The first two sub-intervals in the table are [0, 0.5] and [0.5, 1.0]. When calculating L6, we should use the function values v = and v = for these two sub- intervals, respectively.
The first two sub-intervals in the table are [0, 0.5] and [0.5, 1.0]. When calculating L6, we should use the function values v = and v = for these two sub- intervals, respectively.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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Question
i need step 3 please
![The speed of a runner increased steadily during the first three seconds of a race. Her speed at half-second
intervals is given in the table. Find lower and upper estimates for the distance that she traveled during these
three seconds.
t (s)
0 0.5
1.0
1.5
2.0
2.5
3.0
v (ft/s) |0 6.2 10.8 14.9 | 18.1 19.4 20.2
Step 1
We will use either Le or R, for the upper and lower estimates.
Since the runner's speed is an increasing function, then "6
will give the lower
L6
estimate, and
R.
9,
will give the upper estimate.
Step 2
The sub-interval widths At for this situation are At = 0.5
0.5
Step 3
The first two sub-intervals in the table are [0, 0.5] and [0.5, 1.0].
When calculating Le, we should use the function values v =
and v =
for these two sub-
intervals, respectively.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6c1dbb76-100f-4505-9378-9cd134ec3ace%2Fa895309a-caad-4094-9e7f-72def022ddab%2Fo2x132j_processed.png&w=3840&q=75)
Transcribed Image Text:The speed of a runner increased steadily during the first three seconds of a race. Her speed at half-second
intervals is given in the table. Find lower and upper estimates for the distance that she traveled during these
three seconds.
t (s)
0 0.5
1.0
1.5
2.0
2.5
3.0
v (ft/s) |0 6.2 10.8 14.9 | 18.1 19.4 20.2
Step 1
We will use either Le or R, for the upper and lower estimates.
Since the runner's speed is an increasing function, then "6
will give the lower
L6
estimate, and
R.
9,
will give the upper estimate.
Step 2
The sub-interval widths At for this situation are At = 0.5
0.5
Step 3
The first two sub-intervals in the table are [0, 0.5] and [0.5, 1.0].
When calculating Le, we should use the function values v =
and v =
for these two sub-
intervals, respectively.
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