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Unformatted text preview: Part II 3. [False-position ormula] Let [ , ] an interval and U a unction such that U ( ) U ( ) < 0. What is the equation o the straight line that passes through the points ( , U ( )) and ( , U ( ))? Find the intersection o that line with the u-axis. 4. [Square root o 2 by the bisection method] Find the positive zero o the unction U ( u ) = u 2 2 using MATLAB . Apply the bisection method starting rom the interval [0 , 3]. What is the approximate relative error in percent ater ten iterations? Compare with the true error. 5. [Square root o 2 by the alse position method] Repeat the previous exercise, but use the alse-position ormula instead o bisection to estimate the root. Which method is better in this case?...
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- Spring '08