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.

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Description: sin(x)+ exp(-4x).f(x)(1)x + 4a) 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 youmust turn in the sourc

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.

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