5. Graphically, or otherwise estimate the number of and values of the root to the functiongiven below, between -10 and +10.4xf (x) = 8 cos³ x5-Calculate a root to 4 decimal places using:(a) the Bisector method (use 6 and 9 as initial values)(b) the false position method (use 6 and 9 as initial values)(c)the Secant method (use 6 and 9 as initial values)(d)the Newton-Raphson method (use 5 as initial value)Calculate any others roots.Comment on the results and the accuracy of the various approaches and the impact of theinitial values (e.g. what would have happened with other initial values?). Show your workingand tabulate values at each iteration, and plot a convergence history of each on the samegraph. It is suggested you use EXCEL.Perform no more than 15 iterations of each method. Comment on the performance of each method.

Given function is f(x)=8cos3x-4x5-9, -10≤x≤10 Table for different values of x x -10 -9 -8 -7 -6…

Answered: 5. Graphically, or otherwise estimate…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.6: Exponential And Logarithmic Equations

Problem 64E

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5. Graphically, or otherwise estimate the number of and values of the root to the function given below, between -10 and +10. 4x f(x) = 8 cos³ x 9. - - - 5 Calculate a root to 4 decimal places using: (a) the Bisector method (use 6 and 9 as initial values)