Suppose there is a function for calculating the numerical integration of a variable v, named number_integral which computes the array v using a for loop. This function takes a function handle delta_t as its first input argument, the acceleration due to gravity g, alpha, beta, m, and N as its other inputs in that same order. The function returns a value v as its only return argument. Give a) the name of the file which would be used to implement this function. And b) give the function prototype/definition.