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12] [8 Marks, 4 marks for each part] Assume that f : 1R 3- R. and g : R :r R are both differentiable. Let

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12] [8 Marks, 4 marks for each part] Assume that f : 1R 3- R. and g : R :r R are both differentiable. Let MI) = g I: x] a) Amume that the tangent line to the graph of f through the point {113] is y = 3 + 5L1: 1) and the equation of the tangent line to the graph of h through {1, 4} it; given by z = d 2(3: 1:]. Find the equation 3 = my + tr of the tangent line to the graph of 9 through the point [3, *1}. h) Use L: {y} to estimate g[2.9)

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