Mold grows on bread as an expanding circle, with the rate of growth proportional to the...

 

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Mold grows on bread as an expanding circle, with the rate of growth proportional to the circumference of the circle. In other words, if A is the area of the mold, and C is the circumference. A'= kC. Since the growth is circular. A 2 and C 2xr. allowing us to rewrite the equation as A' 2kA. or more simply as A' KA Suppose a particular mold was measured at t=0 to have an area of 5 mm, and after 4 days has grown to an area of 9 mm. Solve the differential equation to determine the area of the mold after 10 days. Round to 1 decimal place. mm 2 Mold grows on bread as an expanding circle, with the rate of growth proportional to the circumference of the circle. In other words, if A is the area of the mold, and C is the circumference. A'= kC. Since the growth is circular. A 2 and C 2xr. allowing us to rewrite the equation as A' 2kA. or more simply as A' KA Suppose a particular mold was measured at t=0 to have an area of 5 mm, and after 4 days has grown to an area of 9 mm. Solve the differential equation to determine the area of the mold after 10 days. Round to 1 decimal place. mm 2

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Given the differential equation A k sqrtA we will solve the equation using separation of variab... View the full answer