Homework Help: math

Posted by stephen on Saturday, January 1, 2011 at 6:20pm.

Bacteria are growing in a circular colony one bacterium thick. the bacteria are growing at a constant rate, making the area of the colony increase at a rate of 12mm^2 per hour. How fast is the radius changing when the radius is 3mm?

math - Damon, Saturday, January 1, 2011 at 6:30pm
A = pi r^2
dA/dt = pi (2r) dr/dt
12 = pi (2*3) dr/dt
dr/dt = 2/pi mm/hr

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