To receive full credit you must show your work - answers are not enough. 1. Let W be the part of the first octant bounded by the plane 2a + 3y + 42 = 24. (a) Set up f(z,y, 2 ) dV in the order da dy da. (b) Set up / / f(z,v. 2) dV in the order da dy de. 2. Draw the following regions and convert them to inequalities in polar coordinates. (a) The region where a' + y's 25 and a 2 0. (b) The region where (2 - 3) +y' 59. (c) The triangular region whose vertices are (0, 0), (0, 4), and (4, 4). 3. Calculate the following as double integrals in polar coordinates. (a) 23 dA, where D is the disk a? ty's 9. (b) (2x + 3y + 4) dA, where H is the top half of the unit disk. () JAVIty 2dA, where R is the part of the disk a' + y'