Help quick! The table below shows the water temperature at certain depths of a lake. Using an logarithmic model, write an equati
2 answers:
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Note that 
in the given closed interval, so the area is exactly given by the definite integral
(no absolute values needed!)
Integrating gives
(no absolute values needed!)
Integrating gives
Building and solving an equation to model the situation, it is found that it takes 4 min for the prairie dog to reach 13 feet underground.
- Initially, the dog is 5 feet underground.
- Each minute, the dog goes 2 more feet underground.
Hence, the underground height of the dog after t seconds is given by:
The time it takes for the dog to reach 13 feet underground is <u>t for which h(t) = 13</u>, hence:
It takes 4 min for the prairie dog to reach 13 feet underground.
A similar problem is given at brainly.com/question/25290003