Two species of bacteria, A and B, grow independently of each other in a Petri dish. The number of bacteria of the species is N1 and N2, respectively. These numbers obey the following differential equations: The initial conditions are: N1=70, N1=30. The growth constants are r1=0.1, r2=0.2. Do the following: Derive in the World file a general analytical formula for N1(t) and N2(t): Find the time Tc when the number of A and B bacteria in the Petry dish becomes equal and find this number (Nc). Show your calculations in the World file! Tc = …Nc = … Q4. Two species of bacteria, A and B, grow independently of each other in a Petri dish. Thenumber of bacteria of the species is N1 and N3, respectively. These numbers obey thefollowing differential equations:aN,dtThe initial conditions are: N1=70. N=30. The growth constants are r=0.1, rz=0.2.Do the following:a) Derive in the World file a general analytical formula for N;(t) and N2(t):b) Find the time Te when the number of A and B bacteria in the Petry dish becomes equaland find this number (N.). Show your calculations in the World file!Te = ...Nc = ...

At t = 0, let's say N = N0 Hence, ln |N0| = C Hence, ln |N| = rt + ln |N0| Hence, ln |N| - ln |N0| =…

Answered: Q4. Two species of bacteria, A and B,…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Two species of bacteria, A and B, grow independently of each other in a Petri dish. The number of bacteria of the species is N₁ and N₂, respectively. These numbers obey the following differential equations:

The initial conditions are: N₁=70, N₁=30. The growth constants are r₁=0.1, r₂=0.2.

Do the following:

Derive in the World file a general analytical formula for N₁(t) and N₂(t):

Find the time T_c when the number of A and B bacteria in the Petry dish becomes equal and find this number (N_c). Show your calculations in the World file!

T_c = …

N_c = …

Q4. Two species of bacteria, A and B, grow independently of each other in a Petri dish. The
number of bacteria of the species is N1 and N3, respectively. These numbers obey the
following differential equations:
aN,
dt
The initial conditions are: N1=70. N=30. The growth constants are r=0.1, rz=0.2.
Do the following:
a) Derive in the World file a general analytical formula for N;(t) and N2(t):
b) Find the time Te when the number of A and B bacteria in the Petry dish becomes equal
and find this number (N.). Show your calculations in the World file!
Te = ...
Nc = ...

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