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? x² +4 f(x) = 4x1≤x≤ 12 Find f'(x).

College Algebra
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ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.1: Quadratic Functions And Models
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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?
x² +4
f(x)=
1≤x≤ 12
4x
C
Find f'(x).
f'(x) =
Transcribed Image Text: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? x² +4 f(x)= 1≤x≤ 12 4x C Find f'(x). f'(x) =
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