3. A landfill at time t = 0 years contains 1200 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 200) for the next 20 years. Wis dW = dt 25 (W - measured in tons, and t is measured in years. (a) Use the tangent to the graph of W at t = 0 to approximate the amount of solid waste that the landfill contains 6 months later. (b) Find d²w dt² in terms of W. Use d²w dt² to determine whether your answer in part (a) is an underestimate or an overestimate of the amount of solid waste that the landfill contains after 6 months. W(t) to the differential equation dW dt =(W-200) (c) Find the particular solution W = with initial condition W(0) = 1200.
3. A landfill at time t = 0 years contains 1200 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 200) for the next 20 years. Wis dW = dt 25 (W - measured in tons, and t is measured in years. (a) Use the tangent to the graph of W at t = 0 to approximate the amount of solid waste that the landfill contains 6 months later. (b) Find d²w dt² in terms of W. Use d²w dt² to determine whether your answer in part (a) is an underestimate or an overestimate of the amount of solid waste that the landfill contains after 6 months. W(t) to the differential equation dW dt =(W-200) (c) Find the particular solution W = with initial condition W(0) = 1200.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
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