Question: A person develops a small liver tumor. It grows according to S(t) = S(0)et where S(0) = 1.0 gram and = 0.1/day. At time

A person develops a small liver tumor. It grows according to
S(t) = S(0)eαt
where S(0) = 1.0 gram and α = 0.1/day. At time t = 30 days, the tumor is detected and treatment begins. The size of the tumor then decreases linearly with slope of −0.4 grams/day.
a. Write the equation for tumor size at t = 30.
b. Sketch a graph of the size of the tumor over time.
c. When will the tumor disappear completely?

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