Recall that a differential equation is an equation that involves a function and one or more of its derivatives. Now consider a spherical chunk of ice that melts in such a way that its rate of volume change is decreasing in proportion to the exposed surface area. (2 points each)
a. set up a differential equation relating the rate of volume change and surface area.
b. use the formulas for volume and surface area to determine the differential equation in terms of the radius.
c. find the volume of the ice, as a function of time, t, if the initial radius of the block is 0.5m.
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