(a) Show that for logarithmic oxidation, the rate of oxide
growth dy/dt is inversely proportional to...
(a) Show that for logarithmic oxidation, the rate of oxide
growth dy/dt is inversely proportional to the time for large
reaction times. (b) Then show that the oxidation rate approaches 0
for a large reaction time.
The rate of growth of the population of rabbits in China is
proportional to the current rabbit population. The population after
t years is R(t). Write the differential equation for which R(t) is
a solution. Your equation should involve an unknown constant
Initially, there are 100 rabbits but the population is
increasing at a rate of 20 per year. Use this information to find
the unknown constant in part That is, write the differential
equation (without an unknown constant) for...
2. The growth rate of a population of bacteria is
directly proportional to the population p(t) (measured in millions)
at time t (measured in hours).
(a) Model this situation using a differential
equation.
(b) Find the general solution to the differential
equation.
(c) If the number of bacteria in the culture grew from
p(0) = 200 to p(24) = 800 in 24 hours, what was the population
after the first 12 hours?
3. Find the particular solution y(x) to the...
Population Exponential Model:
Suppose that the growth rate of the population of city X is
proportional to the population of X. We have the following data:
the population in 1945 was 36,000 and the population in 1990 was
63,000. Establish and solve an Initial Value Problem to express the
population of X as a function of time, graph this function and
calculate an estimate of the population in the year 2040.
Solve the problem using the parameters from the beggining...
Show how growth rate of GDP per capita is related to the growth
rate of GDP per worker and growth rate of working-age fraction of
population. How does the effect of population redistribution reduce
the average growth rate of income in the world? Explain this
(composition effect) by providing examples.
a. Show, stating all required assumptions, that the growth rate
of efficiency in any
economy can be calculated as (where z = Z/L) (In malthusian
economy)
gA = gy - agk - cgz
b. Show that the result in part (a) above implies that the
growth rate of efficiency in
Malthusian economies over the long run is given by
gA = cgN
where c is the share of land rents in all incomes, and gN is the
population growth rate.
PLEASE SHOW WORK
Stock A is selling for $40 per share, has an expected growth
rate of 8 percent, is expected to pay a dividend of $4 per share
next year, and its beta is estimated to be 2.00.The risk-free rate
of interest is 4 percent and the market risk premium is 5
percent.
A.If the expected inflation rate is expected to return to 1
percent, but the market risk premium increases to 7 percent, what
is the risk-free rate...