The graph of a function is shown below as a blue curve. Create a visualization of a midpoint approximation for the area under the curve on the interval [-8, 1] using 7 rectangles. Slide the orange points horizontally to adjust the endpoints of the interval. Use the vertical slider on the right side of the graphing window (blue movable point) to control how many rectangles your approximation for the area will have. The value of each rectangle's width, Az, is also shown. Finally, drag the black movable points to adjust the height of each of the rectangular boxes.
The graph of a function is shown below as a blue curve. Create a visualization of a midpoint approximation for the area under the curve on the interval [-8, 1] using 7 rectangles. Slide the orange points horizontally to adjust the endpoints of the interval. Use the vertical slider on the right side of the graphing window (blue movable point) to control how many rectangles your approximation for the area will have. The value of each rectangle's width, Az, is also shown. Finally, drag the black movable points to adjust the height of each of the rectangular boxes.
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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Question
![The graph of a function is shown below as a blue curve. Create a visualization of a midpoint approximation for the area
under the curve on the interval [-8, 1] using 7 rectangles.
Slide the orange points horizontally to adjust the endpoints of the interval. Use the vertical slider on the right side of the
graphing window (blue movable point) to control how many rectangles your approximation for the area will have. The value
of each rectangle's width, Az, is also shown. Finally, drag the black movable points to adjust the height of each of the
rectangular boxes.
Provide your answer below:
-10 -9 -8 -7
-6
-3
-5 4 -3
a=
-10-
-9-
-8-
-7
6
5
4
-3
2-
0
--1-
--2-
--3-
4
-5
-6
N
-7
-8
-9-
p
-10-
2 3 4
all
More Rectangles
5
n4
Ax=2
Fewer Rectangles
5
oc
6
7
8
9
10](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fad396f38-0950-4136-90e0-b177d8f23e70%2Fdcb4fdfa-dbb4-47af-8863-ca6b9e6453a6%2Faceysu_processed.png&w=3840&q=75)
Transcribed Image Text:The graph of a function is shown below as a blue curve. Create a visualization of a midpoint approximation for the area
under the curve on the interval [-8, 1] using 7 rectangles.
Slide the orange points horizontally to adjust the endpoints of the interval. Use the vertical slider on the right side of the
graphing window (blue movable point) to control how many rectangles your approximation for the area will have. The value
of each rectangle's width, Az, is also shown. Finally, drag the black movable points to adjust the height of each of the
rectangular boxes.
Provide your answer below:
-10 -9 -8 -7
-6
-3
-5 4 -3
a=
-10-
-9-
-8-
-7
6
5
4
-3
2-
0
--1-
--2-
--3-
4
-5
-6
N
-7
-8
-9-
p
-10-
2 3 4
all
More Rectangles
5
n4
Ax=2
Fewer Rectangles
5
oc
6
7
8
9
10
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