(2) A study indicates that spending money on pollution control is effective up to a point but eventually becomes wasteful. Suppose it is known that when x million dollars is spent on 100 E controlling pollution, the percentage of pollution removed is given by P(x) =: 0.03x +9 (i) At what rate is the percentage of pollution removal P(x) changing when 16 million dollars is spent? Is the percentage increasing or decreasing at this level of expenditure? (ii) For what values of x is P(x) increasing? (iii) For what values of x is P(x) decreasing?
(2) A study indicates that spending money on pollution control is effective up to a point but eventually becomes wasteful. Suppose it is known that when x million dollars is spent on 100 E controlling pollution, the percentage of pollution removed is given by P(x) =: 0.03x +9 (i) At what rate is the percentage of pollution removal P(x) changing when 16 million dollars is spent? Is the percentage increasing or decreasing at this level of expenditure? (ii) For what values of x is P(x) increasing? (iii) For what values of x is P(x) decreasing?
ChapterP: Prerequisites
SectionP.4: Factoring Polynomials
Problem 84E: The rate of change of an autocatalytic chemical reaction is kQxkx2 where Q is the amount of the...
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