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Q3 Please help The total number of bacteria, measured in millions, in a culture is given by N(t) = 3vt + 4, where f is

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Q3 Please help

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The total number of bacteria, measured in millions, in a culture is given by N(t) = 3vt + 4, where f is in hours. a) Calculate the average rate of change of the number of bacteria from: i) t = Oh tot = 12 h ii] t = Oh to t = 5h b) Draw the secant lines that represent each of the above average rates of change on the graph below. Then, on the same graph below, draw an appropriate tangent line to the curve when t = ( hours. c)|Estimate the instantaneous rate of change of the number of bacteria when = 0 by estimating the slope of the tangent line at that point. d) Find N (t), the instantaneous rate of change of the number of bacteria with respect to time t by using the limit definition of a derivative. 2) Find the instantaneous rate of change of the number of bacteria when t = 0

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