Question: Given a function of f(x) below, all its root is located between x=2 to x=2. f(x)=ln(x4)0.7 a) Use graphical method to estimate the number of
Given a function of f(x) below, all its root is located between x=2 to x=2. f(x)=ln(x4)0.7 a) Use graphical method to estimate the number of roots and their location. (CO2:PO2-5marks) b) Using 4 iterations of the Bisection method, find the positive root of the equation. Compute the approximation error. (CO2:PO2-10marks) c) Using 4 iterations of the False-position method, find the positive root of the equation. Compute the approximation error. (CO2:PO2-10marks) d) Using 4 iterations of the Newton-Raphson method, find the positive root of the equation. Employ the initial guess of x0=1.0. Compute the approximation error. (CO2:PO2-10marks) e) Based on the results of Q2(b,c,d), which method is the fastest. Justify your answer. (CO2:PO2-5marks)
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