Find the area of the region bounded above by y = 4 and below by y = $2. \fFind the area of the region bounded to the right by x = y + 3 and to the left by x = y2 + 2y + 1. 2 X 4 6 8 O 4.5 0 4 O 3.75 O 60 / 00The base of a three-dimensional figure is bound by the line y = 4 - x on the interval [-2, 2]. Vertical cross-sections that are perpendicular to the x-axis are rectangles with height equal to 5. Algebraically, find the area of each rectangle. X 32 -1 1 23 4 5 67 O A(x) = 5 (4 +x) O A(x) = 5 (4 -2) O A(a) = (4 -2) O A(x) = 5(4-2)2The base of a three-dimensional figure is bound by the semi-circle y = v4 - x2. Vertical cross-sections that are perpendicular x-axis are squares. Algebraically, find the area of each square. W . X 5432 -1 1 2345 O A(x) = 4- 22 O A(x) = 2(4 + 2) O A(x) = (4 - 2) O A(x) = 2 (4 - a)The base of a three-dimensional figure is bound by the graph x = y3 and the y-axis on the interval [1, 2]. Vertical cross-sections tha are perpendicular to the y-axis are rectangles with height equal to 2. Algebraically, find the area of each rectangle. NW . X 12 3 4 5 6 7 8 9 O y3 O O 3 O 2y3The base of a three-dimensional figure is bound by the line y = 2x + 4 on the interval [-2, 1]. Vertical cross-sections that are perpendicular to the x-axis are squares. Find the volume of the figure. X 3/2 -10 1 23 4 5 6 7 O O 32 3 O 44 3 O 36The base of a three-dimensional figure is bound by the line y = -x2 + 4 on the interval [-1, 1]. Vertical cross-sections that are perpendicular to the x-axis are right triangles with height equal to 6. Find the volume of the figure. HUWAGON X -32 -1 1 23 45 6 7 O O 32 O 44 3 O 22The base of a three-dimensional figure is bound by the line x = y and the y-axis on the interval [0, 2]. Vertical cross-sections that are perpendicular to the y-axis are rectangles with height equal to 3. Find the volume of the figure. -NW X 5432-14 2345 2+ O 13 4 O 15 4 O 17 4 0 8A region bounded by f[x) = x, y = 0, x = 1, and x = 4 is shown below. Find the volume of the solid formed by revolving the region about the x-axis. Auto-hm -2 123456?3 -2 3 .4 5 A region bounded by f(:t?) = 1/3: + 4 , y = 0, x = -3, and x = Dis shown below. Find the volume of the solid formed by revolving the region about the x-axis. 00me 443-2311123455 .4 15 O 1;11' O 11% A region bounded by f(x) = -x + 5, y = 2, and x = 0 is shown below. Find the volume of the solid formed by revolving the region about the x-axis