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Math  /  Calculus

QuestionLet f:R2→R,(x,y)↦x2−y2f: \mathbb{R}^{2} \rightarrow \mathbb{R},(x, y) \mapsto x^{2}-y^{2}, and let SS be the circle of radius 1 around the orig Find the extrema of f∣Sf \mid S.

Studdy Solution
The maximum value of ff on the unit circle is **1** at points (1,0)(1, 0) and (−1,0)(-1, 0).
The minimum value is **-1** at points (0,1)(0, 1) and (0,−1)(0, -1).

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