Solution: The plane 2 y+4 z=5 meets the cone z^2=4(\mathrmx^2+\mathrmy^2) in a curve. Use the method of Lagrange multipliers to find the point on this curve
Question: The plane \(2 \mathrm{y}+4 \mathrm{z}=5\) meets the cone \(z^{2}=4\left(\mathrm{x}^{2}+\mathrm{y}^{2}\right)\) in a curve. Use the method of Lagrange multipliers to find the point on this curve nearest to the origin.
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