(Secant Method). All numerical answers should be rounded to 7-digit floating-point numbers. Given a real number z, the symbol denotes the result of rounding of z to a 7-digit floating-point number. (i) Apply the Secant method to find an approximation py of the solution of the equation in [π/2,] satisfying x - sin(x) 1- cos x = 1.13 RE(PN PN-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): n Pn-2 2 3 4 5 6 7 Pn-1 (ii) According to your results in (i) and (ii). PN Check Previous Activity Jump to... Next Activity Pn RE(-1)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.3: Quadratic Equations
Problem 81E
Question
(Secant Method). All numerical answers should be rounded to 7-digit floating-point numbers. Given a real number z, the symbol denotes the
result of rounding of z to a 7-digit floating-point number.
(i) Apply the Secant method to find an approximation py of the solution of the equation
in [π/2,] satisfying
x - sin(x)
1- cos x
= 1.13
RE(PN PN-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):
n
Pn-2
2
3
4
5
6
7
Pn-1
(ii) According to your results in (i) and (ii).
PN
Check
Previous Activity
Jump to...
Next Activity
Pn
RE(-1)
Transcribed Image Text:(Secant Method). All numerical answers should be rounded to 7-digit floating-point numbers. Given a real number z, the symbol denotes the result of rounding of z to a 7-digit floating-point number. (i) Apply the Secant method to find an approximation py of the solution of the equation in [π/2,] satisfying x - sin(x) 1- cos x = 1.13 RE(PN PN-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): n Pn-2 2 3 4 5 6 7 Pn-1 (ii) According to your results in (i) and (ii). PN Check Previous Activity Jump to... Next Activity Pn RE(-1)
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