Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
The height h and semi-vertical angle a of a cone are measured and from them A the total area of the surface of the cone including the base is calculated. If h and a are in error by small quantities dh and da respectively, find the corresponding orror in the area. Show further that if a = T/6, an error of + 1% in h wi!ll be approximately compensated by an error of -0.33 degrees in a.

The height h and semi-vertical angle a of a cone are measured and from them A the total area of the surface of the cone including the base is calculated. If h and a are in error by small quantities dh and da respectively, find the corresponding orror in the area. Show further that if a = T/6, an error of + 1% in h wi!ll be approximately compensated by an error of -0.33 degrees in a.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question
100%

solve correct on paper , if you give wrong ,i will give downvote

The height h and semi-vertical angle a of a cone are measured and from them A the total area of the surface of the cone including the base is calculated. If h and a are in error by small quantities &h and Sa respectively, find the corresponding in the area. Show further that if a = T/6, an error of + 1% in h will be approximately compensated by an error of -0.33 degrees error in a.
Transcribed Image Text:The height h and semi-vertical angle a of a cone are measured and from them A the total area of the surface of the cone including the base is calculated. If h and a are in error by small quantities &h and Sa respectively, find the corresponding in the area. Show further that if a = T/6, an error of + 1% in h will be approximately compensated by an error of -0.33 degrees error in a.
The height h and semi-vertical angle a of a cone are measured and from them A the total area of the surface of the cone including the base is calculated. If h and a are in error by small quantities &h and Sa respectively, find the corresponding in the area. Show further that if a = T/6, an error of + 1% in h will be approximately compensated by an error of -0.33 degrees error in a.
Transcribed Image Text:The height h and semi-vertical angle a of a cone are measured and from them A the total area of the surface of the cone including the base is calculated. If h and a are in error by small quantities &h and Sa respectively, find the corresponding in the area. Show further that if a = T/6, an error of + 1% in h will be approximately compensated by an error of -0.33 degrees error in a.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS