1. If C is a closed curve that is the boundary of a surface S, and f and g are C² functions, show that (a) S fVg - dr = fo (b) √ (fVg+gVf). dr = 0 (Vfx Vg) ds. xx
1. If C is a closed curve that is the boundary of a surface S, and f and g are C² functions, show that (a) S fVg - dr = fo (b) √ (fVg+gVf). dr = 0 (Vfx Vg) ds. xx
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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Transcribed Image Text:1.
If C is a closed curve that is the boundary of a surface S, and f
and g are C² functions, show that
(a) √ f√g. dr =
= 11,101 ×
(b) √ (fVg+gVf) · dr = 0
(Vƒ × Vg) · dS.
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