EXERCISES Exercise 14.1.1 Evaluate the iterated integral. 2 (x2 - y?) dydx Exercise 14.1.2 Evaluate the iterated integral. 3 2 dr dy Jo c+ 2yExercise 14.1.3 Evaluate the iterated integral. 4 / / ylns: dydzc 1 1 Exercise 14.1.4 Evaluate the iterated integral. 1 v...\" 1'g2 / / (23; + 3y) d3 dy 0 0 Exercise 14.1.5 Calculate // (5 3:2 2y) dA , where R is the rectangle [0. 2] X [0.1]. R Exercise 14.1.6 Calculate // (33: y) dA , where R is the region bounded by the curves: R y=435y=4:t?. Exercise 14.1.7 Calculate // E dA , where R is the smaller region bounded by the curves: RI y=0,3:=1,y=\\/4 2. Exercise 14.1.8 Calculate // [3 23:) dA, where R is the region bounded by the curves: R I y=ey:?y:4' Exercise 14.1.9 Use double integrals to evaluate the volume of the solid bounded by y = 3:2, y = 1, z = 0, z = 3 3:. Exercise 14.1.10 Use double integrals to evaluate the volume of the solid bounded by z = 1 y2 and z=y21,for0rg3. Exercise 14.1.11 Evaluate the iterated integral by switching it to double integral, then draw the region, and reverse the order of integartion. 2 1 j / e_3'2 dy d1: 0 % Exercise 14.1.12 Calculate the area of the region bounded by the curves 1' = 3 yr? and a: = y + 1