is because the integral gives the wrong answer in poorly chosen coordinates. For example r0=2π r=R 1 dr d0 = 2πR, but we know this integral should be TR², the area of the unit disk.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 6E: Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a...
icon
Related questions
Question

true or false and why please

The reason we need different coordinate systems when calculating area integrals
Transcribed Image Text:The reason we need different coordinate systems when calculating area integrals
is because the integral gives the wrong answer in poorly chosen coordinates. For example
r0=2π r=R
1 dr d0 = 2πR,
but we know this integral should be TR², the area of the unit disk.
Transcribed Image Text:is because the integral gives the wrong answer in poorly chosen coordinates. For example r0=2π r=R 1 dr d0 = 2πR, but we know this integral should be TR², the area of the unit disk.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Algebra: Structure And Method, Book 1
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