Ex 1 → Write a function polar_to_comp, which takes two arguments r and and returns the complex number Use the NumPy function exp for the exponential function.

Ex 2 → In the description of the Python module functools, (refer to [8] for more detail on functools) you find the following Python function:

def partial(func, *args, **keywords):
    def newfunc(*fargs, **fkeywords):
        newkeywords = keywords.copy()
        newkeywords.update(fkeywords)
        return func(*(args + fargs), **newkeywords)
    newfunc.func = func
    newfunc.args = args
    newfunc.keywords = keywords
    return newfunc

Explain and test this function.

Ex 3 → Write a decorator for the function how_sparse,  which cleans the input matrix A by setting the elements that are less than 1.e-16 to zero (consider example in section Function as decorators).

Ex 4 → A continuous function f with f(a)f(b) < 0 changes its sign in the interval [a, b] and has at least one root...