Use the method of Lagrange multiplier to find the area of the intersecting surface of $x^2- y^2 + 4z^2 = 1$ and $x + y + z = 0$. (Hint: the area of an ellipse equals to $\pi ab$, where $a$ and $b$ are the semi-axes of the ellipse.)
2026-03-29 08:14:53.1774772093
Lagrange multipliers for finding area
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