State a tissue culture grows until maximum rate of growth

Reference no: EM13201764

A tissue culture grows until it has an area of 9 cm^2. A(t) is the area of the tissue at time t. One model for the growth rate is

A'(t)=k*sqrt(A(t))*(9-A(t)) for some constant k. The number of cells on the edge is proportional to sqrt(A(t)) and most of the growth occurs on the edge.

A) How do you show that the maximum rate of growth occurs at any time when A(t)=3 cm^2?

B) Assuming that k=6, then how do you find the solution corresponding to A(0)=1?

and for A(0)=4?

Reference no: EM13201764

Questions Cloud

Determine solving a system of linear equations : how can you check your answer to determine whether it is correct? Demonstrate the process of checking an answer with an example.

Find the length that will maximize the area : 88 feet of fencing to enclose a rectangular plot if you do not fence the side along the river. find the length that will maximize the area.

What role does the department of the treasury play : What is the crowding out effect A reduction in private spending as a result of higher interest rates generated by budget deficits that are financed by borrowing in the private loanable funds market.

Determine public policy is called what : An instruction formally defined as a group of political activists who organize to win elections, operate the government and determine public policy is called what?

State a tissue culture grows until maximum rate of growth : A tissue culture grows until it has an area of 9 cm^2. A(t) is the area of the tissue at time t. One model for the growth rate is A'(t)=k*sqrt(A(t))*(9-A(t)) for some constant k. The number of cells on the edge is proportional to sqrt(A(t)) and mo..

What is the problem at the heart of economics : What did pre-Keynesian believe about the market and its ability to pull itself out of a recession 9. What role do investments in human capital, physical capital, technology development, and improving institutional quality play in creating economic..

Economic expansion prior : How can it be argued that the Erie Canal was the single most important accomplishment contributing to economic expansion prior to the coming of the railroad?

Survey paper related to fault tolerance : Perform original research on a topic in the field of Reliability and Fault Tolerance - The survey paper will be expected to meet a higher standard of completeness and perform a more extensive analysis of existing literature

Security concerns : Educate Joseph by developing a short research paper. Research and list some security concerns that his business should address as it considers how to develop a Web presence.

User Account

All Pages