If S₁, GR are two manifolds and FIRM 52. Smoothness for f. show that SS. S fir¬R x2 f(x₁, x₂) = 1 + x₂ [c^² = {(x₁, x₂) ER ² | x ²₁² + x ² = 1 Define then f is Smeeth
If S₁, GR are two manifolds and FIRM 52. Smoothness for f. show that SS. S fir¬R x2 f(x₁, x₂) = 1 + x₂ [c^² = {(x₁, x₂) ER ² | x ²₁² + x ² = 1 Define then f is Smeeth
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![1.
If S₁,
GR
Smoothness for f.
show that
SNC
are Two manifolds and
MEIRM
| fir-R
x2
[ f(x₁, x₂] = = = 2²₂
s-
[0²= {(x₁, x₂) ER²² | x² ² + x ² = 1
2
2
Define
then f is Smeeth](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1f33d58e-2bcf-4380-bf0e-bba15986f830%2F012412ef-b500-4c27-9bcb-eca9a1490677%2F73uro1s_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1.
If S₁,
GR
Smoothness for f.
show that
SNC
are Two manifolds and
MEIRM
| fir-R
x2
[ f(x₁, x₂] = = = 2²₂
s-
[0²= {(x₁, x₂) ER²² | x² ² + x ² = 1
2
2
Define
then f is Smeeth
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