Consider the piecewise linear function with graphs that pass through the following list of points on the given interval. (a) Estimate the area under the graph by using the left (L) endpoints to create five rectangles and find their total area. (b) Estimate the area under the graph by using the right (R) endpoints to create five rectangles and find their total area. (c) Estimate the area under the graph by finding the average value of the left (L) and right (R) endpoint estimates. {(−2, 2), (1, 3), (3, 4), (5, 5), (7, 8), (10, 9)} over the interval [-2, 10]. (a) L = help (numbers) (b) R (c) L+R 2 help (numbers) help (numbers)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the piecewise linear function with graphs that pass through the following list of points on the given interval.
(a) Estimate the area under the graph by using the left (L) endpoints to create five rectangles and find their total area.
(b) Estimate the area under the graph by using the right (R) endpoints to create five rectangles and find their total area.
(c) Estimate the area under the graph by finding the average value of the left (L) and right (R) endpoint estimates.
{(−2, 2), (1, 3), (3, 4), (5, 5), (7, 8), (10, 9)} over the interval [-2, 10].
(a) L =
help (numbers)
(b) R
(c)
L+R
2
help (numbers)
help (numbers)
Transcribed Image Text:Consider the piecewise linear function with graphs that pass through the following list of points on the given interval. (a) Estimate the area under the graph by using the left (L) endpoints to create five rectangles and find their total area. (b) Estimate the area under the graph by using the right (R) endpoints to create five rectangles and find their total area. (c) Estimate the area under the graph by finding the average value of the left (L) and right (R) endpoint estimates. {(−2, 2), (1, 3), (3, 4), (5, 5), (7, 8), (10, 9)} over the interval [-2, 10]. (a) L = help (numbers) (b) R (c) L+R 2 help (numbers) help (numbers)
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