Q1: Find an approximation "x, " to one of the zeroes of p(x) = x –X -1 using Newton-Raphson and synthetic division where xo =1 ( using four digit rounding). Q2: Suppose that the Taylor series for a...

Extracted text: Q1: Find an approximation "x, " to one of the zeroes of p(x) = x –X -1 using Newton-Raphson and synthetic division where xo =1 ( using four digit rounding). Q2: Suppose that the Taylor series for a function is 1 1 f(x) = x + 2 x' +÷x' + 3 1 -x' +..| 4 And g(x) =1- x? + x* – x° + ..... consider F(x) = f(x) – xg(x), find the multiplicity of the root x-0. Q3: The following table lists the values of f(x) = Vx accurate to the places given, xe[1.2,1.6] F(x;) 1.2 Xị 1.095 1.4 1.183 1.6 1.265 a) Use Nevill's method to approximate f(1.5). b) Find the actual error.