A region used for agricultural drainage has become contaminated with a mineral. Flushing the region with water will reduce the amount of the mineral for a while, but it will then begin to build up again. The model of the percent of the mineral present in the soil t months after the flushing begins is given by t² + 49 2t (a) What value(s) of t should be used to test for the minimum amount of mineral? M(t) t - After -, 1 ≤ t ≤ 12. Separate your answers with a comma. (b) When will the amount of the mineral be reduced to a minimum? % months (c) What is the minimum percent of the mineral?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A region used for agricultural drainage has become contaminated with a mineral. Flushing the region with
water will reduce the amount of the mineral for a while, but it will then begin to build up again. The
model of the percent of the mineral present in the soil t months after the flushing begins is given by
t² + 49
2t
(a) What value(s) of t should be used to test for the minimum amount of mineral?
Separate your answers with a comma.
M(t)
t
-
After
"
(b) When will the amount of the mineral be reduced to a minimum?
1 ≤ t ≤ 12.
%
months
(c) What is the minimum percent of the mineral?
Transcribed Image Text:A region used for agricultural drainage has become contaminated with a mineral. Flushing the region with water will reduce the amount of the mineral for a while, but it will then begin to build up again. The model of the percent of the mineral present in the soil t months after the flushing begins is given by t² + 49 2t (a) What value(s) of t should be used to test for the minimum amount of mineral? Separate your answers with a comma. M(t) t - After " (b) When will the amount of the mineral be reduced to a minimum? 1 ≤ t ≤ 12. % months (c) What is the minimum percent of the mineral?
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