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| PAGE: 744 | SET: Select | PROBLEM: 51 |
An underground pipeline is leaking a toxic chemical.
The distance the chemical spreads each year can be defined as 
.
(a) Graph:
Graph the logistic function for 
.
.gif)
(b)
Find the function values at 
and 
for graph by using tracing or table feature of the
graphing utility in part (a).
Therefore, 
, 
and 
.
(c)
Find 
.
Observe the graph in part(a):
As 
tends to large positive values, then 
decreases and close to 
without bound.
.
(d)
Sum of infinite series is 
.
Here first term that is distance spread for the first year is 
and common ratio 
.
Thus there is no chance of reach the chemical spread to the hospital which 
meters away from the leak.
(a)
(b) 
, 
and 
.
(c) 
.
(d) No.
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