In a closed economy, a government sees its role growing with the economy, i.e.

GY=g0+g1Y, where g₀> 0 and 0 <g₁< 1.

(a)     Solve for the equilibrium level of income and derive the income multiplier.

(b)     Analyze the effects of an increase in the autonomous component of public spending on the economy when (i) wages and prices are fixed; (ii) wages and prices are flexible.

3. Describe Monopolistic Competition Firms Behavior in regards to A.) Product Differentiation B.) Profit Margins C.) Brand Loyalty D.) Profit Maximization and E.) New Entrants to the Monopolistic Competitive Market.

4.) What is a Close Economy (definition)? Give an example of a closed economy nation. What is an Open Economy (definition)? Give an example of an open economy nation.

Let f : R → R be a function.

(a) Prove that f is continuous on R if and only if, for every open set U ⊆ R, the preimage f −1 (U) = {x ∈ R : f(x) ∈ U} is open.

(b) Use part (a) to prove that if f is continuous on R, its zero set Z(f) = {x ∈ R : f(x) = 0} is closed.

1. How does the iris promote eye color as well as the dilation and constriction of the pupil?

2. What is the role of eyelashes when a foreign body invades the eye?

3. Define the terms miosis, mydriasis, accommodation, near point, and cycloplegia in relation to the eye structures and functions

4. Explain primary, secondary, and congenital glaucoma —as well as closed-angle glaucoma and open-angle glaucoma.

Chapter 11

1. Explain the uses of closed-ended, open-ended, and contingency questions. What are the primary purposes, advantages, and disadvantages of each?
2. What sorts of biases can be introduced into a questionnaire because of question sequencing? What sorts of strategies do researcher implement to eliminate these biases?
3. In your opinion, what are the most important pitfalls in questionnaire construction? Why?

Q5. [10] The left quotient of a regular language L1 with respect to L2 is defined as:
               L2/L1 = { y | x L2 , xy L1 }
Show that the family of regular languages is closed under the left quotient with a regular language.
Hint: Do NOT construct a DFA that accepts L2/L1 but use the definition of L2/L1 and the closure
properties of regular language.

An LC circuit like that in the figure below consists of a 3.30-H inductor and an 832-pF capacitor that initially carries a 134-μC charge. The switch is open for t < 0 and is then thrown closed at t = 0. Compute the following quantities at t = 5.00 ms. (a) the energy stored in the capacitor (b) the total energy in the circuit (c) the energy stored in the inductor

1. Determine if the following statements are correct and then explain briefly.

a. Policymakers in a closed economy could promote economic growth by encouraging saving.

b. When the government removes the minimum wage law, natural unemployment will fall.

c. If inflation is lower than expected, creditors gain at the expense of debtors.

d. Increase unemployment benefit payment to the unemployed will increase unemployment.

The computer center at Rockbottom University has been experiencing computer downtime. Let us assume that the trials of an associated Markov process are defined as one-hour periods and that the probability of the system being in a running state or a down state is based on the state of the system in the previous period. Historical data show the following transition probabilities: To From Running Down Running 0.70 0.30 Down 0.20 0.80 If the system is initially running, what is the probability of the system being down in the next hour of operation? If required, round your answers to two decimal places. The probability of the system is What are the steady-state probabilities of the system being in the running state and in the down state? If required, round your answers to two decimal places. = =