Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive. Maximize: f(x, y, z) = xyz Constraint: x + y +z -9 = 0
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- Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize f(x, y) = 2x + 2xy + yConstraint: 2x + y = 100Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.Maximize: f(x, y, z) = xyzConstraint: x + y + z - 6 = 0Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Minimize f(x, y) = √(x2 + y2) Constraint: 2x + 4y − 15 = 0