The volume of an ice cube as it melts is given by the equation: V = 2.1x10^-5 t^3 - 6.5x10^-4 t^2 - 0.346 t + 21.31

Question

Determine the rate at which the sides of the ice cube melt at both 10 and 75 minutes after the beginning of the melting process.

You may assume the the ice cube keeps its cubic shape throughout the melting process.

Answer 1

You have to define if the variable t is in minutes, hours, etc

find the derivative dV/dt
sub in the values of 10 if in minutes, 1.6 if in hours etc