A spherical tank to hold water is designed (See the figure). Where h=depth of water in tank (m). Find the h value. The function is f(h)=0. f (h) = -1.047198h3 + 9.424778h2 - 30 = 0 Compute h for the first iteration and the true percent relative error |Et|. Carry six significant figures during computation. The true value of the root is h=2.0269059 (25p)-a) Use the false-position method and the initial guesses of hu-2.2 and h=1.8

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A spherical tank to hold water is designed (See the figure).
Where h=depth of water in tank (m). Find the h value.
The function is f(h)=0.
f (h) = -1.047198h3 + 9.424778h2 – 30 = 0
%3D
Compute h for the first iteration and the true percent relative error &t.
Carry six significant figures during computation.
The true value of the root is h=2.0269059
(25p)-a) Use the false-position method and the initial guesses of hu=2.2 and h=1.8
%3D
(25p)-b) Use the Newton-Raphson Method and an initial guess of h=1.9
(25p)-c) Use the inverse quadratic interpolation and the initial guesses of hi-2=1.8, hj.1=1.9 and h=2.2
(25p)-d) Use the Müller's Method and the initial guesses of ho=1.8, h1=1.9 and h=2.2
lemek için tıklayın
=Notlar
品
11:20
CEN2236MidtermE..
CEN2236content 5..
16.04.20
EXCALIEUR
//////
EGO
Transcribed Image Text:A spherical tank to hold water is designed (See the figure). Where h=depth of water in tank (m). Find the h value. The function is f(h)=0. f (h) = -1.047198h3 + 9.424778h2 – 30 = 0 %3D Compute h for the first iteration and the true percent relative error &t. Carry six significant figures during computation. The true value of the root is h=2.0269059 (25p)-a) Use the false-position method and the initial guesses of hu=2.2 and h=1.8 %3D (25p)-b) Use the Newton-Raphson Method and an initial guess of h=1.9 (25p)-c) Use the inverse quadratic interpolation and the initial guesses of hi-2=1.8, hj.1=1.9 and h=2.2 (25p)-d) Use the Müller's Method and the initial guesses of ho=1.8, h1=1.9 and h=2.2 lemek için tıklayın =Notlar 品 11:20 CEN2236MidtermE.. CEN2236content 5.. 16.04.20 EXCALIEUR ////// EGO
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