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(30 points) Suppose that a spherical droplet of liquid evaporates at a rate that is proportional to its surface area. 2/3 dV dt 31 4T

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(30 points) Suppose that a spherical droplet of liquid evaporates at a rate that is proportional to its surface area. 2/3 dV dt 31 4T where V-volume (mm*3), t-time (min), k- the evaporation rate (mm/min), and A-surface area (mm*2). Write a function to use Euler's method to compute the final volume of the droplet from ti -0 to a given tf (min) using a step size of 0.25 min. Assume that k - 0.1 (mm/min) and that the droplet initially has an initial volume of Vi-113.0973 (mm*3) Here is the first line of the function function V-dropVol (dt, ti, tf, vi) *Please note that your function will have the time step size, initial time, final time (or the instant that you want to calculate the volume), and the initial volume of the droplet as inputs. The output of the function is the volume of the droplet at tf. find the volume values at the following instants: l(min), 5(min), 9(min), 10(min)

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