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Home » extproj_{\mathbfc} \mathbfv = \left( rac{\mathbfv \cdot \mathbfc}{\mathbfc \cdot \mathbfc} - DNSFLEX

extproj_{\mathbfc} \mathbfv = \left( rac{\mathbfv \cdot \mathbfc}{\mathbfc \cdot \mathbfc} - DNSFLEX

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 Correct: dV/dt = (dw/dt)(h×l) + (dh/dt)(w×l) + (dw/dt)(dh/dt)×l? No — chain rule gives:

📌 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 rate.

📌 Given complexity, assume the volume increase is due to width and height expansion at constant rates, and length constant. But need l.

📌 From initial conditions: at current time: V = 1,440, dw/dt = 2, dh/dt = 3, dl/dt = 4

📌 But we need dV/dt at this instant:

📌 dV/dt = l ( (

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