(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 [7/2, 7] satisfying by taking po = 2.6 and p₁ = 2.8 as the initial approximations. n (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 3 4 5 6 7 Pn-2 Pn-1 (ii) According to your results in (i) and (ii), PN == = 1.13 Pn RE(PNPN-1) < 10-6 RE(PP-1)
(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 [7/2, 7] satisfying by taking po = 2.6 and p₁ = 2.8 as the initial approximations. n (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 3 4 5 6 7 Pn-2 Pn-1 (ii) According to your results in (i) and (ii), PN == = 1.13 Pn RE(PNPN-1) < 10-6 RE(PP-1)
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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![(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 [7/2, 7] satisfying
by taking po = 2.6 and p₁ = 2.8 as the initial approximations.
n
(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
3
4
5
6
7
Pn-2
Check
Pn-1
(ii) According to your results in (i) and (ii),
PN =
= 1.13
Pn
RE(PNPN-1) < 10-6
RE(PnPn-1)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffc7689b9-c4fe-4bee-b670-05d15f3915cb%2Fcca1f253-3893-4e92-836c-89f4265c1614%2Fhes63nq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(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 [7/2, 7] satisfying
by taking po = 2.6 and p₁ = 2.8 as the initial approximations.
n
(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
3
4
5
6
7
Pn-2
Check
Pn-1
(ii) According to your results in (i) and (ii),
PN =
= 1.13
Pn
RE(PNPN-1) < 10-6
RE(PnPn-1)
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