Assume that the outside temperature varies as T (t) = 15 + 5 sin(t/12) where t = 0 is 12
Chapter 9, Problem 42(choose chapter or problem)
Assume that the outside temperature varies as T (t) = 15 + 5 sin(t/12) where t = 0 is 12 noon. A house is heated to 25C at t = 0 and after that, its temperature y(t) varies according to Newtons Law of Cooling (Figure 6): dy dt = 0.1 y(t) T (t) Use Exercise 41 to solve for y(t). y(t) T(t) t(hours) y(C) 12 24 36 48 60 84 72 5 10 15 20 25 FIGURE 6 House temperature y(t).
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