Q 1.Let P pI) —— 2 t4 — 1 1 31 e . Calculate dP dt 2.Let /(t) 12s — 10 I:ct t, for t > 0. Calculate the derivative of /. 10 6.A brick is heated in an oven and then taken out to cool after a certain time. The temperature of the brick at time is given by 2 Z’ 103e (’ 3) for > g, with in degrees Celsius and I in minutes. At what time I is the brick removed from the oven (that is, when does the brick reach its maximum temperature and begin to cool down)? 10.A logistic function is a function of the form A , where A, B, c are 1+Bc * constants. Given the logistic function s(t) 05 1+B y—4t calculate the constant B if s(0) 2. 2
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