A person develops a small liver tumor. it grows according to S(t) = S(0)e^kt, where S (0) = 1.0 gram and k = 0.1/day. at time t=30 days, the tumour is detected and treatment begins. The size of the tumour then decreases linearly with slope of -0.4grams/day (a) write the equation of the tumour size at t=30days (b)  sketch a graph  of the size of the tumour over time up to 30days (c) When will the tumor dissapear completely?

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