HW3_1: Find a root of f(x) = 4x* – 3x³ – 30, using a) Newton Raphson method with initial guess, X;= -2 and b) using secant method with initial guesses x, = 1.5 & x1 = 2 and a stopping condition of e, = 0.5% (2 sig fig accuracy). Present your work using the following templates, respectively, adding rows as needed). Show the calculations for the first two iterations. a) Newton Raphson i f(x) f'(x) ea (%) 1 -2 b) Secant Xi- X; f(xi-) f(x) ea (%) 1 1.5 2

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
Question
HW3_1: Find a root of f(x) = 4x* – 3x³ – 30, using a) Newton Raphson method with initial guess,
X;= -2 and b) using secant method with initial guesses x, = 1.5 & x1 = 2 and a stopping condition of e, =
0.5% (2 sig fig accuracy). Present your work using the following templates, respectively, adding rows as
needed). Show the calculations for the first two iterations.
a) Newton Raphson
i
f(x)
f'(x)
ea (%)
1
-2
b) Secant
Xi-
X;
f(xi-)
f(x)
ea (%)
1
1.5
2
Transcribed Image Text:HW3_1: Find a root of f(x) = 4x* – 3x³ – 30, using a) Newton Raphson method with initial guess, X;= -2 and b) using secant method with initial guesses x, = 1.5 & x1 = 2 and a stopping condition of e, = 0.5% (2 sig fig accuracy). Present your work using the following templates, respectively, adding rows as needed). Show the calculations for the first two iterations. a) Newton Raphson i f(x) f'(x) ea (%) 1 -2 b) Secant Xi- X; f(xi-) f(x) ea (%) 1 1.5 2
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