Exercise Solution 2.5

Let

• f₁(x₁, x₂) = exp(x₁ + x₂)
• f₂(x₁, x₂) = exp(x₁ – x₂)

Then

[s1]

and

[s2]

We seek

[s3]

such that

[2.48]

This is obtained as

[s4]

Our interpolated polynomial is

[s5]