3. A bacteria culture grows at a rate proportional to its size. After 2 hours, the bacteria count was 400 and after 6 hours, the bacteria count was 20,000. (a) Solve a system of equations to find k and yo for y Yoekt. (Note: it will help to assume = k is real in the symbols command). (b) Use this to determine when the bacteria count reaches 2,000,000 (exact and approximate). (c) Suppose 400 was the "initial" amount and 20,000 was the count after 4 hours. Find k and the amount of bacteria 2 hours BEFORE the "initial" time. In a print statement, explain what you notice when comparing these answers to part (a).from sympy import * from sympy.plotting import (plot,plot_parametric) import math Please answer in python and the stuff above as already been entered into the code.
3. A bacteria culture grows at a rate proportional to its size. After 2 hours, the bacteria count was 400 and after 6 hours, the bacteria count was 20,000.
(a) Solve a system of equations to find k and yo for y Yoekt. (Note: it will help to assume = k is real in the symbols command).
(b) Use this to determine when the bacteria count reaches 2,000,000 (exact and approximate).
(c) Suppose 400 was the "initial" amount and 20,000 was the count after 4 hours. Find k and the amount of bacteria 2 hours BEFORE the "initial" time. In a print statement, explain what you notice when comparing these answers to part (a).from sympy import *
from sympy.plotting import (plot,plot_parametric)
import math
Please answer in python and the stuff above as already been entered into the code.
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