The velocity of an object moving along a line is given by v = 2t + 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.

The velocity of an object moving along a line is given by v = 2t + 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.

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

Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...

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Question

The velocity of an object moving along a line is given by

v=2t2+1

ft/s on the interval

0≤t≤4.

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).

The velocity of an object moving along a line is given by v = 2t + 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).
Click the icon to view the figures.
i
Figures for (a) and (b)
Ay
40-
Ay
40-
20-
20-
X
0-
4
(a)
(b)

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