Question: need help please write neatly! 4. The amount of active ingredient of medicine ingested by the body, A, in milligrams, is a function of time,

need help please write neatly!

4. The amount of active ingredient of medicine ingested by the body, A, in milligrams, is a function of time, t, in hours, 5 A(t) = (12tt2) given by 6 (a) Determine the average rate of change of the amount of medicine ingested from (i) 3 hours to 5 hours (ii) 5 hours to 7 hours (2 marks) (b) Compare the two rates with respect to the given information. (1 mark) (c) Estimate the instantaneous rate of change at t = 2 hours. Use an interval of 0.01. Round your answer to the nearest hundredth. Do not find the instantaneous rate of change using the difference quotient or any Calculus method. Explain what the value represents in this situation. (2 marks)

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