The number W (in thousands) of scenic and sightseeing transportation workers employed in a certain country during 2014 can be modeled by W = 31.176 + 8.541 sin(0.568t - 2.595) where t is the time (in months), with t = 1 corresponding to January. Find the average number of scenic and sightseeing transportation workers, in thousands, during the first quarter (0 ≤ t ≤ 3), the second quarter (3 ≤ t ≤ 6), and the entire year (0 ≤ t ≤ 12). (Round your answers to three decimal places.) (a) the first quarter (0 sts 3) thousand workers (b) the second quarter (3 ≤ t ≤ 6) thousand workers (c) the entire year (0 st≤ 12) thousand workers

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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The number W (in thousands) of scenic and sightseeing transportation workers employed in a certain country during 2014
can be modeled by
W = 31.176 + 8.541 sin(0.568t - 2.595)
where t is the time (in months), with t = 1 corresponding to January. Find the average number of scenic and sightseeing
transportation workers, in thousands, during the first quarter (0 ≤ t ≤ 3), the second quarter (3 ≤ t ≤ 6), and the entire
year (0 ≤ t ≤ 12). (Round your answers to three decimal places.)
(a) the first quarter (0 ≤ t ≤ 3)
thousand workers
(b) the second quarter (3 ≤ t ≤ 6)
thousand workers
(c) the entire year (0 ≤ t ≤ 12)
thousand workers
Transcribed Image Text:The number W (in thousands) of scenic and sightseeing transportation workers employed in a certain country during 2014 can be modeled by W = 31.176 + 8.541 sin(0.568t - 2.595) where t is the time (in months), with t = 1 corresponding to January. Find the average number of scenic and sightseeing transportation workers, in thousands, during the first quarter (0 ≤ t ≤ 3), the second quarter (3 ≤ t ≤ 6), and the entire year (0 ≤ t ≤ 12). (Round your answers to three decimal places.) (a) the first quarter (0 ≤ t ≤ 3) thousand workers (b) the second quarter (3 ≤ t ≤ 6) thousand workers (c) the entire year (0 ≤ t ≤ 12) thousand workers
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