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categoryالرياضيات schoolبكالوريوس event_available2026-07-15

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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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