The velocity of an object moving along a line is given by v = 3t2 + 1 ft/s on the interval 0sts4. a. Divide the interval [0, 4] into subintervals, [0, 1], [1, 2], [2, 3], and [3, 4]. 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 [0, 4]. (See part (a) of the figure.) b. Repeat part (a) for n = 8 subintervals (see part (b) of the figure). W Click the icon to view the figures. Figures for (a) and (b) Ay 60- Ay 60- 30- 30- 0- (a) (b)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
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The velocity of an object moving along a line is given by v = 3t2 + 1 ft/s on the interval 0sts4.
a. Divide the interval [0, 4] into subintervals, [o, 1], [1, 2], [2, 3], and [3, 4]. 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 [0, 4]. (See part (a) of the figure.)
b. Repeat part (a) for n=8 subintervals (see part (b) of the figure).
W Click the icon to view the figures.
Figures for (a) and (b)
60-
60-
30-
30-
0-
(a)
(b)
Transcribed Image Text:The velocity of an object moving along a line is given by v = 3t2 + 1 ft/s on the interval 0sts4. a. Divide the interval [0, 4] into subintervals, [o, 1], [1, 2], [2, 3], and [3, 4]. 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 [0, 4]. (See part (a) of the figure.) b. Repeat part (a) for n=8 subintervals (see part (b) of the figure). W Click the icon to view the figures. Figures for (a) and (b) 60- 60- 30- 30- 0- (a) (b)
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