Let f(x) =e-3z _ 2x + 5. Then f(1)= (*write only the integer part ) f(4)= |(*write only the integer part ) Since by theorem ƒ has a in the interval Consider the above function and the interval (given and found in question 1) (a) Apply bisection method with 3 steps to find an initial approximation for the root r. (b) Apply Newton method with 2 steps to find an approximate root r of f(x) (C) Find a convergent fixed point iteration and apply this iteration with 2 steps to find an approximate root r of f(x) In each case, indicate which one is the approximate root.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Fill in the blanks.
Let f(x) =e-3x _ 2x + 5. Then
f(1)=
(*write only the integer part )
f(4) =
(*write only the integer part )
Since
by
theorem f has a
in the interval
Consider the above function and the interval (given and found in question 1)
(a) Apply bisection method with 3 steps to find an initial approximation for the root r.
(b) Apply Newton method with 2 steps to find an approximate root r of f(x)
(C) Find a convergent fixed point iteration and apply this iteration with 2 steps to find an approximate root r of f(x)
In each case, indicate which one is the approximate root.
Transcribed Image Text:Fill in the blanks. Let f(x) =e-3x _ 2x + 5. Then f(1)= (*write only the integer part ) f(4) = (*write only the integer part ) Since by theorem f has a in the interval Consider the above function and the interval (given and found in question 1) (a) Apply bisection method with 3 steps to find an initial approximation for the root r. (b) Apply Newton method with 2 steps to find an approximate root r of f(x) (C) Find a convergent fixed point iteration and apply this iteration with 2 steps to find an approximate root r of f(x) In each case, indicate which one is the approximate root.
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