Please read carefully. The following must be done in Matlab. if you do not know

Question

Please read carefully.

The following must be done in Matlab.

if you do not know the code, do not answer

Problem 3: Consider a function f(x) = 25x3-6x2+7x-88. Using the Taylor series expansions of this functions from zero- through third-order, predict the value of f (x) with 3 using a base point of xo 1.0. For each such Taylor series approximation, list the following (i) Approximate value of f(3.0) (i) On what order of the step size 'h' is the truncation error? (ii) Compute the true percent relative error,e,, for each approximation.

Explanation / Answer

This quadratic function is in standard form, f(x)=ax2+bx+c.
For every quadratic function in standard form the axis of symmetry is given by the formula x=b2a.

In f(x)=2x28x+1, a=2, b=8, and c=1. So, the equation for the axis of symmetry is given by

x=(8)22

x=84

x=2

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