A machinist is required to manufacture a circular metal disk with area 864 cm². Give your answers in exact form. Do not write them as decimal approximations. a) What radius, x, produces such a disk? b) If the machinist is allowed an error tolerance of ±5 cm² in the area of the disk, how close to the ideal radius in part (a) must the machinist control the radius? ¯)(√ 2-√ a = L 861 π E 5 c) Using the ε/ definition of a limit, determine each of the following values in this context: f(x) 2 TX =856 856 π 856 π 861 856 π π X X OF 856 T 851 π 856 851 ³- {(√²-√²)(√²-√² )}, 8 T 856 π X X π
A machinist is required to manufacture a circular metal disk with area 864 cm². Give your answers in exact form. Do not write them as decimal approximations. a) What radius, x, produces such a disk? b) If the machinist is allowed an error tolerance of ±5 cm² in the area of the disk, how close to the ideal radius in part (a) must the machinist control the radius? ¯)(√ 2-√ a = L 861 π E 5 c) Using the ε/ definition of a limit, determine each of the following values in this context: f(x) 2 TX =856 856 π 856 π 861 856 π π X X OF 856 T 851 π 856 851 ³- {(√²-√²)(√²-√² )}, 8 T 856 π X X π
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.4: Cicumference And Area Of A Cicle
Problem 13E: A metal circular disk whose area is 143 cm2 is used as a knock out opening on an electrical service...
Related questions
Question
red means that it is wrong
![A machinist is required to manufacture a circular metal disk with area 864 cm². Give your
answers in exact form. Do not write them as decimal approximations.
a) What radius, x, produces such a disk?
b) If the machinist is allowed an error tolerance of ±5 cm² in the area of the disk, how
close to the ideal radius in part (a) must the machinist control the radius?
a
861
π
ε =
5
L = 856
2
TUX
856
TU
c) Using the ε/ definition of a limit, determine each of the following values in this
context:
f(x)
856
-√³)(√²-√²¹ )} *
X
π
856
861
π
π
X
X
851
856
π
π
856
851
³- {(√²-√²)(√²+ -√² )},
8
π
π
856
π
JE
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fec8216c7-9603-414d-880e-1b2c9e8c3a03%2Fe00bbfa3-2881-4541-96b9-d73686e2d355%2F86on88u_processed.png&w=3840&q=75)
Transcribed Image Text:A machinist is required to manufacture a circular metal disk with area 864 cm². Give your
answers in exact form. Do not write them as decimal approximations.
a) What radius, x, produces such a disk?
b) If the machinist is allowed an error tolerance of ±5 cm² in the area of the disk, how
close to the ideal radius in part (a) must the machinist control the radius?
a
861
π
ε =
5
L = 856
2
TUX
856
TU
c) Using the ε/ definition of a limit, determine each of the following values in this
context:
f(x)
856
-√³)(√²-√²¹ )} *
X
π
856
861
π
π
X
X
851
856
π
π
856
851
³- {(√²-√²)(√²+ -√² )},
8
π
π
856
π
JE
X
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
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 3 steps with 3 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Elementary Geometry For College Students, 7e](https://www.bartleby.com/isbn_cover_images/9781337614085/9781337614085_smallCoverImage.jpg)
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
![Elementary Geometry for College Students](https://www.bartleby.com/isbn_cover_images/9781285195698/9781285195698_smallCoverImage.gif)
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
![Trigonometry (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652224/9781305652224_smallCoverImage.gif)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
![Elementary Geometry For College Students, 7e](https://www.bartleby.com/isbn_cover_images/9781337614085/9781337614085_smallCoverImage.jpg)
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
![Elementary Geometry for College Students](https://www.bartleby.com/isbn_cover_images/9781285195698/9781285195698_smallCoverImage.gif)
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
![Trigonometry (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652224/9781305652224_smallCoverImage.gif)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
![Mathematics For Machine Technology](https://www.bartleby.com/isbn_cover_images/9781337798310/9781337798310_smallCoverImage.jpg)
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![Algebra: Structure And Method, Book 1](https://www.bartleby.com/isbn_cover_images/9780395977224/9780395977224_smallCoverImage.gif)
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell