Depth Porosity (%) |(ft) 2,040 8.25 2,041 9.00 2,042 6.25 2,043 5.00 2,044 5.30 2,045 4.75 2,046 5.00

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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What are the values of C(4), C(5) and C(6)?

c(1) = (8.25 x 9.0 + 9 × 6.25 + 6.25 ×x 5.0
+ 4.75 x 5.0) – (6.22) = 0.8408.
Similarly, at a lag distance of 2.0 ft, we have five pairs.
c(2) = ( 8.25 × 6.25 + 9.0 × 5.0
+ 5.3 x 5.0) - (6.22) = - 2.7009.
+ ...
Using similar calculations, we can calculate the value of
covariance at a lag distance of 3 ft as
c(3) = (8.25 x 5.0 + 9.0 x 5.3 + 6.25 × 4.75
+ 5.0 x 5.0) – (6.22) = - 2.7790.
We calculate only to this point because the number of pairs be-
comes smaller at additional lag distances. As a special case,
the definition at L = 0 is
Transcribed Image Text:c(1) = (8.25 x 9.0 + 9 × 6.25 + 6.25 ×x 5.0 + 4.75 x 5.0) – (6.22) = 0.8408. Similarly, at a lag distance of 2.0 ft, we have five pairs. c(2) = ( 8.25 × 6.25 + 9.0 × 5.0 + 5.3 x 5.0) - (6.22) = - 2.7009. + ... Using similar calculations, we can calculate the value of covariance at a lag distance of 3 ft as c(3) = (8.25 x 5.0 + 9.0 x 5.3 + 6.25 × 4.75 + 5.0 x 5.0) – (6.22) = - 2.7790. We calculate only to this point because the number of pairs be- comes smaller at additional lag distances. As a special case, the definition at L = 0 is
Depth
(ft)
Porosity
(%)
2,040
8.25
2,041
9.00
2,042
6.25
2,043
5.00
2,044
5.30
2,045
4.75
2,046
5.00
Transcribed Image Text:Depth (ft) Porosity (%) 2,040 8.25 2,041 9.00 2,042 6.25 2,043 5.00 2,044 5.30 2,045 4.75 2,046 5.00
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