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Home » Let $ d(x) = x^4 + x^2 + 1 $. Note that - IX Labs

Let $ d(x) = x^4 + x^2 + 1 $. Note that - IX Labs

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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Then dV/dt = (dw/dt)(h)(l) + w(dh/dt)(l) = l [ (dw/dt)h + w(dh/dt) ]
But l unknown.
But V = w×h×l = 1,440 m³
And dV/dt = 1,440 × (dw/dt × (1/h) + w × (dh/dt)/h)? No.
Correct: dV/dt = (dw/dt)(h×l) + (dh/dt)(w×l) + (dw/dt)(dh/dt)×l? No —...
dV/dt = ∂V/∂w × dw/dt + ∂V/∂h × dh/dt + ∂V/∂l × dl/dt
But only dl/dt = 4 m/s, others unknown.
Assume the length l is constant, so ∂V/∂l independent, but missing rat...
Given complexity, assume the volume increase is due to width and heigh...
From initial conditions: at current time: V = 1,440, dw/dt = 2, dh/dt...

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