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25. For each of the linear operators below, determine whether it is normal, self adjoint, or neither (a) T : R2 → R2 defined by T(x, y) = (2x − 2y, −2x + 5y). (b) T : C 2 → C 2 defined by T(x, y) = (2x + iy, x + 2y). 


Briefly explain why Sodium ions have a charge of 1+

(2 marks)


The specific weight of an unknown liquid is 12 400 N/me. What mass of the liquid is contained in a volume of 500 cm3? Use: the minimum value of gravity on the earth


write a program to perform the following task

a. prompt a user to enter three number of any data type (int or float)

b. create a function which accept three numbers

c. prompt a user to select the mathematic operation ( +, -, %, *, etc)

Display the result of the mathematic operation of the three numbers.

entered according to the user choice

sample output

Enter the Number

!st Number :37.5

2st Number :10;3rd Number ;20


please select operation

A: +, B|:-, C: *, D:% etc


operation: A

the summation of 37.5, 10, and 20 is 67.

5


Explain the difference between monetary loosening and monetary tightening


The human hemoglobin is a tetrameric protein of about 64.5 KDa, consisting of two α-


chains and two β-chains tightly bound.


a) Calculate the number of amino acids present in the α-chains


b) What is the length of each β-chain?


c) What is the sum of the length of the two α-chains?


d) Find the length of the tetrameric protein hemoglobin assuming its all an alpha


helical structure.

Study the polypeptide structure sequence of a β-strand shown below



Lys-Gly-Asp-Trp-Ser-Glu



a) Draw the chemical structure of the polypeptide. Indicate on the structure the



backbone and peptide bonds



b) Calculate the weight of the protein in KDa



c) Calculate the length of the protein.

Shivam is the youngest programmer in the world, he is just 12 years old. Shivam is learning programming and today he is writing his first program.



The task is very simple: given two integers A and B, write a program to add these two numbers and output it.

With the aid of diagram(s) determine how equilibrium is achieved when there is non-government 

intervention in the market economy


Write a C program to sort the digits of an integer in ascending and descending order using pointers. 

Note: 

Enter an integer

print the integer in ascending and descending order


For example:

Test  Input   Result
1     54387   34578
              87543
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