If f(x)=5x+1 has the midpoint x =0.6 for the interval [0,1.6]. Find the area of the rectangle at x by considering the Midpoint rule formula. 6.0 4.0 O 2.4 O 5.5 Trapezoidal Rule Simpson's Rule 2Ax Figure 1 Figure 1 shows the difference between Trapezoidal and Simpson's rule. In numerical analysis, it is said that the Simpson's rule has better accuracy compared to Trapezoidal rule. Choose the CORRECT reasons how Trapezoidal rule can increase the accuracy to compete with the Simpson's rule. I Use the higher order of polynomials in the approximation formula. II Increase the size of step length. III Split the domain of the integration into the greater number of intervals. IV Reduce the order of the polynomials in the approximation formula. Il and III I and III I and II III and IV
If f(x)=5x+1 has the midpoint x =0.6 for the interval [0,1.6]. Find the area of the rectangle at x by considering the Midpoint rule formula. 6.0 4.0 O 2.4 O 5.5 Trapezoidal Rule Simpson's Rule 2Ax Figure 1 Figure 1 shows the difference between Trapezoidal and Simpson's rule. In numerical analysis, it is said that the Simpson's rule has better accuracy compared to Trapezoidal rule. Choose the CORRECT reasons how Trapezoidal rule can increase the accuracy to compete with the Simpson's rule. I Use the higher order of polynomials in the approximation formula. II Increase the size of step length. III Split the domain of the integration into the greater number of intervals. IV Reduce the order of the polynomials in the approximation formula. Il and III I and III I and II III and IV
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 math 15 & 16 please answer it quickly (in 30 minutes)
![If f(x)=5x+1 has the midpoint x, =0.6 for the interval [0,1.6]. Find the area
of the rectangle at x by considering the Midpoint rule formula.
6.0
4.0
2.4
O 5.5
Trapezoidal
Rule
Simpson's
Rule
2Ax
Figure 1
Figure 1 shows the difference between Trapezoidal and Simpson's rule. In
numerical analysis, it is said that the Simpson's rule has better accuracy compared
to Trapezoidal rule. Choose the CORRECT reasons how Trapezoidal rule can
increase the accuracy to compete with the Simpson's rule.
Use the higher order of polynomials in the approximation formula.
Increase the size of step length.
Split the domain of the integration into the greater number of intervals.
Reduce the order of the polynomials in the approximation formula.
I
II
III
IV
O Il and III
I and II
I and II
III and IV](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6dab7f75-f178-4d77-b60d-d85625256df5%2F1ec50e0c-632e-4552-82a9-6e68e37cb549%2Fvpw1zlb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:If f(x)=5x+1 has the midpoint x, =0.6 for the interval [0,1.6]. Find the area
of the rectangle at x by considering the Midpoint rule formula.
6.0
4.0
2.4
O 5.5
Trapezoidal
Rule
Simpson's
Rule
2Ax
Figure 1
Figure 1 shows the difference between Trapezoidal and Simpson's rule. In
numerical analysis, it is said that the Simpson's rule has better accuracy compared
to Trapezoidal rule. Choose the CORRECT reasons how Trapezoidal rule can
increase the accuracy to compete with the Simpson's rule.
Use the higher order of polynomials in the approximation formula.
Increase the size of step length.
Split the domain of the integration into the greater number of intervals.
Reduce the order of the polynomials in the approximation formula.
I
II
III
IV
O Il and III
I and II
I and II
III and IV
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