Given the function f(x) = 4x3 sin(x) — 1, has a solution a in the interval (0.7, 0.8) given in radians. An iterative formula, of the form given below, is used to find a. xn+1 A + B sin(xn), = where A and B are constants. x1 = 0.75 a) Find out the values of A and B in terms of fractions. A = and B = b) Find the values of x2 and x3 correct to 4 decimal places. X2 = x3 =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 64E
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Given the function
f(x) = 4x3 sin(x) — 1,
has a solution a in the interval (0.7, 0.8) given in radians.
An iterative formula, of the form given below, is used to find a.
xn+1 A + B sin(xn),
=
where A and B are constants.
x1 = 0.75
a) Find out the values of A and B in terms of fractions.
A =
and B =
b) Find the values of x2 and x3 correct to 4 decimal places.
X2
=
x3
=
Transcribed Image Text:Given the function f(x) = 4x3 sin(x) — 1, has a solution a in the interval (0.7, 0.8) given in radians. An iterative formula, of the form given below, is used to find a. xn+1 A + B sin(xn), = where A and B are constants. x1 = 0.75 a) Find out the values of A and B in terms of fractions. A = and B = b) Find the values of x2 and x3 correct to 4 decimal places. X2 = x3 =
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