Coober Pedy is a town in Australia that mines most of the world's opals (precious gemstones). Because of the scorching heat, much of the population lives in underground "dugouts." The Coober Pedy monthly high temperatures are shown in the figure below, with H (n) the temperature in month n, where n = 1 is January. We fit the data with a function, H (n) = A cos(Bn) + C. temperature (°C) 36.7 27.5 18.4 13 5 7 9 11 n (months) (a) What does the value of C represent and what is its value?
Coober Pedy is a town in Australia that mines most of the world's opals (precious gemstones). Because of the scorching heat, much of the population lives in underground "dugouts." The Coober Pedy monthly high temperatures are shown in the figure below, with H (n) the temperature in month n, where n = 1 is January. We fit the data with a function, H (n) = A cos(Bn) + C. temperature (°C) 36.7 27.5 18.4 13 5 7 9 11 n (months) (a) What does the value of C represent and what is its value?
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:Coober Pedy is a town in Australia that mines most of the world's opals (precious gemstones). Because of the scorching heat, much of
the population lives in underground "dugouts." The Coober Pedy monthly high temperatures are shown in the figure below, with H (n)
the temperature in month n, where n = 1 is January. We fit the data with a function,
H (n) = A cos(Bn) + C.
temperature (°C)
36.7
27.5
18.4
135
C =
(a) What does the value of C represent and what is its value?
Estimate your answer to one decimal place.
i
7 9 11
It represents the
n (months)
O maximum temperature.
O month at which the temperature is equal to the average temperature.
O minimum temperature.
O average temperature.
temperature variation above and below the average.
Transcribed Image Text:(b) What does the value of A represent and what is its value?
Estimate your answer to two decimal places.
A =
It represents the
O average temperature.
O minimum temperature.
O maximum temperature.
O month at which the temperature is equal to the average temperature.
temperature variation above and below the average.
eTextbook and Media
(c) What is the value of B?
OB = π/24
Ο Β = π/12
OB = n/6
B = π/4
OB = π/3
OB = π/2
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