Having finalized the container, you are notified by your computer that you need to mix a stabilizer with the fuel to ensure that it survives the time to the spacecraft. The computer provides a readout of the current stabilization level along with minimum and maximum levels of stabilization. An equation, s(t), that models the levels of stabilization over time is also provided. You only need to consider these stabilization levels as t gets very large (approaches ∞). s(t) = In(19/t+1) 16/t Minimum Level of Stabilization: 0.629375 Maximum Level of Stabilization: 4.0075 If the stabilization level will exceed the maximum allowed level, you must add a destabilizer. If the stabilization level will fall below the minimum allowed level, you need to add more stabilizer. Finally, if the stabilization level is between these bounds, no action is required. What do you do?

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.
Chapter4: Calculating The Derivative
Section4.EA: Extended Application Managing Renewable Resources
Problem 1EA: Suppose that a particular plot of land can sustain 500 deer and that the population of this...
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Having finalized the container, you are notified by your computer that you
need to mix a stabilizer with the fuel to ensure that it survives the time to
the spacecraft. The computer provides a readout of the current
stabilization level along with minimum and maximum levels of
stabilization. An equation, s(t), that models the levels of stabilization
over time is also provided. You only need to consider these stabilization
levels as t gets very large (approaches ∞).
s(t)
=
In(19/t+1)
16/t
Minimum Level of Stabilization: 0.629375
Maximum Level of Stabilization: 4.0075
If the stabilization level will exceed the maximum allowed level, you must
add a destabilizer. If the stabilization level will fall below the minimum
allowed level, you need to add more stabilizer. Finally, if the stabilization
level is between these bounds, no action is required. What do you do?
Transcribed Image Text:Having finalized the container, you are notified by your computer that you need to mix a stabilizer with the fuel to ensure that it survives the time to the spacecraft. The computer provides a readout of the current stabilization level along with minimum and maximum levels of stabilization. An equation, s(t), that models the levels of stabilization over time is also provided. You only need to consider these stabilization levels as t gets very large (approaches ∞). s(t) = In(19/t+1) 16/t Minimum Level of Stabilization: 0.629375 Maximum Level of Stabilization: 4.0075 If the stabilization level will exceed the maximum allowed level, you must add a destabilizer. If the stabilization level will fall below the minimum allowed level, you need to add more stabilizer. Finally, if the stabilization level is between these bounds, no action is required. What do you do?
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