Now we will solve for the steady state in a calibration of the US economy in 2000. In
this problem, you will assume that the rate of growth of the work force is n = 0.017 and
there is no exogenous technological progress. The aggregate production function for the
US economy in 2000 is Y = (11.5)K 1/3 L 2/3 . The units are billions of 1996 dollars. A
plausible value for the depreciation of the capital stock is δ= 0.036, and a good value for
the national savings rate is σ= 0.16.

6. Use the formula r =f'(k) to calculate the steady-state rentals rate. Explain why
the real interest rate is r-n-δ. (Hint: if you give up a unit of consumption,
you can buy a unit of capital. That capital will yield f'(k) units of output next
year, but a fraction δ is used up in production and another fraction n is needed
for new workers.)

7. Is the US economy saving at the golden rule? What is the golden rule savings rate
for our economy?

Consider the following system in Fig.2 (see attached file). Determine the steady state error for unit ramp input. What will be the effect of B and K on steady-state error?

In this problem, assume that Mexico and the United States have the same aggregate production function, the same δ (value for depreciation of capital stock), and the same n . In Mexico, real GDP per worker in 2000 is about 40% what it is in the United States, but Mexico is not near its steady-state level of output.
1. If

Steady-state laser oscillation:
(a) The He-Ne laser operates on several s --->p transitions in neon, including the 5s --->3P transition at 632.8 nm. Under the operating conditions of the laser, the fluorescence lifetimes of the upper and lower levels are approximately 100 ns and 10 ns respectively for this transition, and th

Problem 1:
Consider the closed-loop transfer function
T(s) = 10K/(s2 + 20s + K)
1. Obtain the family of step responses for K=10, 100, and 500. Co-plot the responses and develop a table that includes the following:
a. Percent overshoot
b. Settling time
c. Steady-state error.
Figure 1
Problem 2:
A negat

Guatemala government has an outstanding debt of $18.23Â billion and its GDPÂ is 30% higher than the debt. Â TheÂ nominalÂ interestÂ rateÂ isÂ 5%. Â The inflationÂ rate is 2%. Â
a. What Â is Â the Â sustainable Â deficit Â ratio Â if Â the Â country Â is Â growing Â at Â 5%? Â How Â about Â when inflation goesÂ toÂ

1. A production process contains a machine that deteriorates rapidly in both quantity and output under heavy usage, so it is inspected at the end of each day. Immediately after inspection the condition of the machine is noted and classified into one of four possible states:
State
0: good as new
1: Operable - minimum deteri

The steady-state solution of stable systems is due to simple pole in the j-Omega axis of the s-plane coming from the input. Suppose the transfer function of the system is
H(s) = Y(s)/X(s) = 1 / [(s+1)^2 + 4]
(a) Find the poles and zeros of H(s) and plot them in the s-plane. Find then the corresponding impulse response h(t

Question on obtaining the Steady-State Distribution for a Transition Probability Density Function from a forward Fokker-Planck equation. An example of a similar solution has been provided. Basically I need to show detailed workings from my forward equation to the steady-state probability distribution. Please answer as clearly as

See the attachment for the full question.
5. (see attachment for the growth accounting equation)
Growth rates of K (capital) and N (labor) are weighted by their respective income shares, so that each input contributes an amount equal to the product of the input's growth rate and their share of income to output growth. The Î