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Determine the new development time

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Reference no: EM131606805

Question: An organism has a development time of T days at a temperature H = f(t)°C. The total the number of degreedays S required for development to maturity is a constant defined by

S = 0∫T (f(t) - Hmin) dt

(a) Evaluate this integral for T = 18, f(t) = 30°C, and Hmin = 10°C. What are the units of S?

(b) Illustrate this definite integral on a graph. Label the features corresponding to T , f(t), Hmin, and S.

(c) Now suppose H = g(t) = 20 + 10 cos(2πt/6)°C. Assuming that S remains constant, write a definite integral which determines the new development time, T2. Sketch a graph illustrating this new integral. Judging from the graph, how does T2 compare to T? Find T2.

Reference no: EM131606805

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