6. Suppose f(x, y) is differentiable. 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)). (i) n x(s, t) = 5s + 2t +2st+3 and y(s, t) = 4s + 3t² +2. (iii) (². is) Find 9.(0,0). (0,0) (3,2) it) Compute the missing values (a and b) in the table below using the r(s, t) and y(s, t). (s,t) x Is It Y Ya Yt (0,0) 3 5 2 2 40 (3,2) 34 a b 26 4 12 H) Find 9+ (0,0). f fe fy 3 5 5 -4 3 2

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