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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
.
(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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