In Silicon Valley, a number of computer-related manufacturing firms were contaminating underground water supplies with toxic chemicals stored in leaking underground containers. A water quality control agency ordered the companies to take immediate corrective action and contribute to a monetary pool for the testing and cleanup of the underground contamination. Suppose that the monetary pool (in millions of dollars) for the testing and cleanup is given by

where x is the percentage (expressed as a decimal) of the total contaminant removed.
(A) How much must be in the pool to remove 90% of the contaminant?
(B) How much must be in the pool to remove 95% of the contaminant?
(C) Find lim x →1- P(x) and discuss the implications of this limit.

Transcribed Image Text:

2r P(x) 0