hi, hope you can help me with the first problem please. much appreciate it... LANGUAGE: C++

The method of false position is an algorithm to find a root of a function, that is, to r such that . Like the bisection method, it begins with the root bracketed between two points, in the sense that The algorithm proceeds to select a point m such that, and like the bisection method, it then reduces the interval to either or. Depending on the sign of. Although the bisection method picks, the method of the false position uses the function values and to select the value of m. In particular, m is selected to the root of the line passes from the point to the point, as shown in the figure shown below: Write and test a general purpose method of false position routine for finding the roots of the function: (The root of the function is 0.56714329 ) 2. Determine the number of terms necessary to approximate to 8 significant figures using series approximation: Calculate the approximation using a value of x=0.3. Write a program to determine your result