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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.

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.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
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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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