Use simpson's '/3 mile to numerically From 0 to Tu. Show your solution : 14 12 Xo:6 f(x0):8 f (x₁) =15 10 X₁ = 1.5708 X₂ = 3.1416 8 f (x₂)=8 6 Answer: I 35.6047, error = 1.3434 %, 2 Exact: 35.1327 O formula: ( x- Xo) (X-X2 Xi - Xo ) ( X, Xe f(x₁) +... [ Lagrange Method] f (x2) where the integral of second-order from interpolating polynomial, evaluated Хо то X₂. X, is midway between Xo and the 0 0.5 1 1.5 → f₂(x) = -> 2 2.5 3 (x-x₁)(X-X₂ (XoX₁) (Xo-X ₂) f(xo)" ( x - Xo) ( x − X,) (Xe - Xo) ( Xz - x) I= √fe (x) integrate f (x) = 8 + 5 sin(x)
Use simpson's '/3 mile to numerically From 0 to Tu. Show your solution : 14 12 Xo:6 f(x0):8 f (x₁) =15 10 X₁ = 1.5708 X₂ = 3.1416 8 f (x₂)=8 6 Answer: I 35.6047, error = 1.3434 %, 2 Exact: 35.1327 O formula: ( x- Xo) (X-X2 Xi - Xo ) ( X, Xe f(x₁) +... [ Lagrange Method] f (x2) where the integral of second-order from interpolating polynomial, evaluated Хо то X₂. X, is midway between Xo and the 0 0.5 1 1.5 → f₂(x) = -> 2 2.5 3 (x-x₁)(X-X₂ (XoX₁) (Xo-X ₂) f(xo)" ( x - Xo) ( x − X,) (Xe - Xo) ( Xz - x) I= √fe (x) integrate f (x) = 8 + 5 sin(x)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Use simpson's '13 mile to numerically
From 0 to Tu. Show your solution :
14
lº
Xo:6
10
X₁ = 1.5708
8
X₂ = 3.1416
6
2
O
formula:
0 0.5 1 1.5
→ f₂(x) =
->
2 2.5 3
(x-x₁)(X-X₂
(XoX₁) (Xo-X ₂)
I= √fe (x)
f(x0):8
f (x₁) =15
f (x₂)=8
Answer:
I 35.6047, error = 1.3434 %,
Exact: 35.1327
( X- Xo ) ( X-X2
Xi - Xo ) ( X, Xe
f(x₁) +...
[ Lagrange Method]
f (x₂)
where the integral of second-order
from
interpolating polynomial, evaluated
Хо то
X₂. X, is midway between Xo and te
f(xo)"
( x - Xo) ( x − X,)
(Xe - Xo) ( Xz - x)
integrate
f (x) = 8 + 5 sin(x)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdef63d31-f865-4b68-b515-a831fa63a48e%2F78fd5dc5-45f4-4545-888a-50d0d51769bd%2Fwpiluz_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Use simpson's '13 mile to numerically
From 0 to Tu. Show your solution :
14
lº
Xo:6
10
X₁ = 1.5708
8
X₂ = 3.1416
6
2
O
formula:
0 0.5 1 1.5
→ f₂(x) =
->
2 2.5 3
(x-x₁)(X-X₂
(XoX₁) (Xo-X ₂)
I= √fe (x)
f(x0):8
f (x₁) =15
f (x₂)=8
Answer:
I 35.6047, error = 1.3434 %,
Exact: 35.1327
( X- Xo ) ( X-X2
Xi - Xo ) ( X, Xe
f(x₁) +...
[ Lagrange Method]
f (x₂)
where the integral of second-order
from
interpolating polynomial, evaluated
Хо то
X₂. X, is midway between Xo and te
f(xo)"
( x - Xo) ( x − X,)
(Xe - Xo) ( Xz - x)
integrate
f (x) = 8 + 5 sin(x)
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