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3. The following table is the table of values of a mystery function f(x, y). 6 7 5 2 0 0.69 1.34 1.82 2.2 2.5
3. The following table is the table of values of a mystery function f(x, y). 6 7 5 2 0 0.69 1.34 1.82 2.2 2.5 2.75 2.97 .69 -0.18 0.18 0.69 1.16 1.55 1.87 2 2.51 2.23 1.97 1.71 1.46 1.25 1.1 1.04 3 3.87 3.76 3.65 .55 3.49 3.37 3.28 3.19 4 4.86 4.8 4.75 4.7 4.65 4.61 4.56 4.52 5 5.64 5.6 5.57 5.54 5.52 5.49 5.46 5.43 6 6.27 6.25 6.23 6.21 6.19 6.18 6.16 6.14 (i) [5p] Approximate the value of f(3.2, 2.2), using the tangent plane of z = f(x, y) at (3, 2). (ii) [5p] Approximate the value of f(3.2, 5.2), using the tangent plane of z = f(x, y) at (3, 5)
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