Let f (t) measure the level of oxygen in a pond, where f (t) = 1 is the normal(unpolluted) level and the time t is measured in weeks. When t = 0, organic waste isdumped into the pond, and as the waste material oxidizes, the level of oxygen in thepond is f(t)=\frac{t^{2}-t+1}{t^{2}+1} What percent of the normal level of oxygen exists in the pond after 1 week? After2 weeks? After 10 weeks? What is the limit as t approaches infinity?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
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Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 3SE: How are the absolute maximum and minimum similar to and different from the local extrema?
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Let f (t) measure the level of oxygen in a pond, where f (t) = 1 is the normal
(unpolluted) level and the time t is measured in weeks. When t = 0, organic waste is
dumped into the pond, and as the waste material oxidizes, the level of oxygen in the
pond is

f(t)=\frac{t^{2}-t+1}{t^{2}+1}

What percent of the normal level of oxygen exists in the pond after 1 week? After
2 weeks? After 10 weeks? What is the limit as t approaches infinity?

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