Unless specified, all approximating rectangles are assumed to have the same width. Let f(x) = (a) Estimate the area under the graph of f, the x-axis, and the lines x-1 and x = 2 using four approximating rectangles and right endpoints. (Round your answer to four decimal places.) Sketch the graph and the rectangles. y 2 Is your estimate an underestimate or an overestimate of the true area? O underestimate O overestimate (b) Repeat part (a) using a left endpoints. (Round your answer to four decimal places.) Sketch the graph and the rectangles. Is your estimate an underestimate or an overestimate of the true area? O underestimate O overestimate 2 2 1 2
Unless specified, all approximating rectangles are assumed to have the same width. Let f(x) = (a) Estimate the area under the graph of f, the x-axis, and the lines x-1 and x = 2 using four approximating rectangles and right endpoints. (Round your answer to four decimal places.) Sketch the graph and the rectangles. y 2 Is your estimate an underestimate or an overestimate of the true area? O underestimate O overestimate (b) Repeat part (a) using a left endpoints. (Round your answer to four decimal places.) Sketch the graph and the rectangles. Is your estimate an underestimate or an overestimate of the true area? O underestimate O overestimate 2 2 1 2
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Unless specified, all approximating rectangles are assumed to have the same width.
Let f(x) =
(a) Estimate the area under the graph of f, the x-axis, and the lines x-1 and x-2 using four approximating rectangles and right endpoints. (Round your answer to four decimal places.)
Sketch the graph and the rectangles.
y
2
Is your estimate an underestimate or an overestimate of the true area?
O underestimate
O overestimate
(b) Repeat part (a) using a left endpoints. (Round your answer to four decimal places.)
Sketch the graph and the rectangles.
Is your estimate an underestimate or an overestimate of the true area?
O underestimate
O overestimate
2
2
1
2
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