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The position function of Superman’s motion in the x-axis is given by x(t) = e^t cos(2t) + 4t^3 − t sin(t).

Use meters for the position and seconds for time.

a. Find the displacement of Superman from t = 0s to t = 5s.

b. What is the velocity of Superman for any given t? Find the velocity of Superman when t = 5s.

c. Find the acceleration function for Superman’s motion. Did he slow down or speed up when t = πs? Explain.


Write a program in C++take two matrix and compute their addition subtraction and multiplication. With output

Median


given a list of integers,write a program to print the mean,median and mode 

median - the mid point value in the sorted list.


input 

the input will be a single line of containing space-separated integers.


output

the second line of output should contain the median, round off the value to 2 decimal places.

median should be a float value when there are even number of elements, otherwise should be an integer value.

see sample input/output for the output format


explanation 


for example, if the given list of integers are 

2 6 3 8 12 2 9 10 3 4

the average of all the numbers is 4.67.

after sorting the array,

1 2 2 3 3 4 6 8 9 10 12

as the length of the list is an odd number, the median will be middle numbers in the sorted list.so the median will be 4

so the output should be


Median: 4


Using the t-table, identify the missing value for each of the following;1.n=12,95%confidence, confidence coefficient

Write a Java program that prompts the user to enter thier gender ( Female/ male) and day of the week ( Monday to Sunday). If you enter Monday, or Tuesday, or Wednesday or Thursday it should read "Hello sir, enjoy your day" or "Hello mam enjoy your day". But when entered Friday, or Saturday, or Sunday it should read "Hello sir enjoy your weekend" or "Hello mam enjoy your weekend "

For what values of h the vectors


⟶              ⟶                 ⟶  

u1 = [1, -3, -2]             u2 = [-1, 9, -6]              u3 = [5, -7, h]   

     

are linearly independent? (Show all working)


Note: The three vectors are supposed to be in a 3x1 matrix(3 rows and 1 column)



Dry air can support a maximum electric field strength of about 10 x 10^6 V/m. The field creates enough ionization in the air to make the air a conductor. what is the the voltage between two parallel conducting separated by 2.5 cm of dry air


Select an article or news from a newspaper, radio or television that addresses an ethical issue related to business. Describe the issue in your own words. Integrate an ethical philosophy, belief systems or Filipino values to describe the issue in order to identify preferred way to guide decision making.

Median

given a list of integers,write a program to print the median. 

input 

the input will be a single line of containing space-separated integers.

output

the second line of output should contain the median, round off the value to 2 decimal places.

median should be a float value when there are even number of elements, otherwise should be an integer value.

see sample input/output for the output format

explanation 

for example, if the given list of integers are 

2 4 5 6 7 8 2 4 5 2 3 8

the average of all the numbers is 4.67.

after sorting the array,

2 2 2 3 4 4 5 6 7 8 8

as the length of the list is an even number, the median will be the average of the two middle numbers in the sorted list.

the middle numbers will be 5 and 4. so the average of 5 and 4 will be median, which is 4.5

so the output should be

Median: 4.5


sample input 1

2 4 5 6 7 8 2 4 5 2 3 8

sample output 1

Median: 4.5


Critically discuss the shamanism and San mythology models in a study of therianthropes in San Rock art .Refer to no more than 3 images of relevant San Rock art to illustrate your answer


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