It is estimated that z months from now, the number (in thousands) of out-of-state cars on a ferry system will be given by the function N(z) = - læ? + 9z. A) Find a simplified expression for the rate at which the number of out-of-state vehicles will be changing with respect to time z months from now. The rate of change expression is N'(2) = B) What is the exact rate of change of the number of out-of-state vehicles 1 month(s) from now? The rate of change is thousand cars per month. (Your answer may be negative.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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It is estimated that x months from now, the number (in thousands) of out-of-state cars on a ferry system will
be given by the function N(æ) =
- l22 + 9x.
-
A) Find a simplified expression for the rate at which the number of out-of-state vehicles will be changing with
respect to time a months from now.
The rate of change expression is N (x) =
B) What is the exact rate of change of the number of out-of-state vehicles 1 month(s) from now?
The rate of change is
thousand cars per month. (Your answer may be negative.)
Transcribed Image Text:It is estimated that x months from now, the number (in thousands) of out-of-state cars on a ferry system will be given by the function N(æ) = - l22 + 9x. - A) Find a simplified expression for the rate at which the number of out-of-state vehicles will be changing with respect to time a months from now. The rate of change expression is N (x) = B) What is the exact rate of change of the number of out-of-state vehicles 1 month(s) from now? The rate of change is thousand cars per month. (Your answer may be negative.)
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