Question

Rabbit population P(t) satisfying the following equation

d P/ d t = kP(600-P), the initial population is 100 rabbits and is then growing at the rate of 10 rabbits perday. Predict rabbit’s population on day 25. (e^3=20)

Answer #1

A population of bacteria is growing according to the equation P
( t ) = 1100 e 0.07 t . Estimate when the population will exceed
1594.
t=

The demand for a product is given by the following equation:
D(p) = (1000/1 √p) - 1
What is the average rate of change of demand when p increases
within the following values?
(a) 4 to 25
(b) 25 to 100

The population, P, of a small town is modelled by the function
P(t)=-2t3+55t2+15t+22000 , where t=0 represents the beginning of
this year.
a) What is the initial population?
b) What is the population at the end of 10 years?
c) What is the average rate of change over 10 years?
d) Estimate the instantaneous rate of change at the end of
the10th year.
e) What is the difference between your answer in b) and d)?

Find the solution to the following equation for an
age-structured population:
∂/∂t P(t,a)+ ∂/∂a P(t,a)=−δ(a)P(t,a), a≥0,t≥0
P(0,a) = P0(a)
P(t,0) = C
where C > 0 is a constant. Bonus: What is the asymptotic
behavior of the population (total size, age-distribution if
possible) as t → ∞? If limit exists, is it a solution to the PDE
and, if so, what kind of solution?

Consider an economy that is described by the following
equations: C^d= 300+0.75(Y-T)-300r T= 100+0.2Y I^d= 200-200r
L=0.5Y-500i Y=2500; G=600; M=133,200; Pi^e=0.05. (Pi being the
actual greek pi letter sign). Please solve part D and E
(a) obtain the equation of the IS curve
(b) obtain the equation of the LM curve for a general price
level, P
(c) assume that the economy is initially in a long-run (or
general) equilibrium (i.e. Y=Y). Solve for the real interest rate
r, and...

The size P of a certain insect population at time t (in days)
obeys the function
P(t)=600e0.06t.
(a) Determine the number of insects at
t=0 days.
(b) What is the growth rate of the insect
population?
(c) What is the population after 10 days?
(d) When will the insect population reach
720?
(e) When will the insect population
double?

1.Find a possible formula for the trigonometric function whose
values are in the following table.
x
0
2
4
6
8
10
12
y
-2
-5
-2
1
-2
-5
-2
y=
2. A population of rabbits oscillates 21 above and below an
average of 103 during the year, hitting the lowest value in January
(t = 0). Find an equation for the population, P, in terms
of the months since January, t.
P(t) =
What if the lowest value...

Consider the following IS-LM model:
C=400+0.25YD
I=300+0.25Y-1500r
G=600
T=400
(M/P)D=2Y-1200r
(M/P)=3000
1-Derive the IS relation with Y on the left-hand side.
2-Derive the LM relation with r on the left-hand side.
3-Solve for equilibrium real output.
4-Solve for the equilibrium interest rate.
5-Solve for the equilibrium values of C, and I, and verify the
value you obtained for Y adding C, I and G.
6-Now suppose that the money supply increases to M/P=4320. Solve
for Y, r, C and I...

1. Solve the following IVP's given the initial conditions:
a) y'(t) - 10(√t)y(t) =
e(20/3)(t^3/2) ; y(0) = 2
b) x' - 2x = (et)(cos(t)) ; x(0) = 5
c) dx/dt + (1/t)x = ln(t) ; x(1) = 1/2

Given the following demand and supply equation for the furniture
market.
D: P = 400 – 0.6Q S: P= 50 + 0.1Q
1- Calculate the equilibrium price and quantity.
2- Calculate price elasticity of demand as the price increases from
100$ to 150$. Interpret your
result.
3 – Use your result in the previous question to state weather this
increase in price will lead to an
increase or decrease in the total revenue.
4 – Calculate total revenue at the...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 minute ago

asked 1 minute ago

asked 28 minutes ago

asked 57 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago