The velocity of an object moving along a line is given by v = 4t +2 ft/s on the interval 1sts5. a. Divide the interval [1, 5] into subintervals, [1, 2], [2, 3], [3, 4], and [4, 5]. On each subinterval, assume the object moves at a constant velocity equal to the value of v evaluated at the midpoint of the subinterval and use these approximations to estimate the displacement of the object on [1, 5]. (See part (a) of the figure.) b. Repeat part (a) for n = 8 subintervals (see part (b) of the figure). Click the icon to view the figures. a. For n= 4 subintervals, the approximate displacement of the object is (Simplify your answer.) ft.

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The velocity of an object moving along a line is given by v = 4t +2 ft/s on the interval 1sts5.
a. Divide the interval [1, 5] into subintervals, [1, 2], [2, 3], [3, 4], and [4, 5]. On each subinterval, assume the object moves at a constant velocity equal to the value of v evaluated at the
midpoint of the subinterval and use these approximations to estimate the displacement of the object on [1, 5]. (See part (a) of the figure.)
b. Repeat part (a) for n = 8 subintervals (see part (b) of the figure).
Click the icon to view the figures.
a. For n= 4 subintervals, the approximate displacement of the object is
(Simplify your answer.)
ft.
Transcribed Image Text:The velocity of an object moving along a line is given by v = 4t +2 ft/s on the interval 1sts5. a. Divide the interval [1, 5] into subintervals, [1, 2], [2, 3], [3, 4], and [4, 5]. On each subinterval, assume the object moves at a constant velocity equal to the value of v evaluated at the midpoint of the subinterval and use these approximations to estimate the displacement of the object on [1, 5]. (See part (a) of the figure.) b. Repeat part (a) for n = 8 subintervals (see part (b) of the figure). Click the icon to view the figures. a. For n= 4 subintervals, the approximate displacement of the object is (Simplify your answer.) ft.
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