The centroid c of a circular sector is provided by the equation: x = angle so that x = =, by using the bisection method with starting points a=1 and b=2. Stop the process when the tol, = |b₁-a₁| 2 8 In every step, calculate also the Estimated Relative Error ERE, 2r sin 0 30 ≤0.002, where i is the number of iterations. = XNS (i-1) XNS Find the (i-1) XNS 2 where x is the numerical solution at ith iteration. Use eight decimal points. Solve the problem NS by hand.
The centroid c of a circular sector is provided by the equation: x = angle so that x = =, by using the bisection method with starting points a=1 and b=2. Stop the process when the tol, = |b₁-a₁| 2 8 In every step, calculate also the Estimated Relative Error ERE, 2r sin 0 30 ≤0.002, where i is the number of iterations. = XNS (i-1) XNS Find the (i-1) XNS 2 where x is the numerical solution at ith iteration. Use eight decimal points. Solve the problem NS by hand.
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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Transcribed Image Text:The centroid c of a circular sector is provided by the equation: x=-
2
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,
=
7
X
2r sin 0
30
|b₁-a₁|
2
≤0.002, where i is the number of iterations.
=
(i)
x
(i-1)
In every step, calculate also the Estimated Relative Error ERE,
x is the numerical solution at ith iteration. Use eight decimal points. Solve the problem
by hand.
Find the
-XNS
x(i-1)
NS
"
where
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