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. 48. y 3x 2, [2, 5] 50. y 5x2 + 1, [0, 2] -4x + 5, [0, 1] 47. y 49. y x2 + 2, [0, 1] 52. y 4 x2, [-2,2] 51. y 25 - x2, [1, 4] x 54. y 2x - x3, [0, 1] 27 - x3, [1, 3] 53. y 56. y 2x3- x2, [1,2] 55. y x2 - x, [-1, 1] s for a oper and graph of nterval. 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. ber of 57. f(y) = 4y, 0ys2 11 58. g(y) =y, 2

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter2: Graphical And Tabular Analysis
Section2.FR1: A Further Look: Limits
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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.
48. y 3x 2, [2, 5]
50. y 5x2 + 1, [0, 2]
-4x + 5, [0, 1]
47. y
49. y x2 + 2, [0, 1]
52. y 4 x2, [-2,2]
51. y 25 - x2, [1, 4]
x
54. y 2x - x3, [0, 1]
27 - x3, [1, 3]
53. y
56. y 2x3- x2, [1,2]
55. y x2 - x, [-1, 1]
s for a
oper and
graph of
nterval.
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.
ber of
57. f(y) = 4y, 0ys2
11
58. g(y) =y, 2 <ys 4
59. f(y) = y2, 0 sys5
60. y 3y-y. 2s ys3
61. g(y) 4y2 - y, 1sys3
62
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. 48. y 3x 2, [2, 5] 50. y 5x2 + 1, [0, 2] -4x + 5, [0, 1] 47. y 49. y x2 + 2, [0, 1] 52. y 4 x2, [-2,2] 51. y 25 - x2, [1, 4] x 54. y 2x - x3, [0, 1] 27 - x3, [1, 3] 53. y 56. y 2x3- x2, [1,2] 55. y x2 - x, [-1, 1] s for a oper and graph of nterval. 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. ber of 57. f(y) = 4y, 0ys2 11 58. g(y) =y, 2 <ys 4 59. f(y) = y2, 0 sys5 60. y 3y-y. 2s ys3 61. g(y) 4y2 - y, 1sys3 62
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