Example 2: Using four rectangles to estimate the area between the graph of the given function and the x-axis on the given interval. Construct three estimates for the function using: left endpoints, right endpoints and midpoints of the subinterval. For each estimate, give a sketch which includes the represented rectangles. f (x) = V4 – x² on [-2,2] a) Show work for using left-hand endpoints estimate.
Example 2: Using four rectangles to estimate the area between the graph of the given function and the x-axis on the given interval. Construct three estimates for the function using: left endpoints, right endpoints and midpoints of the subinterval. For each estimate, give a sketch which includes the represented rectangles. f (x) = V4 – x² on [-2,2] a) Show work for using left-hand endpoints estimate.
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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![Example 2: Using four rectangles to estimate the area between the graph of the given function
and the x-axis on the given interval. Construct three estimates for the function using: left
endpoints, right endpoints and midpoints of the subinterval. For each estimate, give a sketch
which includes the represented rectangles.
f(x) = v4 – x² on [-2,2]
a) Show work for using left-hand endpoints estimate.
3-
2
1
-3
-2
-1
2
-1
--2
-3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbef9531f-0183-4bae-9af8-c39303b943fa%2F0d066e9a-957d-47eb-b7bd-169c516b16ab%2Fuhi9y6n_processed.png&w=3840&q=75)
Transcribed Image Text:Example 2: Using four rectangles to estimate the area between the graph of the given function
and the x-axis on the given interval. Construct three estimates for the function using: left
endpoints, right endpoints and midpoints of the subinterval. For each estimate, give a sketch
which includes the represented rectangles.
f(x) = v4 – x² on [-2,2]
a) Show work for using left-hand endpoints estimate.
3-
2
1
-3
-2
-1
2
-1
--2
-3
Transcribed Image Text:b) Show work for right hand endpoint estimate.
3
1-
-2
-1
3.
-1
-2
c) Show work for midpoint estimate.
3.
-2
13
1
2
3
-1
-2
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