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 m
oment when A=2 and dB/dt = 3?
1 answer:
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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