Consider the regular subdivision of the interval [a, b] as a = x0 < x1 < x2 < x3 < x4 = b, with the step size h = x+1 – x1, and define the function f on [a, b] such that f (a) = f(b) = 1,f(x1) = 1.5, f(x2) = f(x3) = 2. Suppose that the length of the interval [a, b] is 3, then the approximation of I = f(x)dx using composite Simpson's rule with n= 4 is: 5/3
Consider the regular subdivision of the interval [a, b] as a = x0 < x1 < x2 < x3 < x4 = b, with the step size h = x+1 – x1, and define the function f on [a, b] such that f (a) = f(b) = 1,f(x1) = 1.5, f(x2) = f(x3) = 2. Suppose that the length of the interval [a, b] is 3, then the approximation of I = f(x)dx using composite Simpson's rule with n= 4 is: 5/3
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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Please solve this two exercis
![Consider the regular subdivision of the interval [a, b] as a = x0 < x1 < x2 < x3 < x4 =
b, with the step size h = xi+1– xị, and define the function f on [a, b] such that f(a) =
f(b) = 1, f(x1) = 1.5, f(x2) = f (x3) = 2. Suppose that the length of the interval [a, b] is
3, then the approximation of I = f(x)dx using composite Simpson's rule with n= 4 is:
O 5
5/3
O 10/3
5/2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcbf374f0-0bb7-482a-9a91-37f56e9aac46%2Fd786ce1d-b18e-416e-b7c1-d9df441d7491%2Fy07vuo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the regular subdivision of the interval [a, b] as a = x0 < x1 < x2 < x3 < x4 =
b, with the step size h = xi+1– xị, and define the function f on [a, b] such that f(a) =
f(b) = 1, f(x1) = 1.5, f(x2) = f (x3) = 2. Suppose that the length of the interval [a, b] is
3, then the approximation of I = f(x)dx using composite Simpson's rule with n= 4 is:
O 5
5/3
O 10/3
5/2
![*
= f(2/5) =
= 2, f(1/5)
Sif(x)dx by
Consider the function f defined on [0, 1] such that f(0) =
1, f(1)
3, and f () = c and f(4/5) = 1. Suppose that the approximation of I =
composite Trapezoidal rule with 5 subintervals is 1.8, then the value of c is:
4
-0.5
O 0.5](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcbf374f0-0bb7-482a-9a91-37f56e9aac46%2Fd786ce1d-b18e-416e-b7c1-d9df441d7491%2Fhw2cg89_processed.jpeg&w=3840&q=75)
Transcribed Image Text:*
= f(2/5) =
= 2, f(1/5)
Sif(x)dx by
Consider the function f defined on [0, 1] such that f(0) =
1, f(1)
3, and f () = c and f(4/5) = 1. Suppose that the approximation of I =
composite Trapezoidal rule with 5 subintervals is 1.8, then the value of c is:
4
-0.5
O 0.5
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