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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?

Verified Answer :

sakethmalyala

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

shubhamchouhanvrVT

The rate of change of A is dA/dt = -3/4.

What is the rate of change?

The rate of change is defined as the variation of any data with respect to others.

The rate of change of A with respect to t is calculated as follows:-

3A² dA/dt + 3B² dB/dt = 0

If A=2, then 8+B³=9, B=1

12 dA/dt + 9 = 0

dA/dt = -3/4

Hence, the rate of change of A is dA/dt = -3/4.

To know more about the rate of change follow

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