The centroid c of a circular sector is provided by the equation: x=- angle so that x = r 2 2 Stop the process when the tol, by using the bisection method with starting points a=1 and b=2. = 0 |b₁-a₁| 2 In every step, calculate also the Estimated Relative Error ERE, X 2r sin 0 30 ≤0.002, where i is the number of iterations. x(i) NS = - Find the NS (i-1) XNS 2 x is the numerical solution at ith iteration. Use eight decimal points. Solve the problem NS by hand. where

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The centroid c of a circular sector is provided by the equation: x=
9
r
angle so that x = by using the bisection method with starting points a=1 and b=2.
2
Stop the process when the tol,
=
10₁-ails
2
In every step, calculate also the Estimated Relative Error ERE¡
p
X
2r sin 0
30
C
<0.002, where i is the number of iterations.
=
Find the
(i-1)
XXNS
NS
x is the numerical solution at ith iteration. Use eight decimal points. Solve the problem
by hand.
where
Transcribed Image Text:The centroid c of a circular sector is provided by the equation: x= 9 r angle so that x = by using the bisection method with starting points a=1 and b=2. 2 Stop the process when the tol, = 10₁-ails 2 In every step, calculate also the Estimated Relative Error ERE¡ p X 2r sin 0 30 C <0.002, where i is the number of iterations. = Find the (i-1) XXNS NS x is the numerical solution at ith iteration. Use eight decimal points. Solve the problem by hand. where
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