A Write an algorithm to compute the following equation using math.h library.

$f(x)=\frac{sin(x)*log(x^2+1)}{\sqrt[\phantom{2}]{x^2+1}}+cos(x)$

Calculate the value of $f(x)$ by taking the $x$ value as input from the user.

B Develop a C program that identifies a "special number" in a sequence of numbers based on

the following conditions:

Special Number Definition:

A number in the sequence is considered "special" if it is both:

Greater than the average of all the numbers that appear before it in

the sequence.

A prime number.

Input:

The program should first ask for the total number of elements $n$ in the

sequence.

Then, it should take n integers as input from the user.

Output:

The program should output the first "special number" found in the sequence.

If no special number is found, the program should output $"$No special number

found$**$

Example:

Input:

Enter the number of elements in the sequence: $7$

Enter the sequence of numbers: $253127138$

Output:

The special number is: $13$

C Create a program that can allow to modify the average result given in above question if by

mistake a number is wrongly entered.

For example:

num $1=15$; num $2=23$; num $3=42$;

average $=26\mathrm{.}66$

by mistake $32$ was mistyped as $23$ so$,$ how do you modify the program to verify the numbers

and result and modify the result if a number is mistyped? Use control statements and jump

statements to develop the program.