(See Solution) The rate of change in concentration of a certain medication in a person's body, H^prime(t), in micrograms per milliliter per minute, is -1 for


Question: The rate of change in concentration of a certain medication in a person's body, \(H^{\prime}(t)\), in micrograms per milliliter per minute, is \(-1\) for the first 2 seconds. Then it increases at a constant rate for 2 seconds, reaching 1 at \(t=4\). Then it remains constant for 1 second. Sketch \(H^{\prime}(t)\) and \(H(t)\), assuming \(H(0)=6\)

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