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find the area of the surface generated when the given arc is revolved about the y axis ( y= 4 - x^2 from x=0 to x=2 )


Write a program that works with fractions. Your program should be able to add, 

subtract, multiply, and divide two fractions. Write a separate function for addition, 

subtraction, multiplication and division. Specifically, your program must request 

two fractions from the user, getting the numerator and denominator separately for 

each fraction, and the operation to perform (add, subtract, multiply, or divide). 

Your program will then compute the resulting fraction, keeping the numerator and 

denominator separate, and output the result. 

Note:

Make the structure for fractions. Then declare variable of fractions and use 

them for addition and multiplication etc....


C. Let p and q be proposition

p: 4 is a rational number

q: √3 is an irrational number


Express each of these proposition as an English sentences:


  1. ~p
  2. p∨ q
  3. p ∧ q
  4. p → q
  5. p ↔ q

Random samples of size 𝑛 = 2 are drawn from a finite population


consisting of the numbers 5,6,7,8, and 9.


a. Find the mean of the population 𝜇.


b. Find the standard deviation of the population 𝜎.


c. Find the mean of the sampling distribution of the sample means 𝜇𝑋̅.


d. Find the standard deviation of the sampling distribution of the sample


means 𝜎𝑋̅.


e. Verify the Central Limit theorem by:


I. Comparing 𝜇 and 𝜇𝑋̅.


II. Comparing 𝜎 and 𝜎𝑋̅.

6.      Write a Java program that will print the following series until it reaches 100.

 

1 1 2 3 5 8 13 …………………………

 

7.      Write a java program to find the sum of the series up to the nth term where n is input by the user.

1+(1+n)+(1+n+n)+(1+n+n+n)……………….nth Term

Example: input n = 6

Output: 1+7+13+19+25+31 = 96




 

 

4.      Write a program (without using an array) that accepts three numbers from the user and prints "increasing" if the numbers are in increasing order, "decreasing" if the numbers are in decreasing order, and "Neither increasing or decreasing order" otherwise.

 

Example: Input first number: 1524

Input second number: 2345

Input third number: 3321

 

Expected Output :

 

Increasing order

 

5.      Write a java program that inputs an integer and outputs if the number is a Palindrome.

 






2. Write a program in Java to display a diamond pattern of asterisks.

Expected Output :


*

***

*****

*******

*********

***********

*************

***********

*********

*******

*****

***

*



3. Write a Java program that reads a positive integer and counts the number of digits the number has.

e.g. Input is 14367, Output is 5.





A 5 kg particle moving along the x-axis experiences the Net Force Fx = 10t, where t is in seconds. The particle has a velocity of 2 m/s at t = 1s. Find the particle's velocity at t = 5s:

a. 24 m/s

b. 26 m/s

c. 27 m/s

d. 25 m/s


1.      Write a program in Java to display a right-angled triangle pattern with numbers, as shown below.

Expected Output :

1                                                                               

12                                                                              

123                                                                             

1234                                                                            

12345                                                                           

123456                                                                          

1234567                                                                         

12345678                                                                        

123456789                                                                       

12345678910

 

   

 




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