Suppose that f (t) is continuous and twice-differentiable for t≥0. Further suppose f″ (t) ≥9 for all t≥0 and f (0) = f′ (0) = 0. Using the Racetrack Principle, what linear function g (t) can we prove is less than or equal to f′ (t) (for t≥0) ?
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Home » Mathematics » Suppose that f (t) is continuous and twice-differentiable for t≥0. Further suppose f″ (t) ≥9 for all t≥0 and f (0) = f′ (0) = 0. Using the Racetrack Principle, what linear function g (t) can we prove is less than or equal to f′ (t) (for t≥0) ?