Saturday

October 25, 2014

October 25, 2014

Posted by **Chaz** on Wednesday, March 24, 2010 at 4:51pm.

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?

- calculus -
**bobpursley**, Wednesday, March 24, 2010 at 5:01pmMost of the cells are on the edge,so A'=k(sqrt(A)) which implies that growth rate is proportional to diameter.

growth rate= k(sqrt(A) * (9-A)

growth rate ' = -ksqrtA+ k/2sqrtA * (9-A)

set growth rate '=0

2A=(9-A) or A=3cm^3

- calculus -
**Damon**, Wednesday, March 24, 2010 at 5:05pmA)

dA/dt = k A^.5 (9-A) = 9 k A^.5 -k A^1.5

d^2A/dt^2 = .5(9)k A^-.5 - 1.5 k A^.5

when that is 0 we have a max or min

4.5 /A^.5 = 1.5 A^.5

A = 4.5/1.5 = 3 done

**Answer this Question**

**Related Questions**

structure and function of the human body - With your understanding of bone and ...

Anatomy - Describe each part of the respiratory passage regarding tissue, and ...

Biology - Discuss two lifestyle factors (one for bone and one for muscle) that ...

Biology - Which of the following is correctly matched with its tissue system? ...

human body - With your understanding of bone and muscle tissue (cells and the ...

anatomy - the nervous system is comprised of what 2 tissue types? I have ...

biology - Explain how respiration and the circulatory system work together when ...

math - The freshman class is building a float for homecoming.One side of the ...

BIOL HELP PLEASE! - microscopic examination of a tissue reveals an open ...

Science/ Biol PLEASE HELP - microscopic examination of a tissue reveals an open ...