(Solution) - For the function U 3x2 6y2 a Locate the -(2025 Original AI-Free Solution)

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For the function U = 3x2 + 6y2,
(a) Locate the minimum by inspection;
(b) Start at the point x = 9, y = 9 and apply the conjugate-gradient method to locate the minimum. Do the calculations by hand. Recall that the equation of the straight line that passes through point x1, y1 with slope m is m = (y - y1)/(x - x1).