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Suppose that equilibrium price in this market were to remain at P2 while equilibrium quantity increases from Q2 to Q4. Which of the following could account for such a change?



1.an increase in income, assuming this is a normal good.



2.an increase in the price of a complement combined with an increase in the price of a factor of production.



3.an increase in the price of a substitute combined with a technological innovation reducing production costs.



4.an increase in the price of a complement combined with a decrease in the price of a factor of production

Find the spring constant k if the spring is stretched a distance 47 m by a suspended weight 19 N. The acceleration of gravity is 9.8 m/s^2. Answer in units of N/m.

Suppose that equilibrium quantity in a market were to remain at Q2 while equilibrium price increases from P2 to P1. Which of the following could account for such a change?



1.an increase in the price of a substitute combined with a technological innovation reducing production costs.



2.a decrease in the price of a substitute combined with a technological innovation reducing production costs.



3.an increase in the price of a complement combined with a decrease in the price of a factor of production.



4.a decrease in the price of a complement combined with an increase in the price of a factor of production.

For the given functions f (x), let x0 = 1, x1 = 1.25, and x2 = 1.6. Construct interpolation polynomials of degree at most one and at most two to approximate f (1.4), and find the absolute error.

a. f (x) = sin πx

b. f (x) =cube root of (x − 1)

c. f (x) = log10 (3x − 1)

d. f (x) = e2x − x


In this question, you are required to write C++ code that checks whether the number

entered by the user is a happy number or not for 10 cycles/iterations only.

Example: Assume a number 19

Number Computation Result cycle/iterations

19 1

2 + 9

2 82 1


82 8

2 + 2

2 68 2


68 6

2 + 8

2 100 3


100 1

2 + 0

2 +0

2 1 4




Create a C# console application that prints the Area of a square.


The application must use OOP concepts:


 Create an abstract class named ShapesClass.


 ShapesClass must contain an abstract method named Area.


 Create a class named Square that inherits from ShapesClass.


 Square class must contain a Square method.


 Create a method named Area that will override abstract method Area, and then return the sides of the square.


 In the main method create an object of the square class, with the value of the side. Print the Area of the square.



How to convert basic data to user defined data type?


A 20 kg brick stands upright on the ground as shown. What is the pressure it exerts on the ground? 10cm x 20cm x 5cm

A temperature difference of 5 K is equal to


A sample of carbon dioxide occupies a volume of 3.50 Liters at 125 kPa pressure. What pressure would the gas exert if the volume was decreased to 2.00 liters?


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