Answer:
Suppose a population of rodents satisfies the differential equation dP 2 kP dt = . Initially there are P (0 2 ) = rodents, and their number is increasing at the rate of 1 dP dt = rodent per month when there are P = 10 rodents.
How long will it take for this population to grow to a hundred rodents? To a thousand rodents?
Step-by-step explanation:
Use the initial condition when dp/dt = 1, p = 10 to get k;

Seperate the differential equation and solve for the constant C.

You have 100 rodents when:

You have 1000 rodents when:

The correct answer to your question is 20x+25
C = 1.6b
c + b = 442
1.6b + b = 442
2.6b = 442
b = 442 / 2.6
b = 170 <== Boston
c = 1.6b
c = 1.6(170)
c = 272 <== Colorado Springs
Given:
The function is:

To find:
The value of
.
Solution:
We have,

Putting
, we get



On combining like terms, we get


Therefore, the required function is
.
Answer:
B) 628.32 cm cubed
Step-by-step explanation:
we know the formula to find the volume of a cylinder is π*r^2*h
where r is the radius and h is the height.
the equation would look like this
π*5^2*8
π*25*8
π*200
628.32 cm