.5 3.0 v(ft/s) 0 6.7 9.2 15.5 18.8 19.4 20.

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Chapter2: Second-order Linear Odes
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The speed of a runner increased steadily during the first three seconds of a race. Her speed at halfsecond intervals is given in the table. Find lower and upper estimates for the distance (in ft) that she
traveled during these three seconds. 
t(s) 0 0.5 1.0 1.5 2.0 2.5 3.0
v(ft/s) 0 6.7 9.2 15.5 18.8 19.4 20.

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