Posted by Madeline on Friday, February 8, 2013 at 2:56pm.
a) divide the domain into 4 intervals (of length 10 each)
evaluate f(x) at the midpoint of each interval (5,15,25,35) and multiply by the interval width.
That adds up the area of 4 rectangles to approximate the area under the curve
This area is the distance flown by the plane. (velocity times time in each interval)
b)acceleration=0 means a constant velocity during the interval.
c) just take the derivative to get the acceleration. Evaluate at t=23
d) the average velocity is the distance flown(integral of velocity) divided by time (40)
That should get you on your way.
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