2. NO Calculator allowed: 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 dW 1 differential equation = 25 dt (W-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 landfill contains at the end of the first three months of 2010 (time t = b) Find d²W dt2 d²W 11. in terms of W. Use to determine whether your answer in dt² part (a) is an underestimate or an overestimate of the amount of solid waste that the landfill contains at time t = 4 c) Find the particular solution W = W(t) to the differential equation dw dt 1 = (W-300) with initial condition W(0) = 1400. 25
2. NO Calculator allowed: 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 dW 1 differential equation = 25 dt (W-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 landfill contains at the end of the first three months of 2010 (time t = b) Find d²W dt2 d²W 11. in terms of W. Use to determine whether your answer in dt² part (a) is an underestimate or an overestimate of the amount of solid waste that the landfill contains at time t = 4 c) Find the particular solution W = W(t) to the differential equation dw dt 1 = (W-300) with initial condition W(0) = 1400. 25
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 8CR
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Transcribed Image Text:2. NO Calculator allowed: 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
dW
1
differential equation
=
25
dt
(W-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 landfill contains at the end of the first
three months of 2010 (time t =
b) Find
d²W
dt2
d²W
11.
in terms of W. Use to determine whether your answer in
dt²
part (a) is an underestimate or an overestimate of the amount of solid
waste that the landfill contains at time t =
4
c) Find the particular solution W = W(t) to the differential equation
dw
dt
1
= (W-300) with initial condition W(0) = 1400.
25
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