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
Find the temperature at which water has its maximum density.
To find: The temperature at which water has maximum density.
The volume of 1 kg of water at a temperature between and is given by,
Consider the given function,
Obtain the first derivative of .
Set and obtain the critical number.
Use quadratic formula and solve for .
Therefore the critical numbers of the function are
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