dV where V is dt The flow rate of a pipe, Q in (m³/s) is given by Q= volume (in m) and t is time in (s). The volume in a pipe at time t is given in Table 1. Table 1 t, s 2 4 6 10 V(t), m³ 6.34 7.56 3.87 5.09 4.59 Estimate the flow rate Q at time t = 4s by using: (a) 2-Point Forward Difference (b) 2-Point Backward Difference (c) 3-Point Central Difference

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The flow rate of a pipe, Q in (m/s) is given by Q =
dV
where V is
dt
volume (in m) and t is time in (s). The volume in a pipe at time t is
given in Table 1.
Table 1
4 6
t, s
2
8
10
V(t), m3
7.56
3.87
5.09
6.34
4.59
Estimate the flow rate Q at time t = 4s by using:
(a)
2-Point Forward Difference
(b)
2-Point Backward Difference
(c)
3-Point Central Difference
Transcribed Image Text:The flow rate of a pipe, Q in (m/s) is given by Q = dV where V is dt volume (in m) and t is time in (s). The volume in a pipe at time t is given in Table 1. Table 1 4 6 t, s 2 8 10 V(t), m3 7.56 3.87 5.09 6.34 4.59 Estimate the flow rate Q at time t = 4s by using: (a) 2-Point Forward Difference (b) 2-Point Backward Difference (c) 3-Point Central Difference
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