Please solve these ASAP!

Question 1. (3 marks) (a) Show that the collection of all open intervals {(a,b)} is a basis of R with the standard Euclidean topology. (b) Using all basic open sets of R, prove that a, y, z) = $2 +102 + 2:2 + 1 is continuous function from R3 to R.{i.e. Show that f'1((a,b)) is open in R3.) Question 2. (3 marks) Show that the collection of the sets of the form B={(m,y)ER2: a