(Secant Method). All numerical answers should be rounded to 7-digit floating-point numbers. Given a real number z, the symbol ž denotes the result of rounding of z to a 7-digit floating-point number. (i) Apply the Secant method to find an approximation PN of the solution of the equation x = sin(x) 1- cos x in [π/2, π] satisfying = 0.77 RE(PNPN-1) < 10-6 by taking po = 2.6 and p₁ = 2.8 as the initial approximations. (ii) Show your work by filling the following standard output table for the Secant method (if a particular row is not necessary, please type an asterisk * in each input field of that row):
(Secant Method). All numerical answers should be rounded to 7-digit floating-point numbers. Given a real number z, the symbol ž denotes the result of rounding of z to a 7-digit floating-point number. (i) Apply the Secant method to find an approximation PN of the solution of the equation x = sin(x) 1- cos x in [π/2, π] satisfying = 0.77 RE(PNPN-1) < 10-6 by taking po = 2.6 and p₁ = 2.8 as the initial approximations. (ii) Show your work by filling the following standard output table for the Secant method (if a particular row is not necessary, please type an asterisk * in each input field of that row):
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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Question
Numerical Analysis and Its
Applications
![iversitesi
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ek 0)
ek 1)
2)
(3)
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(Secant Method). All numerical answers should be rounded
to 7-digit floating-point numbers. Given a real number z, the
symbol z denotes the result of rounding of z to a 7-digit
floating-point number.
(i) Apply the Secant method to find an approximation PN of
the solution of the equation
in [π/2, π] satisfying
RE(PNPN-1) < 10-6
by taking po = 2.6 and p₁ = 2.8 as the initial
approximations.
n
X = sin(x)
1 - cos x
(ii) Show your work by filling the following standard output
table for the Secant method (if a particular row is not
necessary, please type an asterisk * in each input field of
that row):
2
Pn-2
= 0.77
Search
Pn-1
Pn
RE(PnPn-1)
DELL
AUS](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3361ca50-fe39-4902-8c9b-25c25195dd96%2F2c0e961e-806b-476f-8768-ac7e24af4c6b%2Ff4zkutk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:iversitesi
ew
F. DR. VLADI... >
ek 0)
ek 1)
2)
(3)
k 4)
<5)
5)
(Secant Method). All numerical answers should be rounded
to 7-digit floating-point numbers. Given a real number z, the
symbol z denotes the result of rounding of z to a 7-digit
floating-point number.
(i) Apply the Secant method to find an approximation PN of
the solution of the equation
in [π/2, π] satisfying
RE(PNPN-1) < 10-6
by taking po = 2.6 and p₁ = 2.8 as the initial
approximations.
n
X = sin(x)
1 - cos x
(ii) Show your work by filling the following standard output
table for the Secant method (if a particular row is not
necessary, please type an asterisk * in each input field of
that row):
2
Pn-2
= 0.77
Search
Pn-1
Pn
RE(PnPn-1)
DELL
AUS
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(ii) According to your results in (i) and (ii),
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