1-2) A) Sketch the relation between output per worker (Y/N) and
capital per worker (K/N) in the figure below. Label the axis.
B) Define “ The Golden Rule Level of Capital”.
Graph the nominal exchange rate of Italy in relation to
the United States dollar.
Graph time on the horizontal axis and nominal exchange
rates on the vertical access. You will want to compare this to Real
Exchange rates, so see if you can plot them on the same graph -
sometimes the scale is okay, sometimes not so much. Write a few
sentences explaining what the graphs are telling you. A ten-year
time frame is preferred.
For a particle in an infinite potential well the separation
between energy states increases as n increases (see Eq. 38-13). But
doesn’t the correspondence principle require closer spacing between
states as n increases so as to approach a classical (nonquantized)
situation? Explain.
A maximal plane graph is a plane graph G = (V, E) with n ≥ 3
vertices such that if we join any two non-adjacent vertices in G,
we obtain a non-plane graph.
a) Draw a maximal plane graphs on six vertices.
b) Show that a maximal plane graph on n points has 3n − 6 edges
and 2n − 4 faces.
c) A triangulation of an n-gon is a plane graph whose infinite
face boundary is a convex n-gon...
Problem 2. Consider a graph G =
(V,E) where |V|=n.
2(a) What is the total number of possible paths of length
k ≥ 0 in G from a given starting vertex
s and ending vertex t? Hint: a path of length
k is a sequence of k + 1 vertices without
duplicates.
2(b) What is the total number of possible paths of any length in
G from a given starting vertex s and ending
vertex t?
2(c) What is the...
5.1 Sketch the energy band diagram for an n-type MOS-C under
accumulation bias conditions and sketch the energy band diagram for
an n-type MOS-C under depletion bias conditions.
a) Find the recurrence relation for the number of ways to
arrange flags on an n foot flagpole with 1 foot high red flags, 2
feet high white flags and 1 foot high blue flags.
b) solve the recurrence relation of part a
3 (a) Sketch a graph illustrating the relationships between firm
leverage and the required returns on equity and debt, and the
weighted average cost of capital, according to the
Modigliani-Miller no-taxes model. Provide an intuitive explanation
of each of the relationships you have illustrated graphically. (190
words).
The energy difference between n=11 and n=12 for an atom is
3.50x10-19 J and the energy difference between n=12 and
n=13 is 2.50x10-19 J, if an electron makes a transition
from n=11 to n=13 by absorbing a photon, calculate the wavelength
of the absorbed photon (express in nm)?
1,987.8
331.3
993.9
662.6
165.6
When a photon was used to eject an electron from the metal, the
kinetic energy of the ejected electron was found to be
3.626x10-19 J. If the...
Find and solve a recurrence relation for the number of ways to stack n poker
chips using red, white and blue chips such that no two red chips are together.
Use your solution to compute the number of ways to stack 15 poker chips.