Write the MATLAB commands that assign 33 and 4 to the variables a and b, respectively. Then, create a column vector W with the elements a! In(ab) Vb – a V(a + b)² – (b – a)² -a where y! is the factorial of y, for which you should use a built-in MATLAB function, and In(x) is the natural logarithm of x. Finally, compute the average of the elements in W.

Finally, we will do some simple analysis – ranking of words. Write a function word_ranking(corpus, n, sort_index) which takes input parameters corpus (type list), n (type int), and sort_index (type int) and returns a list containing tuples of words and their frequencies in the top n of words. Here, corpus is a list of sentences. n is the number of ranked words to return. The resulting list should then be sorted based on the sort_index; sort_index = 0 should sort the list of tuples in ascending alphabetical order, while sort_index = 1 should sort the list of tuples by the frequencies in descending order. All other numeric values for sort_index should return an empty list (don't need to consider non-integer inputs). For example, we have: corpus = ['hi hi hi hi', 'hello hello say bye', 'bye bye']n = 3sort_index = 1   The function should return:   [('hi', 4), ('bye', 3), ('hello', 2)]   While sort_index = 0 should return:   [('bye', 3), ('hello', 2), ('hi', 4)]     You can assume n would…

For input vector x, write a function to check whether there exists at most 5 elements in x whose values are less than 7.

Write a function to nd the prime factors of an input number, not 0. The function should take an integer and output a vector whose entries are the prime factors of the input. These entries can be repeated ie. if you multiply all the entries you should get the original number. If the input equals to 0, print an error and output the empty vector [ ]. If the input equals to 1, output just the number 1. Do not use the Matlab function factor() to solve this problem. 1