= 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
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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
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)
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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