Under a certain condition the pressure p and volume v of, Mathematics

Under a certain condition the pressure p and volume v of

Under a certain condition the Pressure p and volume v of gas satisfy the equation p^5v^7 =1000. Suppose that at some moment the volume of the gas is 4liters; the pressure is 200units, and the pressure at the rate 5units per second. Find the rate at which the volume is changing.

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