In this exercise, use the region under the graph of f(x) = 6x + 8, above the x-axis, and between the vertical lines x = 0 and x = 5. (a) Use a right sum with n = 5 to approximate the area of the region. (b) Use a left sum with n = 5 to approximate the area of the region. (c) Use a middle sum with n = 5 to approximate the area of the region. (d) Use the limit definition of the area to find the exact value of the area.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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In this exercise, use the region under the graph of f(x) = 6x° + 8, above the x-axis, and between the vertical lines x = 0 and x = 5.
(a) Use a right sum with n = 5 to approximate the area of the region.
(b) Use a left sum with n = 5 to approximate the area of the region.
(c) Use a middle sum with n = 5 to approximate the area of the region.
(d) Use the limit definition of the area to find the exact value of the area.
Transcribed Image Text:In this exercise, use the region under the graph of f(x) = 6x° + 8, above the x-axis, and between the vertical lines x = 0 and x = 5. (a) Use a right sum with n = 5 to approximate the area of the region. (b) Use a left sum with n = 5 to approximate the area of the region. (c) Use a middle sum with n = 5 to approximate the area of the region. (d) Use the limit definition of the area to find the exact value of the area.
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