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Show is conservative by finding a potential function f for F, and use f to compute for 0 St≤m/2. f(z. y) = F(x, y) = (2xy + 3)i + (3x³y² +2e²)j •[F.. r(t) = (2 sin² t)i + (sin¹2(5e) F. dr = dr, where C is the curve given by

Show is conservative by finding a potential function f for F, and use f to compute for 0 St≤m/2. f(z. y) = F(x, y) = (2xy + 3)i + (3x³y² +2e²)j •[F.. r(t) = (2 sin² t)i + (sin¹2(5e) F. dr = dr, where C is the curve given by

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
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Show F(x, y) = (2xy + 3)i + (3x²² +2e²)j is conservative by finding a potential function f for F, and use f to compute F-dr, where C' is the curve given by for 0 ≤ t ≤ x/2. f(x,y)= F. dr = r(t) = (2 sin t)i + (sin¹2(5e) (5t))J
Transcribed Image Text:Show F(x, y) = (2xy + 3)i + (3x²² +2e²)j is conservative by finding a potential function f for F, and use f to compute F-dr, where C' is the curve given by for 0 ≤ t ≤ x/2. f(x,y)= F. dr = r(t) = (2 sin t)i + (sin¹2(5e) (5t))J
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