Consider the function x_{1}, x_{2}, x_{3}, x_{4}, x_{5}, x_{6}, x_{7} . x_{1} co

Question

Consider the function x_{1}, x_{2}, x_{3}, x_{4}, x_{5}, x_{6}, x_{7} . x_{1} corresponding to a row of the table that is of the form 7 table of numbers, with each number in the decimal format produced by your calculator of computer and with each of your starting reals 8 X f. Submit your results as a x_{1}, x_{2}, x_{3}, x_{4}, x_{5}, x_{6}, x_{7} of possibly improving estimates of a root of f to produce the resulting list x_{1} equal to that real and then apply Newton's for 2,4,5,6,7,9,11,13, start with f(x) = 10(x-1)(x-7)(x-13)(x-18)-1. For each of the reals

Explanation / Answer

F[X]= 10(X-1)(X-7)(X-13)(X-18)-1 F'[X]= 10(X-7)(X-13)(X-18)+ 10(X-1)(X-13)(X-18)+ 10(X-1)(X-7)(X-18)+ 10(X-1)(X-7)(X-13) X[N+1]=X[N] - [F{X(N)}]/[F'{X(N)}] THE REQUIRED TABULATION IS GVEN BELOW

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