Write a program in C to implement Regula-Falsi method.
The Regula-Falsi method, also called the False Position method, is a numerical approach used to find the root of a nonlinear equation. In this technique, an interval is chosen where the function changes its sign, which ensures the existence of a root between those ____ ______ _______ ___ ______ _______.
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4. Write a program in C for the demonstration of Stirling's Formula for Interpolation. (5 Marks)
Q5. Write a C Program for solving the following system of equations using Jacobi method:
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Starting with x^(0) = (0, 0, 0, 0). The exact solution is x = (1, 2, 3, 4)ᵀ.
Write a C program to solve the IVP y' = -ty², y(2) = 1 and find y(2.1) and y(2.2) with h = 0.1 using improved tangent method (modified Euler method) of O(h²). (5
Write a program in C to solve the equation x²y' = 1-xy-x², y(1) = -1 from x=1 to x=2 by using Taylor series method of O(h²) with h= 1/3 and ¼ and find the actual error at x=2 if the exact solution is y=-1/x .
Write a program in C to implement Regula-Falsi method.
Write a C program to solve the IVP y' = -ty², y(2) = 1 and find y(2.1) and y(2.2) with h = 0.1 using improved tangent method (modified Euler method) of O(h²).
Write a program to implement Gauss Elimination method for solving linear equations. Your method should check if a given pivot is zero or not. It should also minimise the floating-point errors.
Write a program in C that accepts a decimal number and displays its floating-point equivalent number. You may make assumptions to simplify the program, however, your representation of floating point number should be closer to IEEE 754 standard 32 bit representation.