Question

Given are 3 points po = (0,0), P₁ = (1,0), P2 = (0, 1) equipped with the scalar values so = 1,81 = 2, 82 = 3. (a) Determine the interpolating function s(x, y) (i.e., write down the formula) for linear interpolation. (b) Compute the values of s(1/2, 0), s(0, 1/2), s(1/2,1/2), s(2/3, 2/3).

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