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4.34. Use the Lagrange multiplier method to nd the point of the line y = mx + b that is closest to (0,0). Fig. 4.8 Level sets in Problem 4.36. 4.36. Differentiable functions f and g in the rst quadrant have some level sets as shown in Figure 4.8. Determine from the gure: (a) The minimum of f on the curve g = 25. (b) The sign of the Lagrange multiplier A in (a). (c) The minimum of g on the curve f = 80. (d) The maximum of f on the curve g = 27. Does the equation V f = leg apply here