= trapezoidal rule to approximate the integral
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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Transcribed Image Text:Apply the trapezoidal rule to approximate the integralA = Cf (x) dx for the given function f (x)
shown in the plot.
3
160
140
120
100
80
y = f(x)-
60
40
20
A,
A, A,
a=X
If AT is the approximation and A is the exact value, which of the following relations is TRUE?
O None of these
O AT > A
O Ar < A
D Ar = A
![Consider the interpolation of the function f (x) :
in the interval between = -1 and a = 1.
%3D
1+25z2
Which of the following distribution of nodes would you recommend to ensure convergence in your
interpolation scheme?
O Randomly spaced Nodes in [-1, 1]
O Chebyshev Nodes (Type )
O Equispaced Nodes
O Chebyshev Nodes (Type II)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbb24bf36-d52d-4baa-86c5-5fe100e5873b%2Fa7a00a1b-b0f5-4426-9fbe-9e6fef19d085%2Fmuiinr_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the interpolation of the function f (x) :
in the interval between = -1 and a = 1.
%3D
1+25z2
Which of the following distribution of nodes would you recommend to ensure convergence in your
interpolation scheme?
O Randomly spaced Nodes in [-1, 1]
O Chebyshev Nodes (Type )
O Equispaced Nodes
O Chebyshev Nodes (Type II)
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