14. The inside temperature of a building is modelled by T(t) = 3cos(15t) + 22, where T' is the temperature in °C and t is the number of hours elapsed since 5 A.M. The graph is shown below. a) Using an appropriate calculation, explain why the coefficient of t in the equation is 15. T(C 30 28- 26 -24- 22 -20 18+ 16 14+ -12- 10 8+ 6 4+ -2+ 5 am 5pm 5am b) In another building, the temperature fluctuates in a similar manner except that the maximum temperature is 31°C and the minimum temperature is 19°C. Determine the defining equation that models the temperature in this other building.
14. The inside temperature of a building is modelled by T(t) = 3cos(15t) + 22, where T' is the temperature in °C and t is the number of hours elapsed since 5 A.M. The graph is shown below. a) Using an appropriate calculation, explain why the coefficient of t in the equation is 15. T(C 30 28- 26 -24- 22 -20 18+ 16 14+ -12- 10 8+ 6 4+ -2+ 5 am 5pm 5am b) In another building, the temperature fluctuates in a similar manner except that the maximum temperature is 31°C and the minimum temperature is 19°C. Determine the defining equation that models the temperature in this other building.
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:14. The inside temperature of a building is modelled by T(t) = 3cos(15t) + 22, where I' is the
temperature in °C and t is the number of hours elapsed since 5 A.M. The graph is shown below.
a) Using an appropriate calculation, explain why
the coefficient of t in the equation is 15.
TCC
30
28-
26+
-24+
22+
20
18+
16+
14-
12
10
8-
6-
4+
2+
5 am
5pm
5am
b) In another building, the temperature fluctuates in a similar manner except that the maximum
temperature is 31°C and the minimum temperature is 19°C. Determine the defining equation that
models the temperature in this other building.
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