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Suppose there are signs on the doors to two rooms. The sign on the first door reads “In this

room there is a lady, and in the other one there is a tiger”; and the sign on the second door

reads “In one of these rooms, there is a lady and in one of them there is a tiger.” Suppose

that you know that one these signs is true, and the other is false. Behind which door is the

lady? Explain your reasoning using propositions.


Apopulation consist of 1,3,5,7,9 with sample size 2

Using L'Hospital's Rule to determine limits to infinity


“Our state of the art algorithm allows you to simply input the width and height of your skyscraper, and using a specially trained machine learning model, it would automatically generate a “star” (*) image of the entire structure. Specifically, the foundation of the building would always be width + 2 stars wide, while the top of the tower contains 1 star if the width is an odd number, or 2 stars if the width is an even number. Are you ready to see how it works?”


) Apart from the base and the top level of the tower, every level starts and ends with a white space(" ").


The first line will contain a message prompt to width of the skyscraper.


The second line will contain a message prompt to height of the skyscraper.


The succeeding lines will contain the skyscraper pattern.

Discuss how these maritime transport service providers interact jointly to form a viable maritime transport chain.


1.Which one of the following statements is correct?

a. a decrease in net exports will decrease the equilibrium level of income

b. an increase in the tax rate will increase the size of the multiplier

c. a change in the tax rate has no impact on the size of the multiplier

d. an increase in net exports will decrease the equilibrium level of income

2.Which one of the following statements is correct regarding the Keynesian model with the government sector and the foreign sector?

a. government expenditure is autonomous

b. exports and imports are a function of the interest rate

c. an increase in government expenditure will decrease the equilibrium level of income

d. a decrease in net exports will increase the equilibrium level of income


In the Keynesian model, tax revenue…

a. does not appear in the aggregate expenditure function because it is always equal to government expenditure.

b. is taken into account through its effect on consumption.

c. reduces equilibrium income because it reduces autonomous spending.

d. increases aggregate expenditure because government invariably increases its spending when taxes rise.

e. is taken to be fixed because government expenditure is taken to be fixed.


In a Keynesian model with a foreign sector, an increase in the domestic income level will_____.


a. increase both exports and imports.


b. increase exports and decrease imports.


c. leave exports unchanged and increase imports.


d. decrease both exports and imports.


Create a class called Rational for performing arithmetic with fractions. The result should be stored in reduced form. Use integer variables to represent the private data of the class— the numerator and the denominator. Provide a constructor that enables an object of this class to be initialized when it’s declared. The constructor should contain default values in case no initializers are provided and should store the fraction in reduced form. For example, the fraction would be stored in the object as 1 in the numerator and 2 in the denominator. Provide public member functions that perform each of the following tasks:

The result should be stored in reduced form of all these parts except part (f):

a) Adding two Rational numbers.

b) Subtracting two Rational numbers.

c) Multiplying two Rational numbers.

d) Dividing two Rational numbers.

e) Printing Rational numbers in the form a/b using << operators.

f) Printing Rational numbers in floating-point format using << operators.



A car mass 1.0x105g travelling at 20m/s is brought to rest by applying the brakes. Assuming that the kinetic energy of the car becomes transferred to internal energy in four steel brake drum of equal mass, find the rise in temperature the drum if the total mass is 20kg, the specific heat capacity of the steel is 450J/kg and the work done is equal on all four drum


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