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The dawn reported (jan 17, 2022) that motorway ridership declined after a toll increases.



" There were nearly four million less riders in december 2021, the first full month after the price of a toll tax was increased 25% to Rs 125/10km, than in the previous month November 2021 in which nearly 40 million riders were recorded by the motorway Authority"



a) use these data to estimate the price elasticity of demand for motorway riders.



b) According to your estimate, what happens to the NHA's (National Highway Authority) revenue when the toll tax rises, graphically show the total revenue and give your opinion about authority decision?



c) do you think that your estimate of the elasticity is reliable?

You work in a printing office that the machine there can print documents in different colors. It gets an integer number between 1 to 7 and prints the documents in rainbow colors, as shown in the following table:

Number Matched Color

1 ------- red

2 ------- orange

3 ------- yellow

4 ------- green

5 ------- blue

6 ------- indigo

7 ------- violet

Design an algorithm and write a C++ program to do the following:

  • Prompt user to enter a number between 1 and 7
  • Use selection structure such as if-else or switch to find the color based on the previous table
  • Output the color related to input number. See the sample output.
  • Save the output in a file named “color.txt”.

Solve by the method of variation of parameter y''+y=secx

Solve by the method of variation of of parameter y''+y=secx

Create a class Author whose attributes are: name, email, gender and books. Author constructor initializes the values


of name, email, gender and books. Define a static variable, method and block, and use this keyword in your code.

21. Find the values of my for which the system is not a Cramer's system.

(a)-2x+m²y=m

x-my=1-m


(b) mx+y=2

x+my=-2


22.(a) Mr. Benny is now 3 times as old as his son. In 13 years' time he will be twice as old as his son,Find Mr. Benny's present age.

(b) Two buses are 200 kilometers apart. They are traveling towards each other, the first bus is traveling 40km per hour while the second bus is traveling 60km per hour. When and where will they meet?


23.Two consecutive intergers are such that their reciprocatals add to 9/10. Find the two integers.


16. Solve in |R:

(a) 2(3y-2)+3(4-3y)>12-(5y+7)

(b) 2(k+2)+3(2k-3)<or=2


17.(a) if x=1-3t and y=2t-1.

Find the value of t such that x=y.

(b) solve for real value of x the equation,

(m+1)x²-(m+3)x+3-m=0.

When m=-1.


18.Given the parametric equations:

x=t-1/t

y=2(t+2)/t²

Find the coordinates of the point where,

(a) t=-2

(b) t=-1


19.solve in |R:

(a) 4(m+5)-6(2m+3)=3(m+14)-2(5-m)+9

(b) 3(k-1)-4(k+6)=10(k+5)



A program to declare a class student whose data members are student name,marks of 3 subject,total and average and two static data members pass and fail and members functions are-



1 get()to get student name and marks of three subject



2 calc() to Calculate total and avg and also calculate how many student are pass and fail (avg>=40,pass otherwise fail)



3 disp()to display all data members except pass and fail



4 result ()to display total no.of pass and fail student it is a static function



In main(),get details 5 students




Show that x^5 +4x=1 has exactly one solution on [0,1]


Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is designed to increase the likelihood that each baby will be a​ girl, but assume that the method has no​ effect, so the probability of a girl is 0.5. Assume that the groups consist of 17 couples.

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