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
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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
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