Find the sum of the areas of the shaded rectangles under the graph. [Hint: The width of each rectangle is the difference between the x-values at its base. The height of each rectangle is the height of the curve at the left edge of the rectangle.] y 16H 14 8x || 12 y 10 8 6 4 2 1 1.25 1.5 1.75 x 2 ①
Find the sum of the areas of the shaded rectangles under the graph. [Hint: The width of each rectangle is the difference between the x-values at its base. The height of each rectangle is the height of the curve at the left edge of the rectangle.] y 16H 14 8x || 12 y 10 8 6 4 2 1 1.25 1.5 1.75 x 2 ①
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 51E
Related questions
Question
The sum of the areas of the rectangles approximates the area under the curve, though not very well. Notice that every rectangle extends above the curve
f(x) =
,
and hence the rectangles provide an overestimate of the area.| 8 |
| x |
To find the areas of the rectangles, we recall (or look up in the text) the formula for the area of a rectangle:
A =
where h is the height and w is the width.
We will need the width and height of each rectangle.
![Find the sum of the areas of the shaded rectangles under the graph. [Hint: The width of each rectangle is the
difference between the x-values at its base. The height of each rectangle is the height of the curve at the left edge
of the rectangle.]
y
16H
14
8x
||
12
y
10
8
6
4
2
1 1.25 1.5 1.75
x
2 ①](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F47c22684-0780-4dbb-b668-3d49e6bb058b%2F217a3163-09dd-4a4c-902c-3659ef4e10fc%2Fw8x3sct_processed.png&w=3840&q=75)
Transcribed Image Text:Find the sum of the areas of the shaded rectangles under the graph. [Hint: The width of each rectangle is the
difference between the x-values at its base. The height of each rectangle is the height of the curve at the left edge
of the rectangle.]
y
16H
14
8x
||
12
y
10
8
6
4
2
1 1.25 1.5 1.75
x
2 ①
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL