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categoryالرياضيات
schoolبكالوريوس
event_available2026-07-15
السؤال
Transcribed Image Text:
An estimated error of the multiple-application trapezoidal rule is:
Ea
=
(b - a)³
12n2
-f"
where f" is the average value of the second derivative of the function over the entire interval and
is computed using the following equation.
b
S₂ f" (x)dx
f"
b-a
2. Consider the function f(x) = 0.2 + 25x-200x² + 675x³- 900x4 + 400x5. Use the
MATLAB script “Trapm_main.m" (which uses Trapm function realized in step 1), to
estimate the value of the integral of the function f(x) over the interval (0, 0.8) with n = 2
segments. The value of n can be modified in the script "Trapm_main.m”. You are
required to fill the following table.
how to find Ea using MATLAB???
b = 0.8
n
h
In
Et
Ea
a = 0
2
0.4
1.0688
34.85%
???
n = 2
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