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Answer to a math question Log0
Murray
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\log\:0\:=\:undefined\:
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Exercise The temperature T in degrees Celsius of a chemical reaction is given as a function of time t, expressed in minutes, by the function defined on ΒΏ by: T (t )=(20 t +10)eβ0.5t. 1) What is the initial temperature? 2) Show that T' (t )=(β10 t +15)eβ0 .5t. 3) Study the sign of T' (t ), then draw up the table of variations of T . We do not ask for the limit of T in +β. 4) What is the maximum temperature reached by the reaction chemical. We will give an approximate value to within 10β2. 5) After how long does the temperature T go back down to its initial value? We will give an approximate value of this time in minutes and seconds. DM 2: study of a function Exercise The temperature T in degrees Celsius of a chemical reaction is given as a function of time t, expressed in minutes, by the function defined on ΒΏ by: T (t )=(20 t +10)eβ0.5t. 1) What is the initial temperature? 2) Show that T' (t )=(β10 t +15)eβ0.5 t. 3) Study the sign of T' (t ), then draw up the table of variations of T . We do not ask for the limit of T in +β. 4) What is the maximum temperature reached by the reaction chemical. We will give an approximate value to within 10β2. 5) After how long does the temperature T go back down to its initial value? We will give an approximate value of this time in minutes and seconds.
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