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Question
The amount of pollution content added in air in a city due to x diesel vehicles is given by P(x) = 0.005x3 + 0.02x2 + 30x. Find the marginal increase in pollution content when 3 diesel vehicles are added and write which value is indicated in the above questions ?
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Solution
Since, marginal increase in the pollution content is the rate of change of total pollution with respect to the number of diesel vehicles, we have
Marginal increase in pollution =
It indicates the pollution level due to x diesel vehicles.
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