An organism has a development time of T days at a temperatureH = f(t)C. The total the
Chapter 7, Problem 191(choose chapter or problem)
An organism has a development time of T days at a temperatureH = f(t)C. The total the number of degreedaysS required for development to maturity is a constantdefined byS =, T0(f(t) Hmin)dt.(a) Evaluate this integral for T = 18, f(t) = 30C, andHmin = 10C. What are the units of S?(b) Illustrate this definite integral on a graph. Label thefeatures corresponding to T , f(t), Hmin, and S.(c) Now suppose H = g(t) = 20 + 10 cos(2t/6)C.Assuming that S remains constant, write a defi-nite integral which determines the new developmenttime, T2. Sketch a graph illustrating this new integral.Judging from the graph, how does T2 compareto T ? Find T2.
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