Question number 50, 54, 60 and 62 please

Finding Area by the Limit Definition In Exercises 47-56, use the limit process to find the area of the region bounded by the graph of the function and the x-axis over the given interval. Sketch the region. 47. y = -4x + 5, [0, 1] 48. y = 3x - 2, [2, 5] 49. y = x2 + 2, [0, 1] 50. y = 5x2 + 1, [0, 2] 51. y = 25 - x2, [1, 4] 52. y = 4 - x2, [-2, 2] 53. y = 27 - x3, [1, 3] 54. y = 2x - x3, [0, 1] 55. y = x2 - x3, [-1, 1] 56. y = 2x3 - x2, [1, 2] Finding Area by the Limit Definition In Exercises 57-62, use the limit process to find the area of the region bounded by the graph of the function and the y-axis over the given y-interval. Sketch the region. 57. f ( y) = 4y, 0 sys 2 58. 8 (y) = zy, 2 5 y S 4 59. f (y) = y2, 0 sys 5 60. y = 3y - 12, 2 sys 3 61. g(y) = 4y2 - y3, 1 sys 3 62. j h( y) = y3 + 1, 1 sys 2