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Please help. Conceptual Problems 7 1. Use Lagrange multipliers to find the critical points of f(r, y, =) = x + 2y + 35, subject

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Conceptual Problems 7 1. Use Lagrange multipliers to find the critical points of f(r, y, =) = x + 2y + 35, subject to the constraint 12 + + 2 = 4. 2. Find the shortest distance from the plane 3.r + 2y + 2 = 4 to the origin using Lagrange multipliers. 3. Find dimensions of the rectangular box of maximal surface area with edges of length r, y, z if the lengths of the edges satisfy 2r + 3y + 42 = 24 cm

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