Prove by differential calculus for small changes of temperat

Prove by differential calculus, for small changes of temperature, dT, that: (a) dp = -beta p dT, where p is the density of a liquid. (b) dF = V_0p_0 g(3alpha - beta) dT, where F is the buoyant force on a body of volume V_0 and linear expansion coefficient alpha submerged in a liquid of initial density p_0 and volume coefficient of expansion beta.

Solution

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