4) The half-widths of a ship with a length of 60 m at the loaded waterline are given in the table below. Find the values of “a" and “*" according to Simpson's 1/3 rule, since the center of the area of this semi-water line is given as x coordinate = 25a + b and y coordinate ỹ = 1.43874a 1 2 3 4 y = f(x) 2.85 3.5 3.5 3.25 2.7 1.36 0 Note: h=x1- xo=x2– x1 =...=Xn– Xn-1 S*n x dA *nž dA Sn dA S™ dA Хо Xn h dA =÷(fo + 4f1 + 2f2 + •…·+ 2fn-2 + 4fn-1 + fn) Хо h x dA =[xofo + 4(x1 – xo)f1 + 2(x2 – xo)f2 + •… + 2(xn-2 – xo)fn-2 + 4(xn-1 – xo)fn-1+(xn – xo)fn] | Xn h da = fo + 4h + 2f2 + + 2=2, Уп-2 fn-2 + 4: ...+ 3
4) The half-widths of a ship with a length of 60 m at the loaded waterline are given in the table below. Find the values of “a" and “*" according to Simpson's 1/3 rule, since the center of the area of this semi-water line is given as x coordinate = 25a + b and y coordinate ỹ = 1.43874a 1 2 3 4 y = f(x) 2.85 3.5 3.5 3.25 2.7 1.36 0 Note: h=x1- xo=x2– x1 =...=Xn– Xn-1 S*n x dA *nž dA Sn dA S™ dA Хо Xn h dA =÷(fo + 4f1 + 2f2 + •…·+ 2fn-2 + 4fn-1 + fn) Хо h x dA =[xofo + 4(x1 – xo)f1 + 2(x2 – xo)f2 + •… + 2(xn-2 – xo)fn-2 + 4(xn-1 – xo)fn-1+(xn – xo)fn] | Xn h da = fo + 4h + 2f2 + + 2=2, Уп-2 fn-2 + 4: ...+ 3
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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Question
![4) The half-widths of a ship with a length of 60 m at the loaded waterline are given in the
table below. Find the values of “a" and “b" according to Simpson's 1/3 rule, since the center of
the area of this semi-water line is given as x coordinate = 25a + b and y coordinate
y = 1.43874a
X
3 4
y = f(x)
2.85 3.5
3.5
3.25 2.7
1.36 0
Note: h=xi– xo=x2– X1=...= Xn– Xn-1
S da
ỹ :
S" dA
y
S" dA
Xn
dA ==fo + 4fı + 2f2 + •…·+ 2fn-2 + 4fn-1 + fn)
Xo
Xn
h
x dA =[xofo + 4(x1 – xo)f1 + 2(x2 – xo)f2 + …· + 2(xn-2 – xo)fn-2
...
Хо
+ 4(xn-1 – Xo)fn-1+ (xn – xo)fn]
h [yo
Уп-2
Уп-1
z-2 + 4:
Yn
1을6 + 42A + 22h +… + 2쪽f-2 + 4f-1 +2
dA =
Xo](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fff42a8fc-05f0-4fc1-8eb6-366d47c84c07%2F1e49d974-e693-4116-ac8f-dbb43b3834b7%2Fn3if7ql_processed.png&w=3840&q=75)
Transcribed Image Text:4) The half-widths of a ship with a length of 60 m at the loaded waterline are given in the
table below. Find the values of “a" and “b" according to Simpson's 1/3 rule, since the center of
the area of this semi-water line is given as x coordinate = 25a + b and y coordinate
y = 1.43874a
X
3 4
y = f(x)
2.85 3.5
3.5
3.25 2.7
1.36 0
Note: h=xi– xo=x2– X1=...= Xn– Xn-1
S da
ỹ :
S" dA
y
S" dA
Xn
dA ==fo + 4fı + 2f2 + •…·+ 2fn-2 + 4fn-1 + fn)
Xo
Xn
h
x dA =[xofo + 4(x1 – xo)f1 + 2(x2 – xo)f2 + …· + 2(xn-2 – xo)fn-2
...
Хо
+ 4(xn-1 – Xo)fn-1+ (xn – xo)fn]
h [yo
Уп-2
Уп-1
z-2 + 4:
Yn
1을6 + 42A + 22h +… + 2쪽f-2 + 4f-1 +2
dA =
Xo
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