Greene Norris

11/28/2023 · Senior High School

A marshy region used for agricultural drainage has become contaminated with a particular element. It has been determined that flushing the area with clean water will reduce the element for a while, but it will then begin to build up again. A biologist has found that the percent of the element in the soil \( x \) months after the flushing begins is given by the function below. When will the element be reduced to a minimum? What is the minimum percent? \( f(x)=\frac{x^{2}+16}{2 x}, 1 \leq x \leq 12 \) Find \( f^{\prime}(x) \). \( f^{\prime}(x)=\frac{1}{2}-\frac{8}{x^{2}} \) When will the element be reduced to a minimum? The element will be reduced to a minimum after 4 month(s). (Type an integer or a decimal.) What is the minimum percent of the element?