Potw11
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This problem seeks to find the minimum value of the expression x^2 + y^2 / x - y, where x and y are real positive numbers such that xy = 3. To solve this, we set up the expression, take the partial derivatives with respect to x and y, and set them equal to zero to find the critical points, then determine which critical point produces the minimum value.
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Potw11
- 1. POTW #11 By: Marc Poirier 5/7 – 5/11
- 2. The Problem • Find the smallest possible value of x^2+ y^2 x-y for all real numbers x and y satisfying x>y>0 and xy=3.