6 5 4 3 2 1 0 1 L(t) 2 3 4 5 6 7 8 9 10 Example 6: At the local library, visitors check out and return books throughout the day. The rate that visitors check out books, in books per minute, is modeled by L(t) where t is measured in minutes. During this time, the total amount of books that have been returned to the library is modeled by R(t) = 4t, where t is measured in minutes.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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L(t)
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Example 6: At the local library, visitors check out and return books throughout the day. The rate that
visitors check out books, in books per minute, is modeled by L(t) where t is measured in minutes.
During this time, the total amount of books that have been returned to the library is modeled by
R(t) = 4t, where t is measured in minutes.
(a) At what rate are books being checked out by visitors at time t = 9 minutes?
(b) Is the amount of books at the library increasing or decreasing at time t = 6 minutes?
(c) At what time(s) is the rate that books are checked out equal to the rate that books are being returned?
Transcribed Image Text:6 5 4 3 2 1 0 L(t) 1 2 3 4 5 6 7 8 9 10 Example 6: At the local library, visitors check out and return books throughout the day. The rate that visitors check out books, in books per minute, is modeled by L(t) where t is measured in minutes. During this time, the total amount of books that have been returned to the library is modeled by R(t) = 4t, where t is measured in minutes. (a) At what rate are books being checked out by visitors at time t = 9 minutes? (b) Is the amount of books at the library increasing or decreasing at time t = 6 minutes? (c) At what time(s) is the rate that books are checked out equal to the rate that books are being returned?
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