Question: Draw the level curves for f(x, y) = x 2 + y 2 = c for c = 1, 2, 3, and 4, and sketch

Draw the level curves for f(x, y) = x² + y² = c for c = 1, 2, 3, and 4, and sketch the constraint x + y = 2. Explain analytically how you know that the extremum of f(x, y) = x² + y² at (1, 1) is a minimum instead of a maximum.

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