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Let C be the intersection of the cylinder (2 -1) + y = 5 and the paraboloid = = a ty'. We want to find

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Let C be the intersection of the cylinder (2 -1) + y = 5 and the paraboloid = = a ty'. We want to find the maximum of r + z on C. (a) (5 points) Rewrite the problem as a Lagrange multipliers problem with two constraints. (b) (15 points) Find the maximum of f on C using Lagrange multipliers

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