The following questions are related to the Real Business Cycles (RBC) Model.

1. What are the sources of economic fluctuation?
2. Analyze the effect of positive supply shocks on output and employment in the RBC model.
3. Why the RBC suggests the optimal policy recommendations must come through the supply side rather than the demand side?

With an appropriate example, explain how investors by engaging in a future contract able to protect their investments from price fluctuation?

Your colleague is working on two algorithms, \(X\) and \(Y\), that determine whether two people are a certain distance apart. They use a number of different inputs, \(n\). They are seeking your advice.

1. If they tell you that algorithm \(X\) has a worst-case runtime complexity of \(O(n^2)\) and algorithm \(Y\) has a worst-case runtime complexity of \(O(n^3)\), which algorithm would you recommend and why?
2. Your colleague then adds that the average-case time complexity for \(X\) is \(Θ(n^2)\) and for \(Y\) is \(Θ(n)\). Does this change your advice at all, and why? Your answers should be no longer than a sentence or two.

What would you expect to be the electron-group arrangement around atom A in each of the following cases? For each arrangement, give the ideal bond angle and the direction of any expected deviation:

Write a Java program according to the followings:

1. Super class named Animal as the followings:
   1. Implements the two interface FinalExam and MidExam
   2. instance variable: String name.
   3. instance variable: String voice.
   4. Public constructor receives two string argument to set instance variable
   5. Public method get_name returns animal name.
   6. Public method get_voice returns animal voice.
2. Subclass named Cat inherits Animal
   1. Instance variables: String type;
   2. Public constructor receives three arguments to set instance variables, (name, voice, type) and then call Animal constructor
   3. Public method getType returns Cat type;
3. Subclass class named Dog that inherits Animal
   1. Instance variables: String type;
   2. Public constructor receives three arguments to set instance variables, (name, voice, type) and then call Animal constructor
   3. Public method getType returns Dog type;
4. An interface named FinalExam
   
   1. This interface contains one integer value which is equal to 10 and named x.
   2. This interface contains three methods:
      1. First method name is getName.
      2. Second method is getZone.
      3. Third method is getCategory.
5. An interface named MidExam
   
   1. This interface inherit FinalExam
   2. This interface contains three methods:
      1. First method name is getName.
      2. Second method is getZone.
      3. Third method is getCategory.
6. Main program
   
   1. Create object name a with reference Animal and Cat object.
   2. Create object name b with reference Animal and Dog object.
   3. Call all methods inside Cat class
   4. Call all methods inside Dog class
   5. Use exception handling

Researcher models the temperature T (in degree C) during the time period from 6 am to 6 pm in a certain northern city by the function



where t is the number of hours after 6 am. Answer the following 2 items:

1. What is the average temperature in the city during the workday, from 8 am to 5 pm?
2. At what time (or times) during the workday is the temperature in the city the same as the average temperature found in part 1. ?

The 15-kg block A and 25-kg cylinder B are connected by the light cord that passes over a 5-kg pulley with I_G = 0.025 kg.m². If the system is released from rest, (with coefficient of friction between the block and ground of 0.3) calculate the angular acceleration of the pulley.

According to the U.S. National Electrical Code, the copper wire used for interior wiring of houses, hotels, office buildings, and industrial plants is permitted to carry no more than a specified maximum amount of current. The table below shows the maximum current Imax for several common sizes of wire with varnished cambric insulation. The“wire gauge” is a standard used to describe the diameter of wires. Note that the larger the diameter of the wire, the smaller the wire gauge.

1. What considerations determine the maximum current-carrying capacity of household wiring?
2. A total of 4200 W of power is to be supplied through the wires of a house to the household electrical appliances. If the potential difference across the group of appliances is 120 V, determine the gauge of the thinnest permissible wire that can be used.
3. Suppose the wire used in this house is of the gauge found in part (b) and has a total length of 42.0 m. At what rate is energy dissipated in the wires?
4. The house is built in a community where the consumer cost of electric energy is $0.11 per kilowatt-hour. If the house were built with the wire of the next larger diameter than that found in part (b), what would be the savings in electricity costs in one year? Assume that the appliances are kept on for an average of 12 hours a day.

Assume you have two analog-to-digital converters with the following characteristics:
ADC1: 8 bit, nominal input range 0→5 volts,
ADC2: 12 bit, nominal input range 0→10 volts

1. What is the resolution of each of these ADCs (smallest step in voltage that you can measure, i.e. step size)
2. If ADC1 created a binary code (1110 0010)₂, what is the range of input voltages that could have produced this code?
3. If ADC2 created a binary code (0000 1110 0010)₂ what is the range of input voltages could have produced this code?
4. Find the codes produced by the two ADCs when the input voltages are:
   (i) 3.5V (ii) 2.35 V (iii) 6.35 V