A swimming pool is treated periodically to control harmful bacteria growth. The concentration of the bacteria per cm^3 after r days is given by (t)=30t^2-240t+500. In how many days after a treatment will the concentration be minimal
To find the day on which the concentration is minimal, we need to find the minimum point of the function. We can do this by finding the derivative of the function and setting it equal to zero.
f'(t) = 60t - 240
Setting this equal to zero, we get:
60t - 240 = 0
Solving for t, we get:
t = 4
Therefore, the concentration will be minimal after 4 days.