Bacteria Spreading Problem: Bacteria are growing in a circular colony one
Chapter 4, Problem 1(choose chapter or problem)
Bacteria Spreading Problem: Bacteria are growing in a circular colony one bacteriumthick. The bacteria are growing at a constantrate, thus making the area of the colonyincrease at a constant rate of 12 mm2/h. Findan equation expressing the rate of change ofthe radius as a function of the radius, r, inmillimeters, of the colony. Plot dr/dt as afunction of r. How fast is r changing when it equals 3 mm? Describe the way dr/dt changeswith the radius of the circle.
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