6. Suppose f(x, y) is differentiable. x(s, t) = 4s + 3t + 2st + 3 and y(s, t) = 7s + 3t2 + 2. We are given the value of the function f(x, y) and it's partials at (0,0) and (3, 2) in the table below. Let g(s, t) = f(x(s,t), y(s, t)). f f« | fy (0,0) (3, 2) 3 5 5 -4 3 2 (i) Compute the missing values (a and b) in the table below using the x(s, t) and y(s, t). (s,t) || x || x, *: (0,0) 3 4 3 270 (3, 2) 33 y Y. Yt b 35 7 12 a (ii) Find g.(0,0). (iii) Find 9(0,0).

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