1 Convexity and relaxations (5 pts.) For each of the following problems, determine if they are convex or not1 by looking at the constraints and the objective (i.e., it is not necessary to draw the feasible set on the Cartesian plane), and motivate your answer: (3)n1'1n m2 + 101:4 ln(z) m2 + y2 + 322 g 1 335*2 5 125 y 22:2 2 0 (1) min 23:2 + 21:2 + my 159; + 501; 217 0.0013: y = 0 m2 + y2 2 1/3 (5)n1'1n m2+3y+52 e$+eyl m2+32+2my51 (4)1I1in (2)111111 (6) min 09+??? myzU 35