Between 0°C and 30°C, the volume V ( in cubic centimeters) of 1 kg of water at a temperature T is given approximately by the formula: V = 999.87 − 0.06426T + 0.0085043T² − 0.0000679T³ Find the temperature at which water has its maximum density.

Step-by-step explanation:

The density of water is given by the following definition:

The density is maximum when volume is minimum, which can be found by First and Second Derivative Tests:

First Derivative

Second Derivative

Critical values from the first derivative are:

(absolute maximum) and (absolute minimum).

The temperature at which water has its maximum density is:

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step-by-step explanation:

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