Answer
x. +dx=1.0+1=1.1
so using in given formula in part a
= 1.1^3 -1.1-(1^3-1)
=1.331-1.1-0
=0.231
now for df/dx
df/dx =3x-1
df=(3(1)-1)*dx
df=(2)*0.1
df=0.2
the approximation error =Idaltaf - dfI
=I0.231- 0.2I
=0.031
So, the approximation error is 0.031
Work Step by Step
a. 0.231
b.0.2
c.the approximate error = 0.031