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SECTION 8-3. Maxima and Minima 1. Find fz(x, y) and f(x, y) for f(x, y) = 10 - 2x - 3y + 2² and explain, using Theorem 1 on page 468, why f(x, y) has no local extrema. 2. Use Theorem 2 on page 469 to find local extrema of f(x, y) = 3x² - y² + 6y.