sin(x) + exp(-4x). f (x) = (1) x + 4 a) Use the Trapezoidal rule to integrate Equation 1 over the interval [0, 27]. Obtain at least 3 digits of accuracy and provide justifica- tion for your answer. You may use your computer tool, but you must turn in the source code, as well as your solution. b) Trapezoidal rule works by integrating a number of smaller panels and summing the result. The panel integration is performed using fi+ fi+1. Modify your tool to perform a "new" trapezoidal-like integration, but using weights 0.6,0.4. Integrate using the new method over the interval [0, 27] using the same x values you used for your most accurate answer above.
sin(x) + exp(-4x). f (x) = (1) x + 4 a) Use the Trapezoidal rule to integrate Equation 1 over the interval [0, 27]. Obtain at least 3 digits of accuracy and provide justifica- tion for your answer. You may use your computer tool, but you must turn in the source code, as well as your solution. b) Trapezoidal rule works by integrating a number of smaller panels and summing the result. The panel integration is performed using fi+ fi+1. Modify your tool to perform a "new" trapezoidal-like integration, but using weights 0.6,0.4. Integrate using the new method over the interval [0, 27] using the same x values you used for your most accurate answer above.
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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Topic Video
Question
![sin(x)+ exp(-4x).
f(x)
(1)
x + 4
a) Use the Trapezoidal rule to integrate Equation 1 over the interval
[0, 27]. Obtain at least 3 digits of accuracy and provide justifica-
tion for your answer. You may use your computer tool, but you
must turn in the source code, as well as your solution.
b) Trapezoidal rule works by integrating a number of smaller panels
and summing the result. The panel integration is performed using
fi+ fi+1. Modify your tool to perform a "new" trapezoidal-like
integration, but using weights 0.6, 0.4. Integrate using the new
method over the interval [0, 27] using the same x values you used
for your most accurate answer above.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff966c414-4cbd-409b-9db4-c8010e535c33%2Fd96a8b67-f263-4043-b16c-968a1f777a03%2Fbcm8wun_processed.png&w=3840&q=75)
Transcribed Image Text:sin(x)+ exp(-4x).
f(x)
(1)
x + 4
a) Use the Trapezoidal rule to integrate Equation 1 over the interval
[0, 27]. Obtain at least 3 digits of accuracy and provide justifica-
tion for your answer. You may use your computer tool, but you
must turn in the source code, as well as your solution.
b) Trapezoidal rule works by integrating a number of smaller panels
and summing the result. The panel integration is performed using
fi+ fi+1. Modify your tool to perform a "new" trapezoidal-like
integration, but using weights 0.6, 0.4. Integrate using the new
method over the interval [0, 27] using the same x values you used
for your most accurate answer above.
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