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5. At the beginning of 2010, a landfill contained 1400 tons of solid waste. The increasing function W models the total amount of solid
5. At the beginning of 2010, a landfill contained 1400 tons of solid waste. The increasing function W models the total amount of solid waste stored at the landfill. Planners estimate that W will satisfy the differential equation dW dt = the start of 2010. 25 (W-300) for the next 20 years. W is measured in tons, and t is measured in years from (a) Use the line tangent to the graph of W at t = 0 to approximate the amount of solid waste that the landfill contains at the end of the first 3 months of 2010 (time t = aw (b) Find in terms of W. Use di dW di to determine whether your answer in part (a) is an underestimate or an overestimate of the amount of solid waste that the landfill contains at time t = 1 4' (c) Find the particular solution W = W(t) to the differential equation condition W(0) = 1400. equation w = (W-300) with initial
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