True or False? If true, give a brief reason why; if false, give
a counterexample. (Assume in all that V and W are vector
spaces.)
a. If T : V → W is a linear transformation, then T(0) = 0.
b. Let V be a vector space with basis α = {v1, v2, . . . , vn}.
Let S : V → W and T : V → W be linear transformations, and suppose
for all vi ∈ α,...
Determine whether the following statements are true or false,
and give an explanation or a counterexample.
(a) log3y< log2y for y> 1
(b) The domain of f(x) = ln(x^2) is x > 0
TRUE/FALSE Please indicate whether each question is true or
false and provide a 1 sentence explanation
5. Temperature is associated with terrestrial productivity. If
the global temperature increased by 10C we would expect that
grasslands would have an increase in both GPP and NPP.
6. In most ecosystems, the rate of phosphorous recycling through
fixation exceeds the rate added through weathering.
7. An invasive insect called the Emerald Ash Borer has been
killing off ash trees across eastern North America...
Determine whether the statement is true or false. If it is
false, explain why or give an example that shows it is false.
If f(c) = L,then lim x→c f(x) = L.
False. Define f to be the piece-wise function where
f(x) = x + 3 when x ≠ −1 and
f(x) = 2 when x = −1. Then we have
f(−1) = 2 while the limit of f as x
approaches −1 is equal to −2.
False. Define f...
True/False/Uncertain
Answer each of the following statements True/False/Uncertain.
Give a full explanation of your answer including graphs where
appropriate. (When in doubt, always include a fully labeled
graph.)
A) Average variable cost is equal to average total cost in the
long-run.
B) Firms in a perfectly competitive market can earn positive
profits in the short and long-run.
C) A monopolist conducting perfect price discrimination does not
maximize total surplus.
1. True/False/Uncertain
Answer each of the following statements True/False/Uncertain.
Give a full explanation of your answer including graphs where
appropriate. (When in doubt, always include a fully labeled
graph.)
A) All Nash Equilibrium are Pareto efficient.
B) If firms could collude in an oligopoly game, they would set
either output or price at the monopoly level.
C) In order for cheap talk to work in an infinite game, it must
be a Nash Equilibrium in every static version of the...
True or False (please explain the reasons of why you choose true
or false)
1. A producer can charge a price far greater than marginal cost
and earn large profits so long as barriers to entry prevent
competitors from entering the industry.
2. Relative to competitive pricing, oligopoly pricing increases
producers’ profits, reduces consumers’ surplus, and (in net)
reduces social surplus.
Part I. True/False/Uncertain/Explanation.
Make sure you provide an explanation why you think the statement
is True or False or Uncertain. You get ZERO mark if you do not
provide any explanation.
Perfect competition may lead to an equilibrium
where P=MC (Price=Marginal Cost) and total surplus is
maximized.
Provinces use Canada Health Transfer and Canada
Social Transfer to provide public health and education.
If you were to drop out of college after attending
for 3 years and completing 75% of all...