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At the beginning of 20 10, a landll contained 1400 tous of solid waste. The increasing function W models the total amount of solid waste

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At the beginning of 20 10, a landll contained 1400 tous of solid waste. The increasing function W models the total amount of solid waste stored at the landll. Planners estimate that W will satisfy the differential equation (ii'3? = 215017 300) for the next 20 years. W is measured in tons, and t is measured in years from the start of 2010. (a) Use the line tangent to the graph of W at t = 0 to approximate the amount of solid waste that the landll contains at the end of the rst 3 months of 2010 (time t = %). 2 2 (b) Find dW in terms of W. Use d W a' 2 d 2 to determine whether your answer in part (a) is an underestimate or t I an overestimate of the amount of solid waste that the landll contains at time t = %

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