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7. Consider the function of two variables f defined by z = f(x, y) = x2 + 2y2. Use the Lagrange multiplier method to find

7. Consider the function of two variables f defined by z = f(x, y) = x2 + 2y2. Use the Lagrange multiplier method to find the extremum value of z subject to the constraint g(x, y) = x + 2y = 6. [10] Page 2 of 3

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