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categoryالرياضيات
schoolبكالوريوس
event_available2026-07-15
السؤال
Transcribed Image Text:
Problem Two: (Based on Problem 3.4, Chapra textbook)
The average daily temperature for an area can be approximated by the following function:
Tkw = Tmean + (Tpeak - Tmean) cos (w(t - tpeak))
2
365
Where Tmean is the average annual temperature, Tpeak is the peak temperature, w= is the
frequency of annual variation, and tpeak = 205 d is the day of peak temperature. For Kuwait
City, the average and peak temperatures are Tmean = 35°C and Tpeak = 48°C, respectively.
a) Create the vectors and Tkw using 80 equally spaced intervals, where I is the days of the
year (0≤1≤365) and Tkw is the ambient temperatures in Kuwait.
b) Redo part (a) and develop Tbo for Boston (US), for which Tmean = 10.7°C and Tpeak =
22.9°C. For this part, define the function using @ handle.
c) Generate a labeled plot to compare Tkw and Tbo temperatures throughout the year.
Label the x-axis and y-axis
For Tkw use a dash-dotted red line and for Tbo use dashed black line.
Include a legend and grids on the plot.
d) Create a function (name it TmeanDaily) that takes as inputs the days of the year, 1, and the
Tmean and Tpeak of a specific country, and returns the average daily temperatures.
e) Using the function defined in part (d), create the Tkw and Tbo vectors, and redo part (c).
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