1. Let F(x, y) = (279). Is there a scalar-valued function f(x, y) such that F = Vƒ? If not say why not, and if so find f.
1. Let F(x, y) = (279). Is there a scalar-valued function f(x, y) such that F = Vƒ? If not say why not, and if so find f.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Number 1

Transcribed Image Text:o find anti-derivatives of vector fields
o compute path integrals via the FTC
1. Let F(x, y) = (y). Is there a scalar-valued function f(x, y) such
that F Vƒ? If not say why not, and if so find f.
2. Let F(x, y) = (sin(e)-v). Is there a scalar-valued function f(x, y) such
that F = Vƒ? If not say why not, and if so find f.
sin r+sin y
y). Is there a scalar-valued function g(x, y)
such that F= Vƒ? If not explain why, and if so find f.
3. Let F(x, y)
=
Expert Solution

Step 1: To check F is coservative or not:
Step by step
Solved in 3 steps with 2 images

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