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Use the method of disks/rings to determine the volume of the solid obtained by rotating the region bounded by y=2x^2 and y=x^3 about the x-axis.


  1. If a student randomly guesses at five multiple-choice questions, find the probability that the student gets exactly three correct. Each question has five possible choices.

Two electric train A and B leave the same station on parallel rail line train A start at rest with a uniform acceleration of 0.2m/s2 and attain a speed of 45km/h and maintain this speed at constant rate after ward . the train B leave the station 1 minute after train A has left and move with uniform acceleration of 0.4m/s2 to attain a maximum speed of 72 km/h. If train B maintain the speed of 72km/h determine the time it will over take train A

a chip is placed at room temperature of 40°c after minutes its temperature changes from 80c to 60c the proportionallity constant in case is k=0.05 ln2 find temperture of chip after 40 minute.


Check whether 𝑇 ∶ ℝ2 → ℝ2




, defined by 𝑇 (𝑥, 𝑦) = (−𝑦, 𝑥) is a linear transformation.

Write a user defined function that will ask the user to input 5

array integers and performed the following menu functions:

1. Maximum

2. Minimum

3. Count Odd

4. Count Even

5. Exit

If the user press the following number (s), do the corresponding

functions

1. Print the largest array value

2. Print the lowest array value

3. Count the number of even number(s)

4. Count the number of odd number(s)

5. Exit

Sample Input/Output:

==========Main Menu==========


[1] – Maximum

[2] – Minimum

[3] – CountEven

[4] – CountOdd

[5] – Exit

==============================

Enter your choice: 2

Enter 5 integer number(s):

20

30

8

500

800

The lowest value is: 8


Write a C++ program to call user defined function through switch

statement.

Sample Input/Output:


==========Main Menu==========

[S/s] – Square

[C/c] – Cube

[D/d] – Double

=============================


Enter your choice:d

Enter an Integer number:5

Double of 5 is 10


Do you want to try again? Y/y


==========Main Menu==========

[S/s] – Square

[C/c] – Cube

[D/d] – Double

=============================


Enter your Choice:s

Enter an Integer number:10

Square of 10 is 100

Do you want to try again? Y/y


==========Main Menu==========

[S/s] – Square

[C/c] – Cube

[D/d] – Double

=============================


Enter your Choice:C

Enter an Integer number:4

Cube of 4 is 64

Do you want to try again? N/n

Exit/Terminated


Minimum and Maximum array entry

With a function that take as parameters a one dimensional array and

the capacity of the array. Your function has to find the minimum and

maximum entry in a one dimensional array. Write a driver program that

reads array values and finds the minimum and maximum entry using your

function.

Sample Input/Output:

Enter a no. of array elements: 5

Array[1]: 20

Array[2]: 80

Array[3]: 90

Array[4]: -23

Array[5]: 70

Minimum Array Entry: -23

Maximum Array Entry: 90


Left-tailed test, variance unknown, 𝛼 = 0.01, n = 23

A population consists of the five numbers 2, 3, 6, 8, and 11.

Consider the samples of size 2 that can be drawn from this

population.

A. List all the possible samples and the corresponding mean.

B. Construct the sampling distribution of the sample mean.


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