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Home » #### a = 1, b = -1, c = -6 - Parker Core Knowledge

#### a = 1, b = -1, c = -6 - Parker Core Knowledge

📅 May 2, 2026 👤 scraface

May 02, 2026

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But as \(x \to 0^+\), \(f(x) \to \infty\), so no maximum.
Thus, the function has **no maximum value** on the open interval.
But the problem likely expects a finite maximum — perhaps constraint m...
Wait — re-express:
Let \(t = \sin x \cos x = \frac{1}{2} \sin 2x\), so for \(x \in (0, \f...
f(x) = \frac{1}{t^2} + \frac{2}{t} = \frac{1 + 2t}{t^2}
Let \(h(t) = \frac{1 + 2t}{t^2}\), \(t \in (0, \frac{1}{2}]\)
As \(t \to 0^+\), \(h(t) \to \infty\), and \(h'(t) = \frac{2t^2 - (1 +...
Maximum value is approached as \(t \to 0^+\), i.e., as \(x \to 0^+\) o...
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