`MATH 252 TEST 3 5/9/06 SPRING, 2006Remember to keep your work neat and orderly. Show all of your work. NO WORK = NO CREDIT! Read each question carefully and be sure to answer the question that was asked. Good luck!Name:____________________________________________________________ pts1. Set up (do not evaluate) an iterated integral that will give the area between the curves 23 xy  and .73  xy82. Sketch the region being integrated over and evaluate completely: . 0442dydxexxx 113. For the iterated integral     30300330),( ),( yydxdyyxfdxdyyxfa. Sketch the region being integrated over. 7b. Change the order of integration (do not evaluate). 64. For the integral3224)2sin( drrdra. Sketch the region being integrated over. 5b. Evaluate the integral without using a calculator. 125. Set up (do not evaluate) an integral that will give the area enclosed by the curve 3cos7r.76. Set up (do not evaluate) a line integral that will integrate the function yxyxf 2),( over the curve that follows the line 3xy from (0,3) to (-3,0) and then follows the parabola 26 xy  from (-3,0) to (-5,-19). 107. Evaluate (without using a calculator) the line integral  ,2dszyxC where C is the line segment with endpoints at (0,1,2) and (2,2,5). 128. Set up (do not evaluate) two different iterated integrals that will compute the area between the curves 23xy  and 3xy  between the intersection points (0,0) and (3,27). 109. Find the volume of the solid that lies under the surface xyyxf 24),( and above the triangle in the x-y plane with vertices at (0,0), (-2, 2), and (0, 2).