Writing a function used to integrate using trapezoid rule

Question

Question1)a) Explain how you can print the following characters on the screen:

i) Question mark

ii) Horizontal tab

iii) Vertical tab

iv) Backslash

v) New line

vi) Backspace

b) Which of the following are valid integer constants? Give reasons for your answer.

i) 123456L

ii) 12.5

c) Which of the following are valid float constants? Give reasons for your answer.

i) 12345e-2

ii) -01234e-10

d) Which of the following are valid C identifiers? Give reasons for your answer.

i) one-two

ii) _ABC

iii) 3dimensional

Question2)a) What are the errors in the following C program?

1 # include
2 #define PI=3.14
3 int main()
4 {
5 float radius,area;
6 printf("Enter the radius\n"/*get radius*/);
7 scanf("%d",&radius);
8 area = PI*radius*radius;
9 printf("The Area is %f Km/hr.",Area);
10 return 0;
11 }

b) Arrange the operators in ascending order of priority:

i) +=,*,>>

ii) %,->,||

c) What is the type of the C expressions in the following fragment?
Int a, b;
char alpha, beta, gamma;
long x;
a*alpha-beta;
x*a+b;

Question3)a) Write the C expressions for each of the following expressions:

i) 1/(√x²+y²)

ii) (x-1)/(x²+2)+(2x-1)/(x²- 4x+7)

iii) e^{-(x-a/b)^2}

You can make use of the functions from the maths library.

b)

What do the following functions do? Justify your answer.

Int func1(floatx)

{
return((int)(x+1))
}
Int func2(intn)
{ int S = 0, i, m=0;
For (i = 0;i < n ;i++) {
m=m+2*i+1;
S=S+m;
}
return (S);
}

)

Question4)a) In the program fragment given below, what are the values of the expressions in line numbers 2, 4 and 5?

1 int x = 2, y = 2;
2 x ++ > y ? x + 1 : y + 1
3 x = 2, y = 2;
4 ++ x > x ? x:y;
5 ++ x*y --;

b) If you want to write a for() loop for printing the sum of all numbers from 1 to 100 which of the following for () loops will do the job? Give reasons for your answer.
For (sum=0,i=1; i <= 100; sum += i,++i)
;
For (sum=0,i=1,i <= 100; ++i, sum +=i)
;

c) Write a function double trapezoid( double f(double x), int a, int b) which can be used to integrate using trapezoid rule any function that fits the prototype of the function. For example, you should be able to find ₀∫^π/2 sin x dx by using a function call trapezoid(sin, 0,π/2).