Recall that, using left endpoints, the area A of the region that lies under the graph of the continuous function v is the limit of the sum of the areas of the n approximating rectangles as follows. A = lim L, n = lim vlt, Jat + v(e, )ar + .. ... Here we wish to find L, where At = 0.5. Therefore, we have the following. t = v(E,X0.5) + v(r,)(0.5) + v[t,)(0.5) + v(t,)(0.5) + v(t,(0.5) + v(r,)(0.5) We refer again to the given table. t (s) 0 0.5 1.0 1.5 2.0 2.5 3.0 v (ft/s) 0 6.2 18.1 20.2 10.8 14.9 19.4 Substituting the appropriate values of v from the table gives us the following result. L =
Recall that, using left endpoints, the area A of the region that lies under the graph of the continuous function v is the limit of the sum of the areas of the n approximating rectangles as follows. A = lim L, n = lim vlt, Jat + v(e, )ar + .. ... Here we wish to find L, where At = 0.5. Therefore, we have the following. t = v(E,X0.5) + v(r,)(0.5) + v[t,)(0.5) + v(t,)(0.5) + v(t,(0.5) + v(r,)(0.5) We refer again to the given table. t (s) 0 0.5 1.0 1.5 2.0 2.5 3.0 v (ft/s) 0 6.2 18.1 20.2 10.8 14.9 19.4 Substituting the appropriate values of v from the table gives us the following result. L =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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
Transcribed Image Text:Recall that, using left endpoints, the area A of the region that lies under the graph of the continuous function
v is the limit of the sum of the areas of the n approximating rectangles as follows.
A = lim L, = lim v(e,)at + v[t, )at + ... + v(t, - 1)a
Here we wish to find L, where At = 0.5. Therefore, we have the following.
4 = vlt,(0.5) + v(t, )(o.5) + v(e, )(0.5) + ve,)(0.5) + (t,(0.5) + v(t,)(0.5)
We refer again to the given table.
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
Substituting the appropriate values of v from the table gives us the following result.
Submit || Skip (you cannot come back)
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