# Exercise Solution 2.5

Let

*f*_{1}(*x*_{1},*x*_{2}) =*exp*(*x*_{1}+*x*_{2})*f*_{2}(*x*_{1},*x*_{2}) =*exp*(*x*_{1}–*x*_{2})

Then

[s1]

and

[s2]

We seek

[s3]

such that

[2.48]

This is obtained as

[s4]

Our interpolated polynomial is

[s5]

Let

*f*_{1}(*x*_{1},*x*_{2}) =*exp*(*x*_{1}+*x*_{2})*f*_{2}(*x*_{1},*x*_{2}) =*exp*(*x*_{1}–*x*_{2})

Then

[s1]

and

[s2]

We seek

[s3]

such that

[2.48]

This is obtained as

[s4]

Our interpolated polynomial is

[s5]