I need answers to questions 3 and 4b please show your work with all the steps. Thanks!

3. (10 pt.) R is a relation on Z such that (x, y) E R if and only if there is a positive integer rn such that rn -y. Determine whether R is a partial order, a strict order, or an equivalence relation. Justify your answers. 4. (20 pt., 10 pt. each) Draw a Hasse diagram for each of the following partial orders. Find the maximal and minimal elements and determine whether the partial order is a total order. a. R is a partial order on the set [0, 1,2,3,4, 5) such that (x.y) e R if and only if x2 y. b. R is a partial order on the set {2,3,5,10,11,15,25] such that (x,y) ER if and only if y is divisible by x. Hint: An integer y is divisible by an integer x with x # 0 if and only if there exists an integer k such that y = xk