Under certainconditions, the number of diseased cellsN(t) at time t increases at a rate Upper N prime left parenthesis t right parenthesis equals Upper A e Superscript kt

N(t)=Aekt, where A is the rate of increase at time 0(in cells perday) and k is a constant.

Under certain conditions, the number of diseased cells N(t) at time t increases at a rate N'(t) = A e k', where A is the rate of increase at time 0 (in cells per day) and k is a constant. a. Suppose A= 50, and at 4 days, the cells are growing at a rate of 150 per day. Find a formula for the number of cells after t days, given that 200 cells are present att= 0. b. Use your answer from part a to nd the number of cells present after 10 days