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12 August, 06:13

Two variable quantities A and B are found to be related by the equation A^3 + B^3 = 9. What is the rate of change dA/dt at the moment when A=2 and dB/dt = 3?

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  1. 12 August, 07:28
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    3A^2 dA/dt + 3B^2 dB/dt = 0

    If A=2, then 8+B^3=9, B=1

    12 dA/dt + 9 = 0

    dA/dt = - 3/4
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