\ 2 Points] Write the following two complex numbers in Cartesian form ? + ?? where ?, ? are real:\ (a1) 2 ?\ 5 ?\ , (a2) (1 ?)\ 2024\ .\ (b) [2 Points] Fix a small ? > 0. Write the complex number ? = cos(2? ?) + ?sin(2? ?) in polar\ form using\ i. the branch cut along ?0 = ?;\ ii. the branch cut along ?0 = 0.\ (c) [2 Points] Describe and sketch the region of the C-plane corresponding to\ \ \ \ \ ? + 1\ ? + 2\ \ \ \ \ < 1\ (d) [2 Points]. Explain how any ?- neighborhood is a domain.\ (e) [2 Points] Consider the real numbers as a subset ? = R of the complex numbers C. Determine\ whether ? C is an open set. Is it connected (using the definition from Lecture 2, which can\ be applied to any subset ? of C irrespective of whether the set ? is open or not)? What are its\ interior points and boundary points?\