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Home » Calculate the derivative of \( g(x) = 5x^3 - 3x^2 + - DNSFLEX

Calculate the derivative of \( g(x) = 5x^3 - 3x^2 + - DNSFLEX

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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#### 132.29
A startup’s revenue grows according to the function R(t) = 5000(1.12)^...
Set 5000 × (1.12)^t > 20,000 → (1.12)^t > 4
Take log: t × log(1.12) > log(4) → t > log(4)/log(1.12) ≈ 0.60206 / 0....
Since t must be integer, t = 13 months
A student builds a drone that ascends vertically at 4 m/s while expand...
Volume flow rate: dV/dt = area × velocity in depth × rate of expansion...
Let width = w, height = h, length = l. Given: dl/dt = 4 m/s, dh/dt = 3...
Volume = w × h × l = 1,440 m³ (current state)
But we need rate: dV/dt = (dw/dt)(h)(l) + w(dh/dt)(l) + w×h(dl/dt)

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