Suppose that the oxygen level P (for purity) in a body of water t months after an oil spill is given by 16 P(t) = 100 1 + (t + 4)2 (a) Find how long it will be before the oxygen level reaches its minimum. t + 4 t = months (b) Find how long it will be before the rate of change of P is maximized. That is, find the point of diminishing returns. t = months

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
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Suppose that the oxygen level P (for purity) in a body of water t months after an oil spill is given by
16
P(t) = 100 1
+
(t + 4)2
(a) Find how long it will be before the oxygen level reaches its minimum.
t + 4
t =
months
(b) Find how long it will be before the rate of change of P is maximized. That is, find the point of diminishing returns.
t =
months
Transcribed Image Text:Suppose that the oxygen level P (for purity) in a body of water t months after an oil spill is given by 16 P(t) = 100 1 + (t + 4)2 (a) Find how long it will be before the oxygen level reaches its minimum. t + 4 t = months (b) Find how long it will be before the rate of change of P is maximized. That is, find the point of diminishing returns. t = months
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