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8. Bob takes a drug. The equation of the concentration C(t] in ngj'ml as a function of as a function of time t in hours

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8. Bob takes a "drug". The equation of the concentration C(t] in ngj'ml as a function of as a function of time t in hours satisfies the differential equation E = 106-02\" 0.20. (it a] In the field of slepes below, C(t) op 1901 1 1 1401 1 1 12801 1 111 1 1 1 -20.0 / 1 11 1 1 1 1 1 1 1 - 16.01 1/ 1111 1111/ 1117 1III1 11111 0.0 1 1 1 / so - 0.0- t 0.0draw the graph of the solution of the differential equation that satisfies the initial condition of C(0) = 0. b) Bob experiences the "effects" of the "drug" when C(t) > 10 ng/mg. Using your graph from a), find approximately the time interval when Bob will be time interval when Bob will be under the "effects" of the "drug". c) Verify that C(t) = 10te-0.2t is the solution of this differential equation passing through the point C(0) = 0

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