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13 Nov 2019
What is double integral of dydx in 47 and 51 J-1J, Jo Jo 2xy dx dy42. 2x dx dy In2 2 43. dx dy xy dx dy Ï/2 Ï /2 45. 6 sin (2x 3y) dx dy 46. dx 47-52. Evaluating integrals Evaluate the following integrals. A sketch is helpful. 47. 48. 49, sketch to n ãR 12yd: RÃs bounded by y-2-x,y=Vx, and y=0. I Ry2 dA: Ris bounded by y=1.y=1-x, and y=x-1. 17x3xy dA: R is bounded by y=2-x, y=0, and x 4·-y2 in the first quadrant. d by 50. (x + y) dA: R is bounded by y = 1x1 and y = 4. 51. 1.3x2 dA: Ris bounded by y=0, y=2x+ 4, and y=x3. 52. 1 Rx2yd: R is bounded by y = 0, y = Vx, and y = x-2. 53-56. Volumes Use double integrals to calculate the volume of the following regions the 53. The tetrahedron bounded by the coordinate planes 54· The solid in the first octant bounded by the coordinate planes and 55ãThe segment of the cylinder x2 + y-1 bounded above by the 56. The solid beneath the cylinder y and above the region (x = 0, y = 0, z 0) and the plane z = 8-2x-4y the surface z 1-y-x plane z = 12 + x + y and below by: 0 x + 5
What is double integral of dydx in 47 and 51
J-1J, Jo Jo 2xy dx dy42. 2x dx dy In2 2 43. dx dy xy dx dy Ï/2 Ï /2 45. 6 sin (2x 3y) dx dy 46. dx 47-52. Evaluating integrals Evaluate the following integrals. A sketch is helpful. 47. 48. 49, sketch to n ãR 12yd: RÃs bounded by y-2-x,y=Vx, and y=0. I Ry2 dA: Ris bounded by y=1.y=1-x, and y=x-1. 17x3xy dA: R is bounded by y=2-x, y=0, and x 4·-y2 in the first quadrant. d by 50. (x + y) dA: R is bounded by y = 1x1 and y = 4. 51. 1.3x2 dA: Ris bounded by y=0, y=2x+ 4, and y=x3. 52. 1 Rx2yd: R is bounded by y = 0, y = Vx, and y = x-2. 53-56. Volumes Use double integrals to calculate the volume of the following regions the 53. The tetrahedron bounded by the coordinate planes 54· The solid in the first octant bounded by the coordinate planes and 55ãThe segment of the cylinder x2 + y-1 bounded above by the 56. The solid beneath the cylinder y and above the region (x = 0, y = 0, z 0) and the plane z = 8-2x-4y the surface z 1-y-x plane z = 12 + x + y and below by: 0 x + 5
Deanna HettingerLv2
8 Feb 2019