programming help

Question 1 (25%) Write a C program with a separate function which calculates the sine function from the first principles according to the formula below. The error in your function should be less than 1×10-6 which determines the minimum number of terms to be included in the calculation. Compare the result with the standard sin() library function. Or Question 2 (25%) Write a C program that calculates the speed of sound (a) in air at a given temperature T (oF) using the formula below and output to a text file, in the form of a table, the speed of sound at each temperature in (oC) over 0 to 100oC range. Question 3 (50%) (a) Design and implement a class Quadratic to represent a quadratic func¬tion, a function of the form . The class should have the following features: • Include private data members for coefficients a, b, and c. • Define a default constructor and a constructor that initializes a, b, and c to the values of its three parameters. • Overload the input extraction operator to input a Quadratic object as three coefficients. • Overload the output insertion operator to display the quadratic in this form: 5x^2 + 6x +17. • Define a member function to evaluate the function at a value for x pro¬vided as a parameter, returning the value calculated as the function re¬sult. • Define a member function that displays the two real roots of the quadratic or an appropriate message if the function has a double root or no real roots. You need to use the quadratic formula in this function: (b) Write a program to test your class.