80+ v = fu) 80 v = f() 60 60- 40 40 20 20 (a) (b)
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The velocity in ft/s of an object moving along a line is given by
v = ƒ(t) on the interval 0 ≤ t ≤ 6 (see figure), where t is
measured in seconds.
a. Divide the interval [0, 6] into n = 3 subintervals, [0, 2], [2, 4],
and [4, 6]. On each subinterval, assume the object moves at a
constant velocity equal to the value of v evaluated at the left
endpoint of the subinterval, and use these approximations to
estimate the displacement of the object on [0, 6]
b. Repeat part (a) for n = 6 subintervals
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