Sketch and estimate the area of the region bounded by y = ln x, y = 0, x = 1, and x = 13 by using: a) 9 evenly spaced rectangles and right endpoints. Area estimate: 12.80182 (be sure to enter at least 5 correct decimal places!) Underestimate or Overestimate? Enter U or O: b) 7 evenly spaced rectangles and left endpoints. Area estimate: (be sure to enter at least 5 correct decimal places!) Underestimate or Overestimate? Enter U or O: c) 5 evenly spaced rectangles and midpoints. Area estimate: (be sure to enter at least 5 correct decimal places!) Underestimate or Overestimate? (It's harder to tell... take a guess!) Enter U or O:
Sketch and estimate the area of the region bounded by y = ln x, y = 0, x = 1, and x = 13 by using: a) 9 evenly spaced rectangles and right endpoints. Area estimate: 12.80182 (be sure to enter at least 5 correct decimal places!) Underestimate or Overestimate? Enter U or O: b) 7 evenly spaced rectangles and left endpoints. Area estimate: (be sure to enter at least 5 correct decimal places!) Underestimate or Overestimate? Enter U or O: c) 5 evenly spaced rectangles and midpoints. Area estimate: (be sure to enter at least 5 correct decimal places!) Underestimate or Overestimate? (It's harder to tell... take a guess!) Enter U or O:
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter61: Areas Of Circles, Sectors, And Segments
Section: Chapter Questions
Problem 50A
Related questions
Question
![Sketch and estimate the area of the region bounded by
y = ln x, y = 0, x = 1, and x
13 by using:
=
a) 9 evenly spaced rectangles and right endpoints.
Area estimate: 12.80182
(be sure to enter
at least 5 correct decimal places!)
Underestimate or Overestimate? Enter U or O:
b) 7 evenly spaced rectangles and left endpoints. Area
estimate:
(be sure to enter at
least 5 correct decimal places!)
Underestimate or Overestimate? Enter U or O:
c) 5 evenly spaced rectangles and midpoints. Area
estimate:
(be sure to enter at
least 5 correct decimal places!)
Underestimate or Overestimate? (It's harder to tell... take
a guess!) Enter U or O:
NOTE: To facilitate your calculations you may wish to
use the property of logarithms that
In x₁ + ln x₂ + + In x₂ = ln (x₁x2...Xn)
xn In
***](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2af5a58a-26e3-4baa-9073-1b18b1512b13%2Fd0836467-c8ce-4617-99c5-b4933591aa4b%2Fpcfiv4n_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Sketch and estimate the area of the region bounded by
y = ln x, y = 0, x = 1, and x
13 by using:
=
a) 9 evenly spaced rectangles and right endpoints.
Area estimate: 12.80182
(be sure to enter
at least 5 correct decimal places!)
Underestimate or Overestimate? Enter U or O:
b) 7 evenly spaced rectangles and left endpoints. Area
estimate:
(be sure to enter at
least 5 correct decimal places!)
Underestimate or Overestimate? Enter U or O:
c) 5 evenly spaced rectangles and midpoints. Area
estimate:
(be sure to enter at
least 5 correct decimal places!)
Underestimate or Overestimate? (It's harder to tell... take
a guess!) Enter U or O:
NOTE: To facilitate your calculations you may wish to
use the property of logarithms that
In x₁ + ln x₂ + + In x₂ = ln (x₁x2...Xn)
xn In
***
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