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Suppose that a spherical droplet of liquid evaporates at a race that is proportional to its surface area.

dV/dt = – kA

Where V = volume (mm^{3}), t = time (h), k = the evaporation rater (mm/hr), and A = surface area (mm^{2}). Use Euler’s method to compute the volume of the droplet from t = 0 to 10 min using a step size of 0.25 min. Assume that k = 0.1 mm/min and that the droplet initially has a radius of 3 mm. Assess the validity of your results by determining the radius of your final computed volume and verifying that it is consistent with the evaporation rate.

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