Solution: Interpolation

Solution

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

f(x₁, x₂) = .0989 exp(x₁ + x₂) + .2689 exp(x₁ + x₂)

[s5]


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