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Write a  C program to get all possible two digit letter combinations from a digit (1 to 9) string. 

Write a C program to remove and print every third number from a list of numbers until the list becomes empty. 

One large chemical company pays its salespeople on a commission basis. The salespeople receive $200 per week plus 9% of their gross sales for that week. For example, a salesperson who sells $5000 worth of chemicals in a week receives $200 plus 9% of $5000, or a total of $650. Develop a program that will prompt the user for a salesperson’s gross sales and will calculate and display that salesperson's earnings. Process one salesperson's figures at a time, use the sentinel value -1 to terminate the program. A sample input/output dialog for the program is below:


Write a program that let's you input a string. The program then should push the characters of the string onto a stack, one by one, and then pop the characters from the stack and display them. This results is displaying the string in reverse order.

Devise a c programming interface for a stack, i.e a (stack.h) header file. Your stack should not arbitrarily add constraint(i.e: max depth of stack).


Taylor series expands function into a finite sequence of a variable x or a finite series plus a


remainder. A complex electromagnetic signal transmitted from a radio transmitter can be


decomposed into its components by using Taylor approximation, which is equivalent to estimating


the parameters of complex exponential functions. Let x(t) be a signal transmitted. Develop a C-


script that calculates the following Taylor series approximation of function f(x) for N number of


terms. Where N is the largest whole number which is a factor of both 42 and 98. You can select any


positive real value of x.



f (x) = ∑


𝒙


𝒏


𝒏!


𝑵


𝒏=𝟎


= 1 +


𝒙


𝟏!


+


𝒙


𝟐


𝟐!


+


𝒙


𝟑


𝟑!


........


Note : Don't use arrays, do with loops

Octal number system has been popularly used as a potential number system in computing texts,


graphics, and especially file protection systems in UNIX operating system. Develop a C- script that


takes a decimal number as an input and produces its equivalent octal number.


[DoB]10 = (----)8


DoB: Date of birth


Note : Don't use array, do with loops

A toy company manufactures electronic learning boards for kids to learn alphabets. Accordingly,



when a kid presses 1 alphabet a is shown on the screen, and when 2 is pressed ab is shown along



with the previous alphabet and so on. The patterns are likely to be as follow:





a



ab




abc



abcd



abcde



:



:



:



:



a



Develop a C-script which generates the above-mentioned pattern.


Note : Don't use array ,just use loops

A toy company manufactures electronic learning boards for kids to learn alphabets. Accordingly,





when a kid presses 1 alphabet a is shown on the screen, and when 2 is pressed ab is shown along





with the previous alphabet and so on. The patterns are likely to be as follow:







a





ab





abc





abcd





abcde





:





:





:





:





abcdefghijklmnopqrstuvwxyz





Develop a C-script which generates the above-mentioned pattern


Note: Don't use array , do with loops

Write a program to implement the Merge sort algorithm with the space optimization for





auxiliary space O(n/2)

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