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Let Q1, Q2, Q3 be constants so that (Q1, Q2) is the critical point of the...

Let Q1, Q2, Q3 be constants so that (Q1, Q2) is the critical point of the function f(x, y) = xy − 5x − 5y + 25, and Q3 = 1 if f 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| + 3|Q3|). Then T = 5 sin2 (100Q)

satisfies:— (A) 0 ≤ T < 1. — (B) 1 ≤ T < 2. — (C) 2 ≤ T < 3. — (D) 3 ≤ T < 4. — (E) 4 ≤ T ≤ 5

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Answer #1

Pl have a look at note as also about sine function. Do come back if anything else was intended.

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