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Pollution. In Silicon Valley, a number of computer firms were found to be 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 required monetary pool (in millions of dollars) is given by
where x is the percentage (expressed as a decimal fraction) of the total contaminant removed.
- (A) Where is P(x) increasing? Decreasing?
- (B) Where is the graph of P concave upward? Downward?
- (C) Find any horizontal or vertical asymptotes.
- (D) Find the x and y intercepts.
- (E) Sketch a graph of P.
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