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categoryرياضيات schoolبكالوريوس event_available2026-07-15

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11. Let Q1, Q2, Q3 be constants so that (Q1, Q2) is the critical point of the function f(x, y) = (175)x² + (−150)xy + (175) y² + (-200)x+(400)y + (230), and Q3 = 1 if ƒ has a local minimum at (Q1, Q2), Q3 = 2 if f has a local maximum at (Q1, Q2), Q3 = 3 if f has a saddle point at (Q1, Q2), and Q3 = 4 otherwise. Let Q = ln(3+|Q1 + 2 Q2 + 3Q3|). Then T5 sin² (100Q) satisfies:- (A) 0 <T<1. (B) 1<T<2. (D) 3<T<4. (E) 4 <T≤ 5. (C) 2<T<3.

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