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. 71. 48. y 3x - 2, [2,5] 47. y -4x +5, [0, 1] 50. y 5x2 1, [0, 2] 49. y x2 +2, [0, 1] 52. y 4 x2, [-2, 2] 54. y 2x - x3, [0, 1] 56. y 2x3- x2, [1,2] 51. y 25 - xr2, [1,4] 27 x3, [1, 3] 53. y 55. y x2 - x, [-1, 1] 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, 0sys2 58. g(y) =y, 2 < ys 4 50

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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.
71.
48. y 3x - 2, [2,5]
47. y -4x +5, [0, 1]
50. y
5x2 1, [0, 2]
49. y x2 +2, [0, 1]
52. y 4 x2, [-2, 2]
54. y 2x - x3, [0, 1]
56. y 2x3- x2, [1,2]
51. y 25 - xr2, [1,4]
27 x3, [1, 3]
53. y
55. y x2 - x, [-1, 1]
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, 0sys2
58. g(y) =y, 2 < ys 4
50
Transcribed Image Text: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. 71. 48. y 3x - 2, [2,5] 47. y -4x +5, [0, 1] 50. y 5x2 1, [0, 2] 49. y x2 +2, [0, 1] 52. y 4 x2, [-2, 2] 54. y 2x - x3, [0, 1] 56. y 2x3- x2, [1,2] 51. y 25 - xr2, [1,4] 27 x3, [1, 3] 53. y 55. y x2 - x, [-1, 1] 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, 0sys2 58. g(y) =y, 2 < ys 4 50
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