Problem 2: List comprehensions Grading criteria: mathematical/code correctness. 21. Give mathematical expressions (written in TeX] corresponding to the following list comprehensions, in terms of the variable N. # Here are the list comprehensions Ix for xin range(N) if X 5 = 31 [x**2 for x in range-, N, 3}] In [ ]: 2b. Give list comprehensions corresponding to the following mathematical expressions, in terms of the variable N {1/z: IC 1,...,N}} {"+y*:47 {1,...,N}} In [ : 2c. Convert the following mathematical expressions into Python expressions using sum and prod, in terms of the variable N 12 116++1) prod( [i^2+1=1 for i in range (N+1)]) 2d. Construct a Python lambda function that, on input of a nannegative integer N, computes N! (the factorial), In [ ]: sum( [i for i in range blah if prime blah blah blah] >