After being built, a car must be painted. The revenue. R, in dollars when x cars are painted can be modelled by the function R(x) = 1000x - 0.5x^2. a) determine the average rate of change of revenue when painting 200 to 300 cars. b) estimate the instantaneous rate of change of revenue after painting 1600cars.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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After being built, a car must be painted. The revenue. R, in dollars when x cars are painted can be modelled by the function R(x) = 1000x - 0.5x^2. a) determine the average rate of change of revenue when painting 200 to 300 cars. b) estimate the instantaneous rate of change of revenue after painting 1600cars.
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