Find the root of the equation f(x) = ex − 3 using the methods in (a), (b), and (c). For all methods, use a percent relative approximate error tolerance of 10%. Carry out your iterations using 5 decimal digits Find the root of the equation f(x) = e* – 3 using the methods in (a), (b) and (c).For all methods, use a percent relative approximate error tolerance of 10%. Carry outyour iterations using 5 decimal digits (hand calculation).(a)In the interval [0, 2] using Bisection method (tabulate your solution asshown below please)ite ration #f(x)X,f(x,)error(b)|In the interval [0, 2] using Regula-falsi (false position) method (tabulateyour solution as shown below please)iteration #f(x))f(x„)f(x,)|errorm (%)XuX,(c)Newton-Raphson method (use initial guess of x, = 0)iteration #f(x;)f(x;)Xi+1error (%)(d)Compare the results in (a), (b) and (c) in terms of speed of convergence.

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Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

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Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 93E

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Question

Find the root of the equation f(x) = e^x − 3 using the methods in (a), (b), and (c). For all methods, use a percent relative approximate error tolerance of 10%. Carry out your iterations using 5 decimal digits

Find the root of the equation f(x) = e* – 3 using the methods in (a), (b) and (c).
For all methods, use a percent relative approximate error tolerance of 10%. Carry out
your iterations using 5 decimal digits (hand calculation).
(a)
In the interval [0, 2] using Bisection method (tabulate your solution as
shown below please)
ite ration #
f(x)
X,
f(x,)
error
(b)
|In the interval [0, 2] using Regula-falsi (false position) method (tabulate
your solution as shown below please)
iteration #
f(x))
f(x„)
f(x,)
|errorm (%)
Xu
X,
(c)
Newton-Raphson method (use initial guess of x, = 0)
iteration #
f(x;)
f(x;)
Xi+1
error (%)
(d)
Compare the results in (a), (b) and (c) in terms of speed of convergence.

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