In desert areas of the western United States, lizards and other reptiles are harvested for sale as pets. Because reptiles hibernate during the winter months, no reptiles are gathered during the months of January, February, November, and December. The number of lizards harvested during the remaining months can be modeled as h(m) = 15.3 sin(0.805m + 2.95) + 16.7 where m is the month of the year (i.e., m = 3 represents March), 3 s m s 10.t (a) Calculate the amplitude and average value of the model. (Round your answer to one decimal place.) lizards lizards amplitude average value (b) Calculate the highest and lowest monthly harvests. Write a sentence interpreting these numbers in context. (Round your answer to the nearest integer.) The most lizards harvested in one month is( | lizard(s). | lizard(s) and the least harvested in one month (during harvest season) is (c) Calculate the period of the model. (Round your answer to three decimal places.)
In desert areas of the western United States, lizards and other reptiles are harvested for sale as pets. Because reptiles hibernate during the winter months, no reptiles are gathered during the months of January, February, November, and December. The number of lizards harvested during the remaining months can be modeled as h(m) = 15.3 sin(0.805m + 2.95) + 16.7 where m is the month of the year (i.e., m = 3 represents March), 3 s m s 10.t (a) Calculate the amplitude and average value of the model. (Round your answer to one decimal place.) lizards lizards amplitude average value (b) Calculate the highest and lowest monthly harvests. Write a sentence interpreting these numbers in context. (Round your answer to the nearest integer.) The most lizards harvested in one month is( | lizard(s). | lizard(s) and the least harvested in one month (during harvest season) is (c) Calculate the period of the model. (Round your answer to three decimal places.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:In desert areas of the western United States, lizards and other reptiles are harvested for sale as pets. Because reptiles hibernate
during the winter months, no reptiles are gathered during the months of January, February, November, and December. The
number of lizards harvested during the remaining months can be modeled as
h(m) = 15.3 sin(0.805m + 2.95) + 16.7
where m is the month of the year (i.e., m = 3 represents March), 3 sm s 10.+
(a) Calculate the amplitude and average value of the model. (Round your answer to one decimal place.)
amplitude
lizards
average value
| lizards
(b) Calculate the highest and lowest monthly harvests. Write a sentence interpreting these numbers in context. (Round
your answer to the nearest integer.)
The most lizards harvested in one month is
lizard(s) and the least harvested in one month (during
harvest season) is
lizard(s).
(c) Calculate the period of the model. (Round your answer to three decimal places.)
Is this model useful for m outside the stated input range? Explain.
-Select-- ; the model --Select---
m = 1, 2, 11, and 12 all need output values of
apply outside the interval specified by the data because
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